[8422] | 1 | MODULE iceitd |
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| 2 | !!====================================================================== |
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| 3 | !! *** MODULE iceitd *** |
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| 4 | !! LIM3 ice model : ice thickness distribution: Thermodynamics |
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| 5 | !!====================================================================== |
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| 6 | !! History : - ! (W. H. Lipscomb and E.C. Hunke) CICE (c) original code |
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| 7 | !! 3.0 ! 2005-12 (M. Vancoppenolle) adaptation to LIM-3 |
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| 8 | !! - ! 2006-06 (M. Vancoppenolle) adaptation to include salt, age |
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| 9 | !! - ! 2007-04 (M. Vancoppenolle) Mass conservation checked |
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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 | !! ice_itd_rem : |
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| 16 | !! ice_itd_reb : |
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| 17 | !! ice_itd_glinear : |
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| 18 | !! ice_itd_shiftice : |
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| 19 | !!---------------------------------------------------------------------- |
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| 20 | USE par_oce ! ocean parameters |
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| 21 | USE dom_oce ! ocean domain |
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| 22 | USE phycst ! physical constants (ocean directory) |
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| 23 | USE ice1D ! LIM-3 thermodynamic variables |
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| 24 | USE ice ! LIM-3 variables |
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[8426] | 25 | USE icectl ! conservation tests |
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[8422] | 26 | USE icetab |
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| 27 | ! |
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| 28 | USE prtctl ! Print control |
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| 29 | USE in_out_manager ! I/O manager |
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| 30 | USE lib_mpp ! MPP library |
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| 31 | USE lib_fortran ! to use key_nosignedzero |
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| 32 | |
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| 33 | IMPLICIT NONE |
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| 34 | PRIVATE |
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| 35 | |
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| 36 | PUBLIC ice_itd_rem ! called in icethd |
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| 37 | PUBLIC ice_itd_reb ! called in iceerr |
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| 38 | |
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| 39 | !!---------------------------------------------------------------------- |
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| 40 | !! NEMO/LIM3 4.0 , UCL - NEMO Consortium (2010) |
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| 41 | !! $Id: iceitd.F90 8420 2017-08-08 12:18:46Z clem $ |
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| 42 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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| 43 | !!---------------------------------------------------------------------- |
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| 44 | CONTAINS |
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| 45 | |
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| 46 | SUBROUTINE ice_itd_rem( kt ) |
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| 47 | !!------------------------------------------------------------------ |
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| 48 | !! *** ROUTINE ice_itd_rem *** |
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| 49 | !! |
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| 50 | !! ** Purpose : computes the redistribution of ice thickness |
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| 51 | !! after thermodynamic growth of ice thickness |
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| 52 | !! |
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| 53 | !! ** Method : Linear remapping |
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| 54 | !! |
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| 55 | !! References : W.H. Lipscomb, JGR 2001 |
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| 56 | !!------------------------------------------------------------------ |
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| 57 | INTEGER , INTENT (in) :: kt ! Ocean time step |
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| 58 | ! |
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| 59 | INTEGER :: ji, jj, jl, jcat ! dummy loop index |
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| 60 | INTEGER :: nidx2 ! local integer |
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| 61 | REAL(wp) :: zx1, zwk1, zdh0, zetamin, zdamax ! local scalars |
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| 62 | REAL(wp) :: zx2, zwk2, zda0, zetamax ! - - |
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| 63 | REAL(wp) :: zx3 |
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| 64 | REAL(wp) :: zslope ! used to compute local thermodynamic "speeds" |
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| 65 | REAL(wp) :: zvi_b, zsmv_b, zei_b, zfs_b, zfw_b, zft_b ! conservation check |
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| 66 | |
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| 67 | INTEGER , DIMENSION(jpij) :: idxice2 ! compute remapping or not |
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| 68 | INTEGER , DIMENSION(jpij,jpl-1) :: jdonor ! donor category index |
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| 69 | REAL(wp), DIMENSION(jpij,jpl) :: zdhice ! ice thickness increment |
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| 70 | REAL(wp), DIMENSION(jpij,jpl) :: g0, g1 ! coefficients for fitting the line of the ITD |
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| 71 | REAL(wp), DIMENSION(jpij,jpl) :: hL, hR ! left and right boundary for the ITD for each thickness |
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| 72 | REAL(wp), DIMENSION(jpij,jpl-1) :: zdaice, zdvice ! local increment of ice area and volume |
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| 73 | REAL(wp), DIMENSION(jpij) :: zhb0, zhb1 ! category boundaries for thinnes categories |
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| 74 | REAL(wp), DIMENSION(jpij,0:jpl) :: zhbnew ! new boundaries of ice categories |
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| 75 | !!------------------------------------------------------------------ |
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| 76 | |
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| 77 | IF( kt == nit000 .AND. lwp) THEN |
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| 78 | WRITE(numout,*) |
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| 79 | WRITE(numout,*) 'ice_itd_rem : Remapping the ice thickness distribution' |
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| 80 | WRITE(numout,*) '~~~~~~~~~~~~~~~' |
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| 81 | ENDIF |
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| 82 | |
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| 83 | IF( ln_limdiachk ) CALL ice_cons_hsm(0, 'iceitd_rem', zvi_b, zsmv_b, zei_b, zfw_b, zfs_b, zft_b) |
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| 84 | |
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| 85 | !----------------------------------------------------------------------------------------------- |
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| 86 | ! 1) Identify grid cells with ice |
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| 87 | !----------------------------------------------------------------------------------------------- |
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| 88 | nidx = 0 ; idxice(:) = 0 |
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| 89 | DO jj = 1, jpj |
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| 90 | DO ji = 1, jpi |
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| 91 | IF ( at_i(ji,jj) > epsi10 ) THEN |
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| 92 | nidx = nidx + 1 |
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| 93 | idxice( nidx ) = (jj - 1) * jpi + ji |
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| 94 | ENDIF |
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| 95 | END DO |
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| 96 | END DO |
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| 97 | |
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| 98 | !----------------------------------------------------------------------------------------------- |
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| 99 | ! 2) Compute new category boundaries |
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| 100 | !----------------------------------------------------------------------------------------------- |
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| 101 | IF( nidx > 0 ) THEN |
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| 102 | |
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| 103 | zdhice(:,:) = 0._wp |
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| 104 | zhbnew(:,:) = 0._wp |
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| 105 | |
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| 106 | CALL tab_3d_2d( nidx, idxice(1:nidx), ht_i_2d (1:nidx,1:jpl), ht_i ) |
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| 107 | CALL tab_3d_2d( nidx, idxice(1:nidx), ht_ib_2d(1:nidx,1:jpl), ht_i_b ) |
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| 108 | CALL tab_3d_2d( nidx, idxice(1:nidx), a_i_2d (1:nidx,1:jpl), a_i ) |
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| 109 | CALL tab_3d_2d( nidx, idxice(1:nidx), a_ib_2d (1:nidx,1:jpl), a_i_b ) |
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| 110 | |
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| 111 | DO jl = 1, jpl |
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| 112 | ! Compute thickness change in each ice category |
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| 113 | DO ji = 1, nidx |
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| 114 | zdhice(ji,jl) = ht_i_2d(ji,jl) - ht_ib_2d(ji,jl) |
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| 115 | END DO |
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| 116 | END DO |
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| 117 | |
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| 118 | ! --- New boundaries for category 1:jpl-1 --- ! |
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| 119 | DO jl = 1, jpl - 1 |
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| 120 | |
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| 121 | DO ji = 1, nidx |
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| 122 | ! |
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| 123 | ! --- New boundary: Hn* = Hn + Fn*dt --- ! |
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| 124 | ! Fn*dt = ( fn + (fn+1 - fn)/(hn+1 - hn) * (Hn - hn) ) * dt = zdhice + zslope * (Hmax - ht_i_b) |
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| 125 | ! |
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| 126 | IF ( a_ib_2d(ji,jl) > epsi10 .AND. a_ib_2d(ji,jl+1) > epsi10 ) THEN ! a(jl+1) & a(jl) /= 0 |
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| 127 | zslope = ( zdhice(ji,jl+1) - zdhice(ji,jl) ) / ( ht_ib_2d(ji,jl+1) - ht_ib_2d(ji,jl) ) |
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| 128 | zhbnew(ji,jl) = hi_max(jl) + zdhice(ji,jl) + zslope * ( hi_max(jl) - ht_ib_2d(ji,jl) ) |
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| 129 | ELSEIF( a_ib_2d(ji,jl) > epsi10 .AND. a_ib_2d(ji,jl+1) <= epsi10 ) THEN ! a(jl+1)=0 => Hn* = Hn + fn*dt |
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| 130 | zhbnew(ji,jl) = hi_max(jl) + zdhice(ji,jl) |
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| 131 | ELSEIF( a_ib_2d(ji,jl) <= epsi10 .AND. a_ib_2d(ji,jl+1) > epsi10 ) THEN ! a(jl)=0 => Hn* = Hn + fn+1*dt |
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| 132 | zhbnew(ji,jl) = hi_max(jl) + zdhice(ji,jl+1) |
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| 133 | ELSE ! a(jl+1) & a(jl) = 0 |
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| 134 | zhbnew(ji,jl) = hi_max(jl) |
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| 135 | ENDIF |
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| 136 | |
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| 137 | ! --- 2 conditions for remapping --- ! |
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| 138 | ! 1) hn(t+1)+espi < Hn* < hn+1(t+1)-epsi |
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| 139 | ! Note: hn(t+1) must not be too close to either HR or HL otherwise a division by nearly 0 is possible |
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| 140 | ! in ice_itd_glinear in the case (HR-HL) = 3(Hice - HL) or = 3(HR - Hice) |
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| 141 | IF( a_i_2d(ji,jl ) > epsi10 .AND. ht_i_2d(ji,jl ) > ( zhbnew(ji,jl) - epsi10 ) ) idxice(ji) = 0 |
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| 142 | IF( a_i_2d(ji,jl+1) > epsi10 .AND. ht_i_2d(ji,jl+1) < ( zhbnew(ji,jl) + epsi10 ) ) idxice(ji) = 0 |
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| 143 | |
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| 144 | ! 2) Hn-1 < Hn* < Hn+1 |
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| 145 | IF( zhbnew(ji,jl) < hi_max(jl-1) ) idxice(ji) = 0 |
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| 146 | IF( zhbnew(ji,jl) > hi_max(jl+1) ) idxice(ji) = 0 |
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| 147 | |
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| 148 | END DO |
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| 149 | END DO |
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| 150 | |
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| 151 | ! --- New boundaries for category jpl --- ! |
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| 152 | DO ji = 1, nidx |
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| 153 | IF( a_i_2d(ji,jpl) > epsi10 ) THEN |
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| 154 | zhbnew(ji,jpl) = MAX( hi_max(jpl-1), 3._wp * ht_i_2d(ji,jpl) - 2._wp * zhbnew(ji,jpl-1) ) |
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| 155 | ELSE |
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| 156 | zhbnew(ji,jpl) = hi_max(jpl) |
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| 157 | ENDIF |
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| 158 | |
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| 159 | ! --- 1 additional condition for remapping (1st category) --- ! |
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| 160 | ! H0+epsi < h1(t) < H1-epsi |
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| 161 | ! h1(t) must not be too close to either HR or HL otherwise a division by nearly 0 is possible |
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| 162 | ! in ice_itd_glinear in the case (HR-HL) = 3(Hice - HL) or = 3(HR - Hice) |
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| 163 | IF( ht_ib_2d(ji,1) < ( hi_max(0) + epsi10 ) ) idxice(ji) = 0 |
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| 164 | IF( ht_ib_2d(ji,1) > ( hi_max(1) - epsi10 ) ) idxice(ji) = 0 |
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| 165 | END DO |
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| 166 | |
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| 167 | !----------------------------------------------------------------------------------------------- |
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| 168 | ! 3) Identify cells where remapping |
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| 169 | !----------------------------------------------------------------------------------------------- |
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| 170 | nidx2 = 0 ; idxice2(:) = 0 |
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| 171 | DO ji = 1, nidx |
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| 172 | IF( idxice(ji) /= 0 ) THEN |
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| 173 | nidx2 = nidx2 + 1 |
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| 174 | idxice2(nidx2) = idxice(ji) |
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| 175 | zhbnew(nidx2,:) = zhbnew(ji,:) ! adjust zhbnew to new indices |
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| 176 | ENDIF |
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| 177 | END DO |
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| 178 | idxice(:) = idxice2(:) |
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| 179 | nidx = nidx2 |
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| 180 | |
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| 181 | ENDIF |
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| 182 | |
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| 183 | |
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| 184 | !----------------------------------------------------------------------------------------------- |
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| 185 | ! 4) Compute g(h) |
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| 186 | !----------------------------------------------------------------------------------------------- |
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| 187 | IF( nidx > 0 ) THEN |
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| 188 | |
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| 189 | zhb0(:) = hi_max(0) ; zhb1(:) = hi_max(1) |
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| 190 | g0(:,:) = 0._wp ; g1(:,:) = 0._wp |
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| 191 | hL(:,:) = 0._wp ; hR(:,:) = 0._wp |
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| 192 | |
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| 193 | DO jl = 1, jpl |
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| 194 | |
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| 195 | CALL tab_2d_1d( nidx, idxice(1:nidx), ht_ib_1d(1:nidx), ht_i_b(:,:,jl) ) |
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| 196 | CALL tab_2d_1d( nidx, idxice(1:nidx), ht_i_1d (1:nidx), ht_i(:,:,jl) ) |
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| 197 | CALL tab_2d_1d( nidx, idxice(1:nidx), a_i_1d (1:nidx), a_i(:,:,jl) ) |
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| 198 | CALL tab_2d_1d( nidx, idxice(1:nidx), v_i_1d (1:nidx), v_i(:,:,jl) ) |
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| 199 | |
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| 200 | IF( jl == 1 ) THEN |
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| 201 | |
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| 202 | ! --- g(h) for category 1 --- ! |
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| 203 | CALL ice_itd_glinear( zhb0(1:nidx), zhb1(1:nidx), ht_ib_1d(1:nidx), a_i_1d(1:nidx), & ! in |
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| 204 | & g0(1:nidx,1), g1(1:nidx,1), hL(1:nidx,1) , hR(1:nidx,1) ) ! out |
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| 205 | |
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| 206 | ! Area lost due to melting of thin ice |
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| 207 | DO ji = 1, nidx |
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| 208 | |
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| 209 | IF( a_i_1d(ji) > epsi10 ) THEN |
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| 210 | |
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| 211 | zdh0 = ht_i_1d(ji) - ht_ib_1d(ji) |
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| 212 | IF( zdh0 < 0.0 ) THEN !remove area from category 1 |
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| 213 | zdh0 = MIN( -zdh0, hi_max(1) ) |
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| 214 | !Integrate g(1) from 0 to dh0 to estimate area melted |
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| 215 | zetamax = MIN( zdh0, hR(ji,1) ) - hL(ji,1) |
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| 216 | |
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| 217 | IF( zetamax > 0.0 ) THEN |
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| 218 | zx1 = zetamax |
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| 219 | zx2 = 0.5 * zetamax * zetamax |
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| 220 | zda0 = g1(ji,1) * zx2 + g0(ji,1) * zx1 ! ice area removed |
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| 221 | zdamax = a_i_1d(ji) * (1.0 - ht_i_1d(ji) / ht_ib_1d(ji) ) ! Constrain new thickness <= ht_i |
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| 222 | zda0 = MIN( zda0, zdamax ) ! ice area lost due to melting |
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| 223 | ! of thin ice (zdamax > 0) |
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| 224 | ! Remove area, conserving volume |
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| 225 | ht_i_1d(ji) = ht_i_1d(ji) * a_i_1d(ji) / ( a_i_1d(ji) - zda0 ) |
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| 226 | a_i_1d(ji) = a_i_1d(ji) - zda0 |
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| 227 | v_i_1d(ji) = a_i_1d(ji) * ht_i_1d(ji) ! clem-useless ? |
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| 228 | ENDIF |
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| 229 | |
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| 230 | ELSE ! if ice accretion zdh0 > 0 |
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| 231 | ! zhbnew was 0, and is shifted to the right to account for thin ice growth in openwater (F0 = f1) |
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| 232 | zhbnew(ji,0) = MIN( zdh0, hi_max(1) ) |
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| 233 | ENDIF |
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| 234 | |
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| 235 | ENDIF |
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| 236 | |
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| 237 | END DO |
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| 238 | |
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| 239 | CALL tab_1d_2d( nidx, idxice(1:nidx), ht_i_1d (1:nidx), ht_i(:,:,jl) ) |
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| 240 | CALL tab_1d_2d( nidx, idxice(1:nidx), a_i_1d (1:nidx), a_i(:,:,jl) ) |
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| 241 | CALL tab_1d_2d( nidx, idxice(1:nidx), v_i_1d (1:nidx), v_i(:,:,jl) ) |
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| 242 | |
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| 243 | ENDIF ! jl=1 |
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| 244 | |
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| 245 | ! --- g(h) for each thickness category --- ! |
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| 246 | CALL ice_itd_glinear( zhbnew(1:nidx,jl-1), zhbnew(1:nidx,jl), ht_i_1d(1:nidx), a_i_1d(1:nidx), & ! in |
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| 247 | & g0(1:nidx,jl) , g1(1:nidx,jl) , hL(1:nidx,jl) , hR(1:nidx,jl) ) ! out |
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| 248 | |
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| 249 | END DO |
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| 250 | |
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| 251 | !----------------------------------------------------------------------------------------------- |
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| 252 | ! 5) Compute area and volume to be shifted across each boundary (Eq. 18) |
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| 253 | !----------------------------------------------------------------------------------------------- |
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| 254 | DO jl = 1, jpl - 1 |
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| 255 | |
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| 256 | DO ji = 1, nidx |
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| 257 | |
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| 258 | ! left and right integration limits in eta space |
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| 259 | IF (zhbnew(ji,jl) > hi_max(jl)) THEN ! Hn* > Hn => transfer from jl to jl+1 |
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| 260 | zetamin = MAX( hi_max(jl) , hL(ji,jl) ) - hL(ji,jl) ! hi_max(jl) - hL |
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| 261 | zetamax = MIN( zhbnew(ji,jl), hR(ji,jl) ) - hL(ji,jl) ! hR - hL |
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| 262 | jdonor(ji,jl) = jl |
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| 263 | ELSE ! Hn* <= Hn => transfer from jl+1 to jl |
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| 264 | zetamin = 0.0 |
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| 265 | zetamax = MIN( hi_max(jl), hR(ji,jl+1) ) - hL(ji,jl+1) ! hi_max(jl) - hL |
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| 266 | jdonor(ji,jl) = jl + 1 |
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| 267 | ENDIF |
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| 268 | zetamax = MAX( zetamax, zetamin ) ! no transfer if etamax < etamin |
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| 269 | |
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| 270 | zx1 = zetamax - zetamin |
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| 271 | zwk1 = zetamin * zetamin |
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| 272 | zwk2 = zetamax * zetamax |
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| 273 | zx2 = 0.5 * ( zwk2 - zwk1 ) |
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| 274 | zwk1 = zwk1 * zetamin |
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| 275 | zwk2 = zwk2 * zetamax |
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| 276 | zx3 = 1.0 / 3.0 * ( zwk2 - zwk1 ) |
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| 277 | jcat = jdonor(ji,jl) |
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| 278 | zdaice(ji,jl) = g1(ji,jcat)*zx2 + g0(ji,jcat)*zx1 |
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| 279 | zdvice(ji,jl) = g1(ji,jcat)*zx3 + g0(ji,jcat)*zx2 + zdaice(ji,jl)*hL(ji,jcat) |
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| 280 | |
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| 281 | END DO |
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| 282 | END DO |
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| 283 | |
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| 284 | !---------------------------------------------------------------------------------------------- |
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| 285 | ! 6) Shift ice between categories |
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| 286 | !---------------------------------------------------------------------------------------------- |
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| 287 | CALL ice_itd_shiftice ( jdonor(1:nidx,:), zdaice(1:nidx,:), zdvice(1:nidx,:) ) |
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| 288 | |
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| 289 | !---------------------------------------------------------------------------------------------- |
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| 290 | ! 7) Make sure ht_i >= minimum ice thickness hi_min |
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| 291 | !---------------------------------------------------------------------------------------------- |
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| 292 | CALL tab_2d_1d( nidx, idxice(1:nidx), ht_i_1d (1:nidx), ht_i(:,:,1) ) |
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| 293 | CALL tab_2d_1d( nidx, idxice(1:nidx), a_i_1d (1:nidx), a_i(:,:,1) ) |
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| 294 | CALL tab_2d_1d( nidx, idxice(1:nidx), a_ip_1d (1:nidx), a_ip(:,:,1) ) |
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| 295 | |
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| 296 | DO ji = 1, nidx |
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| 297 | IF ( a_i_1d(ji) > epsi10 .AND. ht_i_1d(ji) < rn_himin ) THEN |
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| 298 | a_i_1d (ji) = a_i_1d(ji) * ht_i_1d(ji) / rn_himin |
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| 299 | ! MV MP 2016 |
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| 300 | IF ( nn_pnd_scheme > 0 ) THEN |
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| 301 | a_ip_1d(ji) = a_ip_1d(ji) * ht_i_1d(ji) / rn_himin |
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| 302 | ENDIF |
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| 303 | ! END MV MP 2016 |
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| 304 | ht_i_1d(ji) = rn_himin |
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| 305 | ENDIF |
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| 306 | END DO |
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| 307 | |
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| 308 | CALL tab_1d_2d( nidx, idxice(1:nidx), ht_i_1d (1:nidx), ht_i(:,:,1) ) |
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| 309 | CALL tab_1d_2d( nidx, idxice(1:nidx), a_i_1d (1:nidx), a_i(:,:,1) ) |
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| 310 | CALL tab_1d_2d( nidx, idxice(1:nidx), a_ip_1d (1:nidx), a_ip(:,:,1) ) |
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| 311 | |
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| 312 | ENDIF |
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| 313 | |
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| 314 | IF( ln_limdiachk ) CALL ice_cons_hsm(1, 'iceitd_rem', zvi_b, zsmv_b, zei_b, zfw_b, zfs_b, zft_b) |
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| 315 | |
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| 316 | END SUBROUTINE ice_itd_rem |
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| 317 | |
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| 318 | |
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| 319 | SUBROUTINE ice_itd_glinear( HbL, Hbr, phice, paice, pg0, pg1, phL, phR ) |
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| 320 | !!------------------------------------------------------------------ |
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| 321 | !! *** ROUTINE ice_itd_glinear *** |
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| 322 | !! |
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| 323 | !! ** Purpose : build g(h) satisfying area and volume constraints (Eq. 6 and 9) |
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| 324 | !! |
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| 325 | !! ** Method : g(h) is linear and written as: g(eta) = g1(eta) + g0 |
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| 326 | !! with eta = h - HL |
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| 327 | !! |
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| 328 | !!------------------------------------------------------------------ |
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| 329 | REAL(wp), DIMENSION(:), INTENT(in ) :: HbL, HbR ! left and right category boundaries |
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| 330 | REAL(wp), DIMENSION(:), INTENT(in ) :: phice, paice ! ice thickness and concentration |
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| 331 | REAL(wp), DIMENSION(:), INTENT(inout) :: pg0, pg1 ! coefficients in linear equation for g(eta) |
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| 332 | REAL(wp), DIMENSION(:), INTENT(inout) :: phL, phR ! min and max value of range over which g(h) > 0 |
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| 333 | ! |
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| 334 | INTEGER :: ji ! horizontal indices |
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| 335 | REAL(wp) :: zh13 ! HbL + 1/3 * (HbR - HbL) |
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| 336 | REAL(wp) :: zh23 ! HbL + 2/3 * (HbR - HbL) |
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| 337 | REAL(wp) :: zdhr ! 1 / (hR - hL) |
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| 338 | REAL(wp) :: zwk1, zwk2 ! temporary variables |
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| 339 | !!------------------------------------------------------------------ |
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| 340 | ! |
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| 341 | DO ji = 1, nidx |
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| 342 | ! |
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| 343 | IF( paice(ji) > epsi10 .AND. phice(ji) > 0._wp ) THEN |
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| 344 | |
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| 345 | ! Initialize hL and hR |
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| 346 | phL(ji) = HbL(ji) |
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| 347 | phR(ji) = HbR(ji) |
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| 348 | |
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| 349 | ! Change hL or hR if hice falls outside central third of range, |
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| 350 | ! so that hice is in the central third of the range [HL HR] |
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| 351 | zh13 = 1.0 / 3.0 * ( 2.0 * phL(ji) + phR(ji) ) |
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| 352 | zh23 = 1.0 / 3.0 * ( phL(ji) + 2.0 * phR(ji) ) |
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| 353 | |
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| 354 | IF ( phice(ji) < zh13 ) THEN ; phR(ji) = 3._wp * phice(ji) - 2._wp * phL(ji) ! move HR to the left |
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| 355 | ELSEIF( phice(ji) > zh23 ) THEN ; phL(ji) = 3._wp * phice(ji) - 2._wp * phR(ji) ! move HL to the right |
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| 356 | ENDIF |
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| 357 | |
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| 358 | ! Compute coefficients of g(eta) = g0 + g1*eta |
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| 359 | zdhr = 1._wp / (phR(ji) - phL(ji)) |
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| 360 | zwk1 = 6._wp * paice(ji) * zdhr |
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| 361 | zwk2 = ( phice(ji) - phL(ji) ) * zdhr |
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| 362 | pg0(ji) = zwk1 * ( 2._wp / 3._wp - zwk2 ) ! Eq. 14 |
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| 363 | pg1(ji) = 2._wp * zdhr * zwk1 * ( zwk2 - 0.5 ) ! Eq. 14 |
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| 364 | ! |
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| 365 | ELSE ! remap_flag = .false. or a_i < epsi10 |
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| 366 | phL(ji) = 0._wp |
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| 367 | phR(ji) = 0._wp |
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| 368 | pg0(ji) = 0._wp |
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| 369 | pg1(ji) = 0._wp |
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| 370 | ENDIF |
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| 371 | ! |
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| 372 | END DO |
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| 373 | ! |
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| 374 | END SUBROUTINE ice_itd_glinear |
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| 375 | |
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| 376 | |
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| 377 | SUBROUTINE ice_itd_shiftice( kdonor, pdaice, pdvice ) |
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| 378 | !!------------------------------------------------------------------ |
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| 379 | !! *** ROUTINE ice_itd_shiftice *** |
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| 380 | !! |
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| 381 | !! ** Purpose : shift ice across category boundaries, conserving everything |
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| 382 | !! ( area, volume, energy, age*vol, and mass of salt ) |
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| 383 | !! |
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| 384 | !! ** Method : |
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| 385 | !!------------------------------------------------------------------ |
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| 386 | INTEGER , DIMENSION(:,:), INTENT(in) :: kdonor ! donor category index |
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| 387 | REAL(wp), DIMENSION(:,:), INTENT(in) :: pdaice ! ice area transferred across boundary |
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| 388 | REAL(wp), DIMENSION(:,:), INTENT(in) :: pdvice ! ice volume transferred across boundary |
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| 389 | |
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| 390 | INTEGER :: ii,ij, ji, jj, jl, jl2, jl1, jk ! dummy loop indices |
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| 391 | |
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| 392 | REAL(wp), DIMENSION(jpij,jpl) :: zaTsfn |
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| 393 | REAL(wp), DIMENSION(jpij) :: zworka ! temporary array used here |
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| 394 | REAL(wp), DIMENSION(jpij) :: zworkv ! temporary array used here |
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| 395 | |
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| 396 | REAL(wp) :: ztrans ! ice/snow transferred |
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| 397 | !!------------------------------------------------------------------ |
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| 398 | |
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| 399 | CALL tab_3d_2d( nidx, idxice(1:nidx), ht_i_2d (1:nidx,1:jpl), ht_i ) |
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| 400 | CALL tab_3d_2d( nidx, idxice(1:nidx), a_i_2d (1:nidx,1:jpl), a_i ) |
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| 401 | CALL tab_3d_2d( nidx, idxice(1:nidx), v_i_2d (1:nidx,1:jpl), v_i ) |
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| 402 | CALL tab_3d_2d( nidx, idxice(1:nidx), v_s_2d (1:nidx,1:jpl), v_s ) |
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| 403 | CALL tab_3d_2d( nidx, idxice(1:nidx), oa_i_2d (1:nidx,1:jpl), oa_i ) |
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| 404 | CALL tab_3d_2d( nidx, idxice(1:nidx), smv_i_2d(1:nidx,1:jpl), smv_i ) |
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| 405 | CALL tab_3d_2d( nidx, idxice(1:nidx), a_ip_2d (1:nidx,1:jpl), a_ip ) |
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| 406 | CALL tab_3d_2d( nidx, idxice(1:nidx), v_ip_2d (1:nidx,1:jpl), v_ip ) |
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| 407 | CALL tab_3d_2d( nidx, idxice(1:nidx), t_su_2d (1:nidx,1:jpl), t_su ) |
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| 408 | |
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| 409 | !---------------------------------------------------------------------------------------------- |
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| 410 | ! 1) Define a variable equal to a_i*T_su |
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| 411 | !---------------------------------------------------------------------------------------------- |
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| 412 | DO jl = 1, jpl |
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| 413 | DO ji = 1, nidx |
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| 414 | zaTsfn(ji,jl) = a_i_2d(ji,jl) * t_su_2d(ji,jl) |
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| 415 | END DO |
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| 416 | END DO |
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| 417 | |
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| 418 | !------------------------------------------------------------------------------- |
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| 419 | ! 2) Transfer volume and energy between categories |
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| 420 | !------------------------------------------------------------------------------- |
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| 421 | DO jl = 1, jpl - 1 |
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| 422 | DO ji = 1, nidx |
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| 423 | |
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| 424 | jl1 = kdonor(ji,jl) |
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| 425 | IF ( jl1 == jl ) THEN ; jl2 = jl1+1 |
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| 426 | ELSE ; jl2 = jl |
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| 427 | ENDIF |
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| 428 | |
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| 429 | rswitch = MAX( 0._wp , SIGN( 1._wp , v_i_2d(ji,jl1) - epsi10 ) ) |
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| 430 | zworkv(ji) = pdvice(ji,jl) / MAX( v_i_2d(ji,jl1), epsi10 ) * rswitch |
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| 431 | |
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| 432 | rswitch = MAX( 0._wp , SIGN( 1._wp , a_i_2d(ji,jl1) - epsi10 ) ) |
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| 433 | zworka(ji) = pdaice(ji,jl) / MAX( a_i_2d(ji,jl1), epsi10 ) * rswitch |
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| 434 | |
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| 435 | ! Ice areas |
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| 436 | a_i_2d(ji,jl1) = a_i_2d(ji,jl1) - pdaice(ji,jl) |
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| 437 | a_i_2d(ji,jl2) = a_i_2d(ji,jl2) + pdaice(ji,jl) |
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| 438 | |
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| 439 | ! Ice volumes |
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| 440 | v_i_2d(ji,jl1) = v_i_2d(ji,jl1) - pdvice(ji,jl) |
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| 441 | v_i_2d(ji,jl2) = v_i_2d(ji,jl2) + pdvice(ji,jl) |
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| 442 | |
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| 443 | ! Snow volumes |
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| 444 | ztrans = v_s_2d(ji,jl1) * zworkv(ji) |
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| 445 | v_s_2d(ji,jl1) = v_s_2d(ji,jl1) - ztrans |
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| 446 | v_s_2d(ji,jl2) = v_s_2d(ji,jl2) + ztrans |
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| 447 | |
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| 448 | ! Ice age |
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| 449 | ztrans = oa_i_2d(ji,jl1) * pdaice(ji,jl) !!clem: should be * zworka(ji) but it does not work |
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| 450 | oa_i_2d(ji,jl1) = oa_i_2d(ji,jl1) - ztrans |
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| 451 | oa_i_2d(ji,jl2) = oa_i_2d(ji,jl2) + ztrans |
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| 452 | |
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| 453 | ! Ice salinity |
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| 454 | ztrans = smv_i_2d(ji,jl1) * zworkv(ji) |
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| 455 | smv_i_2d(ji,jl1) = smv_i_2d(ji,jl1) - ztrans |
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| 456 | smv_i_2d(ji,jl2) = smv_i_2d(ji,jl2) + ztrans |
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| 457 | |
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| 458 | ! Surface temperature |
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| 459 | ztrans = t_su_2d(ji,jl1) * pdaice(ji,jl) !!clem: should be * zworka(ji) but it does not work |
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| 460 | zaTsfn(ji,jl1) = zaTsfn(ji,jl1) - ztrans |
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| 461 | zaTsfn(ji,jl2) = zaTsfn(ji,jl2) + ztrans |
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| 462 | |
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| 463 | ! MV MP 2016 |
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| 464 | IF ( nn_pnd_scheme > 0 ) THEN |
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| 465 | ! Pond fraction |
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| 466 | ztrans = a_ip_2d(ji,jl1) * pdaice(ji,jl) !!clem: should be * zworka(ji) but it does not work |
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| 467 | a_ip_2d(ji,jl1) = a_ip_2d(ji,jl1) - ztrans |
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| 468 | a_ip_2d(ji,jl2) = a_ip_2d(ji,jl2) + ztrans |
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| 469 | |
---|
| 470 | ! Pond volume (also proportional to da/a) |
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| 471 | ztrans = v_ip_2d(ji,jl1) * pdaice(ji,jl) !!clem: should be * zworka(ji) but it does not work |
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| 472 | v_ip_2d(ji,jl1) = v_ip_2d(ji,jl1) - ztrans |
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| 473 | v_ip_2d(ji,jl2) = v_ip_2d(ji,jl2) + ztrans |
---|
| 474 | ENDIF |
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| 475 | ! END MV MP 2016 |
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| 476 | |
---|
| 477 | END DO |
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| 478 | |
---|
| 479 | ! Snow heat content |
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| 480 | DO jk = 1, nlay_s |
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| 481 | |
---|
| 482 | DO ji = 1, nidx |
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| 483 | ii = MOD( idxice(ji) - 1, jpi ) + 1 |
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| 484 | ij = ( idxice(ji) - 1 ) / jpi + 1 |
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| 485 | |
---|
| 486 | jl1 = kdonor(ji,jl) |
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| 487 | IF(jl1 == jl) THEN ; jl2 = jl+1 |
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| 488 | ELSE ; jl2 = jl |
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| 489 | ENDIF |
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| 490 | |
---|
| 491 | ztrans = e_s(ii,ij,jk,jl1) * zworkv(ji) |
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| 492 | e_s(ii,ij,jk,jl1) = e_s(ii,ij,jk,jl1) - ztrans |
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| 493 | e_s(ii,ij,jk,jl2) = e_s(ii,ij,jk,jl2) + ztrans |
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| 494 | END DO |
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| 495 | END DO |
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| 496 | |
---|
| 497 | |
---|
| 498 | ! Ice heat content |
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| 499 | DO jk = 1, nlay_i |
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| 500 | DO ji = 1, nidx |
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| 501 | ii = MOD( idxice(ji) - 1, jpi ) + 1 |
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| 502 | ij = ( idxice(ji) - 1 ) / jpi + 1 |
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| 503 | |
---|
| 504 | jl1 = kdonor(ji,jl) |
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| 505 | IF(jl1 == jl) THEN ; jl2 = jl+1 |
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| 506 | ELSE ; jl2 = jl |
---|
| 507 | ENDIF |
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| 508 | |
---|
| 509 | ztrans = e_i(ii,ij,jk,jl1) * zworkv(ji) |
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| 510 | e_i(ii,ij,jk,jl1) = e_i(ii,ij,jk,jl1) - ztrans |
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| 511 | e_i(ii,ij,jk,jl2) = e_i(ii,ij,jk,jl2) + ztrans |
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| 512 | END DO |
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| 513 | END DO |
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| 514 | |
---|
| 515 | END DO ! boundaries, 1 to jpl-1 |
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| 516 | |
---|
| 517 | !------------------------------------------------------------------------------- |
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| 518 | ! 3) Update ice thickness and temperature |
---|
| 519 | !------------------------------------------------------------------------------- |
---|
| 520 | DO jl = 1, jpl |
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| 521 | DO ji = 1, nidx |
---|
| 522 | IF ( a_i_2d(ji,jl) > epsi10 ) THEN |
---|
| 523 | ht_i_2d(ji,jl) = v_i_2d (ji,jl) / a_i_2d(ji,jl) |
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| 524 | t_su_2d(ji,jl) = zaTsfn(ji,jl) / a_i_2d(ji,jl) |
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| 525 | ELSE |
---|
| 526 | ht_i_2d(ji,jl) = 0._wp |
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| 527 | t_su_2d(ji,jl) = rt0 |
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| 528 | ENDIF |
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| 529 | END DO |
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| 530 | END DO |
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| 531 | |
---|
| 532 | CALL tab_2d_3d( nidx, idxice(1:nidx), ht_i_2d (1:nidx,1:jpl), ht_i ) |
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| 533 | CALL tab_2d_3d( nidx, idxice(1:nidx), a_i_2d (1:nidx,1:jpl), a_i ) |
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| 534 | CALL tab_2d_3d( nidx, idxice(1:nidx), v_i_2d (1:nidx,1:jpl), v_i ) |
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| 535 | CALL tab_2d_3d( nidx, idxice(1:nidx), v_s_2d (1:nidx,1:jpl), v_s ) |
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| 536 | CALL tab_2d_3d( nidx, idxice(1:nidx), oa_i_2d (1:nidx,1:jpl), oa_i ) |
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| 537 | CALL tab_2d_3d( nidx, idxice(1:nidx), smv_i_2d(1:nidx,1:jpl), smv_i ) |
---|
| 538 | CALL tab_2d_3d( nidx, idxice(1:nidx), a_ip_2d (1:nidx,1:jpl), a_ip ) |
---|
| 539 | CALL tab_2d_3d( nidx, idxice(1:nidx), v_ip_2d (1:nidx,1:jpl), v_ip ) |
---|
| 540 | CALL tab_2d_3d( nidx, idxice(1:nidx), t_su_2d (1:nidx,1:jpl), t_su ) |
---|
| 541 | |
---|
| 542 | ! |
---|
| 543 | END SUBROUTINE ice_itd_shiftice |
---|
| 544 | |
---|
| 545 | |
---|
| 546 | SUBROUTINE ice_itd_reb |
---|
| 547 | !!------------------------------------------------------------------ |
---|
| 548 | !! *** ROUTINE ice_itd_reb *** |
---|
| 549 | !! |
---|
| 550 | !! ** Purpose : rebin - rebins thicknesses into defined categories |
---|
| 551 | !! |
---|
| 552 | !! ** Method : If a category thickness is out of bounds, shift part (for down to top) |
---|
| 553 | !! or entire (for top to down) area, volume, and energy |
---|
| 554 | !! to the neighboring category |
---|
| 555 | !!------------------------------------------------------------------ |
---|
| 556 | INTEGER :: ji, jj, jl ! dummy loop indices |
---|
| 557 | ! |
---|
| 558 | INTEGER , DIMENSION(jpij,jpl-1) :: jdonor ! donor category index |
---|
| 559 | REAL(wp), DIMENSION(jpij,jpl-1) :: zdaice, zdvice ! ice area and volume transferred |
---|
| 560 | !!------------------------------------------------------------------ |
---|
| 561 | |
---|
| 562 | DO jl = 1, jpl-1 |
---|
| 563 | jdonor(:,jl) = 0 |
---|
| 564 | zdaice(:,jl) = 0._wp |
---|
| 565 | zdvice(:,jl) = 0._wp |
---|
| 566 | END DO |
---|
| 567 | |
---|
| 568 | !--------------------------------------- |
---|
| 569 | ! identify thicknesses that are too big |
---|
| 570 | !--------------------------------------- |
---|
| 571 | DO jl = 1, jpl - 1 |
---|
| 572 | |
---|
| 573 | nidx = 0 ; idxice(:) = 0 |
---|
| 574 | DO jj = 1, jpj |
---|
| 575 | DO ji = 1, jpi |
---|
| 576 | IF( a_i(ji,jj,jl) > epsi10 .AND. v_i(ji,jj,jl) > (a_i(ji,jj,jl) * hi_max(jl)) ) THEN |
---|
| 577 | nidx = nidx + 1 |
---|
| 578 | idxice( nidx ) = (jj - 1) * jpi + ji |
---|
| 579 | ENDIF |
---|
| 580 | ENDDO |
---|
| 581 | ENDDO |
---|
| 582 | |
---|
| 583 | !!clem CALL tab_2d_1d( nidx, idxice(1:nidx), ht_i_1d (1:nidx), ht_i(:,:,jl) ) |
---|
| 584 | CALL tab_2d_1d( nidx, idxice(1:nidx), a_i_1d (1:nidx), a_i(:,:,jl) ) |
---|
| 585 | CALL tab_2d_1d( nidx, idxice(1:nidx), v_i_1d (1:nidx), v_i(:,:,jl) ) |
---|
| 586 | |
---|
| 587 | DO ji = 1, nidx |
---|
| 588 | jdonor(ji,jl) = jl |
---|
| 589 | ! how much of a_i you send in cat sup is somewhat arbitrary |
---|
| 590 | !!clem: these do not work properly after a restart (I do not know why) |
---|
| 591 | !! zdaice(ji,jl) = a_i_1d(ji) * ( ht_i_1d(ji) - hi_max(jl) + epsi10 ) / ht_i_1d(ji) |
---|
| 592 | !! zdvice(ji,jl) = v_i_1d(ji) - ( a_i_1d(ji) - zdaice(ji,jl) ) * ( hi_max(jl) - epsi10 ) |
---|
| 593 | !!clem: these do not work properly after a restart (I do not know why) |
---|
| 594 | !! zdaice(ji,jl) = a_i_1d(ji) |
---|
| 595 | !! zdvice(ji,jl) = v_i_1d(ji) |
---|
| 596 | !!clem: these are from UCL and work ok |
---|
| 597 | zdaice(ji,jl) = a_i_1d(ji) * 0.5_wp |
---|
| 598 | zdvice(ji,jl) = v_i_1d(ji) - zdaice(ji,jl) * ( hi_max(jl) + hi_max(jl-1) ) * 0.5_wp |
---|
| 599 | |
---|
| 600 | END DO |
---|
| 601 | |
---|
| 602 | IF( nidx > 0 ) THEN |
---|
| 603 | CALL ice_itd_shiftice( jdonor(1:nidx,:), zdaice(1:nidx,:), zdvice(1:nidx,:) ) ! Shift jl=>jl+1 |
---|
| 604 | ! Reset shift parameters |
---|
| 605 | jdonor(1:nidx,jl) = 0 |
---|
| 606 | zdaice(1:nidx,jl) = 0._wp |
---|
| 607 | zdvice(1:nidx,jl) = 0._wp |
---|
| 608 | ENDIF |
---|
| 609 | ! |
---|
| 610 | END DO |
---|
| 611 | |
---|
| 612 | !----------------------------------------- |
---|
| 613 | ! Identify thicknesses that are too small |
---|
| 614 | !----------------------------------------- |
---|
| 615 | DO jl = jpl - 1, 1, -1 |
---|
| 616 | |
---|
| 617 | nidx = 0 ; idxice(:) = 0 |
---|
| 618 | DO jj = 1, jpj |
---|
| 619 | DO ji = 1, jpi |
---|
| 620 | IF( a_i(ji,jj,jl+1) > epsi10 .AND. v_i(ji,jj,jl+1) <= (a_i(ji,jj,jl+1) * hi_max(jl)) ) THEN |
---|
| 621 | nidx = nidx + 1 |
---|
| 622 | idxice( nidx ) = (jj - 1) * jpi + ji |
---|
| 623 | ENDIF |
---|
| 624 | ENDDO |
---|
| 625 | ENDDO |
---|
| 626 | |
---|
| 627 | CALL tab_2d_1d( nidx, idxice(1:nidx), a_i_1d (1:nidx), a_i(:,:,jl+1) ) ! jl+1 is ok |
---|
| 628 | CALL tab_2d_1d( nidx, idxice(1:nidx), v_i_1d (1:nidx), v_i(:,:,jl+1) ) ! jl+1 is ok |
---|
| 629 | DO ji = 1, nidx |
---|
| 630 | jdonor(ji,jl) = jl + 1 |
---|
| 631 | zdaice(ji,jl) = a_i_1d(ji) |
---|
| 632 | zdvice(ji,jl) = v_i_1d(ji) |
---|
| 633 | END DO |
---|
| 634 | |
---|
| 635 | IF( nidx > 0 ) THEN |
---|
| 636 | CALL ice_itd_shiftice( jdonor(1:nidx,:), zdaice(1:nidx,:), zdvice(1:nidx,:) ) ! Shift jl+1=>jl |
---|
| 637 | ! Reset shift parameters |
---|
| 638 | jdonor(1:nidx,jl) = 0 |
---|
| 639 | zdaice(1:nidx,jl) = 0._wp |
---|
| 640 | zdvice(1:nidx,jl) = 0._wp |
---|
| 641 | ENDIF |
---|
| 642 | |
---|
| 643 | END DO |
---|
| 644 | ! |
---|
| 645 | END SUBROUTINE ice_itd_reb |
---|
| 646 | |
---|
| 647 | #endif |
---|
| 648 | !!====================================================================== |
---|
| 649 | END MODULE iceitd |
---|