| 1 | MODULE iceitd |
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| 2 | !!====================================================================== |
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| 3 | !! *** MODULE iceitd *** |
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| 4 | !! sea-ice : ice thickness distribution |
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| 5 | !!====================================================================== |
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| 6 | !! History : 3.0 ! 2005-12 (M. Vancoppenolle) original code (based on CICE) |
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| 7 | !! 4.0 ! 2018 (many people) SI3 [aka Sea Ice cube] |
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| 8 | !!---------------------------------------------------------------------- |
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| 9 | #if defined key_si3 |
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| 10 | !!---------------------------------------------------------------------- |
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| 11 | !! 'key_si3' SI3 sea-ice model |
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| 12 | !!---------------------------------------------------------------------- |
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| 13 | !! ice_itd_rem : redistribute ice thicknesses after thermo growth and melt |
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| 14 | !! itd_glinear : build g(h) satisfying area and volume constraints |
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| 15 | !! itd_shiftice : shift ice across category boundaries, conserving everything |
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| 16 | !! ice_itd_reb : rebin ice thicknesses into bounded categories |
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| 17 | !! ice_itd_init : read ice thicknesses mean and min from namelist |
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| 18 | !!---------------------------------------------------------------------- |
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| 19 | USE dom_oce ! ocean domain |
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| 20 | USE phycst ! physical constants |
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| 21 | USE ice1D ! sea-ice: thermodynamic variables |
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| 22 | USE ice ! sea-ice: variables |
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| 23 | USE icevar ! sea-ice: operations |
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| 24 | USE icectl ! sea-ice: conservation tests |
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| 25 | USE icetab ! sea-ice: convert 1D<=>2D |
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| 26 | ! |
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| 27 | USE in_out_manager ! I/O manager |
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| 28 | USE lib_mpp ! MPP library |
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| 29 | USE lib_fortran ! fortran utilities (glob_sum + no signed zero) |
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| 30 | USE prtctl ! Print control |
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| 31 | USE timing ! Timing |
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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_init ! called in icestp |
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| 37 | PUBLIC ice_itd_rem ! called in icethd |
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| 38 | PUBLIC ice_itd_reb ! called in icecor |
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| 39 | |
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| 40 | INTEGER :: nice_catbnd ! choice of the type of ice category function |
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| 41 | ! ! associated indices: |
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| 42 | INTEGER, PARAMETER :: np_cathfn = 1 ! categories defined by a function |
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| 43 | INTEGER, PARAMETER :: np_catusr = 2 ! categories defined by the user |
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| 44 | ! |
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| 45 | ! !! ** namelist (namitd) ** |
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| 46 | LOGICAL :: ln_cat_hfn ! ice categories are defined by function like rn_himean**(-0.05) |
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| 47 | REAL(wp) :: rn_himean ! mean thickness of the domain |
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| 48 | LOGICAL :: ln_cat_usr ! ice categories are defined by rn_catbnd |
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| 49 | REAL(wp), DIMENSION(0:100) :: rn_catbnd ! ice categories bounds |
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| 50 | REAL(wp) :: rn_himax ! maximum ice thickness allowed |
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| 51 | ! |
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| 52 | !! * Substitutions |
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| 53 | # include "do_loop_substitute.h90" |
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| 54 | !!---------------------------------------------------------------------- |
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| 55 | !! NEMO/ICE 4.0 , NEMO Consortium (2018) |
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| 56 | !! $Id$ |
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| 57 | !! Software governed by the CeCILL license (see ./LICENSE) |
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| 58 | !!---------------------------------------------------------------------- |
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| 59 | CONTAINS |
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| 60 | |
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| 61 | SUBROUTINE ice_itd_rem( kt ) |
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| 62 | !!------------------------------------------------------------------ |
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| 63 | !! *** ROUTINE ice_itd_rem *** |
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| 64 | !! |
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| 65 | !! ** Purpose : computes the redistribution of ice thickness |
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| 66 | !! after thermodynamic growth of ice thickness |
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| 67 | !! |
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| 68 | !! ** Method : Linear remapping |
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| 69 | !! |
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| 70 | !! References : W.H. Lipscomb, JGR 2001 |
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| 71 | !!------------------------------------------------------------------ |
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| 72 | INTEGER , INTENT (in) :: kt ! Ocean time step |
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| 73 | ! |
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| 74 | INTEGER :: ji, jj, jl, jcat ! dummy loop index |
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| 75 | INTEGER :: ipti ! local integer |
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| 76 | REAL(wp) :: zx1, zwk1, zdh0, zetamin, zdamax ! local scalars |
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| 77 | REAL(wp) :: zx2, zwk2, zda0, zetamax ! - - |
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| 78 | REAL(wp) :: zx3 |
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| 79 | REAL(wp) :: zslope ! used to compute local thermodynamic "speeds" |
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| 80 | ! |
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| 81 | INTEGER , DIMENSION(jpij) :: iptidx ! compute remapping or not |
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| 82 | INTEGER , DIMENSION(jpij,jpl-1) :: jdonor ! donor category index |
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| 83 | REAL(wp), DIMENSION(jpij,jpl) :: zdhice ! ice thickness increment |
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| 84 | REAL(wp), DIMENSION(jpij,jpl) :: g0, g1 ! coefficients for fitting the line of the ITD |
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| 85 | REAL(wp), DIMENSION(jpij,jpl) :: hL, hR ! left and right boundary for the ITD for each thickness |
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| 86 | REAL(wp), DIMENSION(jpij,jpl-1) :: zdaice, zdvice ! local increment of ice area and volume |
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| 87 | REAL(wp), DIMENSION(jpij) :: zhb0, zhb1 ! category boundaries for thinnes categories |
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| 88 | REAL(wp), DIMENSION(jpij,0:jpl) :: zhbnew ! new boundaries of ice categories |
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| 89 | !!------------------------------------------------------------------ |
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| 90 | IF( ln_timing ) CALL timing_start('iceitd_rem') |
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| 91 | |
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| 92 | IF( kt == nit000 .AND. lwp ) WRITE(numout,*) '-- ice_itd_rem: remapping ice thickness distribution' |
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| 93 | |
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| 94 | IF( ln_icediachk ) CALL ice_cons_hsm(0, 'iceitd_rem', rdiag_v, rdiag_s, rdiag_t, rdiag_fv, rdiag_fs, rdiag_ft) |
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| 95 | IF( ln_icediachk ) CALL ice_cons2D (0, 'iceitd_rem', diag_v, diag_s, diag_t, diag_fv, diag_fs, diag_ft) |
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| 96 | |
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| 97 | !----------------------------------------------------------------------------------------------- |
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| 98 | ! 1) Identify grid cells with ice |
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| 99 | !----------------------------------------------------------------------------------------------- |
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| 100 | at_i(:,:) = SUM( a_i, dim=3 ) |
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| 101 | ! |
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| 102 | npti = 0 ; nptidx(:) = 0 |
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| 103 | DO_2D( nn_hls, nn_hls, nn_hls, nn_hls ) |
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| 104 | IF ( at_i(ji,jj) > epsi10 ) THEN |
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| 105 | npti = npti + 1 |
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| 106 | nptidx( npti ) = (jj - 1) * jpi + ji |
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| 107 | ENDIF |
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| 108 | END_2D |
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| 109 | |
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| 110 | !----------------------------------------------------------------------------------------------- |
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| 111 | ! 2) Compute new category boundaries |
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| 112 | !----------------------------------------------------------------------------------------------- |
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| 113 | IF( npti > 0 ) THEN |
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| 114 | ! |
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| 115 | zdhice(:,:) = 0._wp |
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| 116 | zhbnew(:,:) = 0._wp |
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| 117 | ! |
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| 118 | CALL tab_3d_2d( npti, nptidx(1:npti), h_i_2d (1:npti,1:jpl), h_i ) |
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| 119 | CALL tab_3d_2d( npti, nptidx(1:npti), h_ib_2d(1:npti,1:jpl), h_i_b ) |
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| 120 | CALL tab_3d_2d( npti, nptidx(1:npti), a_i_2d (1:npti,1:jpl), a_i ) |
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| 121 | CALL tab_3d_2d( npti, nptidx(1:npti), a_ib_2d(1:npti,1:jpl), a_i_b ) |
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| 122 | ! |
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| 123 | DO jl = 1, jpl |
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| 124 | ! Compute thickness change in each ice category |
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| 125 | DO ji = 1, npti |
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| 126 | IF( a_i_2d(ji,jl) > epsi10 ) zdhice(ji,jl) = h_i_2d(ji,jl) - h_ib_2d(ji,jl) |
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| 127 | END DO |
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| 128 | END DO |
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| 129 | ! |
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| 130 | ! --- New boundaries for category 1:jpl-1 --- ! |
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| 131 | DO jl = 1, jpl - 1 |
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| 132 | ! |
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| 133 | DO ji = 1, npti |
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| 134 | ! |
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| 135 | ! --- New boundary: Hn* = Hn + Fn*dt --- ! |
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| 136 | ! Fn*dt = ( fn + (fn+1 - fn)/(hn+1 - hn) * (Hn - hn) ) * dt = zdhice + zslope * (Hmax - h_i_b) |
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| 137 | ! |
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| 138 | 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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| 139 | zslope = ( zdhice(ji,jl+1) - zdhice(ji,jl) ) / ( h_ib_2d(ji,jl+1) - h_ib_2d(ji,jl) ) |
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| 140 | zhbnew(ji,jl) = hi_max(jl) + zdhice(ji,jl) + zslope * ( hi_max(jl) - h_ib_2d(ji,jl) ) |
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| 141 | 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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| 142 | zhbnew(ji,jl) = hi_max(jl) + zdhice(ji,jl) |
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| 143 | 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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| 144 | zhbnew(ji,jl) = hi_max(jl) + zdhice(ji,jl+1) |
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| 145 | ELSE ! a(jl+1) & a(jl) = 0 |
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| 146 | zhbnew(ji,jl) = hi_max(jl) |
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| 147 | ENDIF |
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| 148 | ! |
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| 149 | ! --- 2 conditions for remapping --- ! |
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| 150 | ! 1) hn(t+1)+espi < Hn* < hn+1(t+1)-epsi |
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| 151 | ! 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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| 152 | ! in itd_glinear in the case (HR-HL) = 3(Hice - HL) or = 3(HR - Hice) |
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| 153 | # if defined key_single |
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| 154 | IF( a_i_2d(ji,jl ) > epsi10 .AND. h_i_2d(ji,jl ) > ( zhbnew(ji,jl) - epsi06 ) ) nptidx(ji) = 0 |
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| 155 | IF( a_i_2d(ji,jl+1) > epsi10 .AND. h_i_2d(ji,jl+1) < ( zhbnew(ji,jl) + epsi06 ) ) nptidx(ji) = 0 |
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| 156 | # else |
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| 157 | IF( a_i_2d(ji,jl ) > epsi10 .AND. h_i_2d(ji,jl ) > ( zhbnew(ji,jl) - epsi10 ) ) nptidx(ji) = 0 |
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| 158 | IF( a_i_2d(ji,jl+1) > epsi10 .AND. h_i_2d(ji,jl+1) < ( zhbnew(ji,jl) + epsi10 ) ) nptidx(ji) = 0 |
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| 159 | # endif |
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| 160 | ! |
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| 161 | ! 2) Hn-1 < Hn* < Hn+1 |
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| 162 | IF( zhbnew(ji,jl) < hi_max(jl-1) ) nptidx(ji) = 0 |
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| 163 | IF( zhbnew(ji,jl) > hi_max(jl+1) ) nptidx(ji) = 0 |
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| 164 | ! |
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| 165 | END DO |
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| 166 | END DO |
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| 167 | ! |
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| 168 | ! --- New boundaries for category jpl --- ! |
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| 169 | DO ji = 1, npti |
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| 170 | IF( a_i_2d(ji,jpl) > epsi10 ) THEN |
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| 171 | zhbnew(ji,jpl) = MAX( hi_max(jpl-1), 3._wp * h_i_2d(ji,jpl) - 2._wp * zhbnew(ji,jpl-1) ) |
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| 172 | ELSE |
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| 173 | zhbnew(ji,jpl) = hi_max(jpl) |
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| 174 | ENDIF |
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| 175 | ! |
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| 176 | ! --- 1 additional condition for remapping (1st category) --- ! |
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| 177 | ! H0+epsi < h1(t) < H1-epsi |
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| 178 | ! h1(t) must not be too close to either HR or HL otherwise a division by nearly 0 is possible |
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| 179 | ! in itd_glinear in the case (HR-HL) = 3(Hice - HL) or = 3(HR - Hice) |
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| 180 | # if defined key_single |
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| 181 | IF( h_ib_2d(ji,1) < ( hi_max(0) + epsi06 ) ) nptidx(ji) = 0 |
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| 182 | IF( h_ib_2d(ji,1) > ( hi_max(1) - epsi06 ) ) nptidx(ji) = 0 |
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| 183 | # else |
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| 184 | IF( h_ib_2d(ji,1) < ( hi_max(0) + epsi10 ) ) nptidx(ji) = 0 |
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| 185 | IF( h_ib_2d(ji,1) > ( hi_max(1) - epsi10 ) ) nptidx(ji) = 0 |
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| 186 | # endif |
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| 187 | END DO |
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| 188 | ! |
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| 189 | !----------------------------------------------------------------------------------------------- |
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| 190 | ! 3) Identify cells where remapping |
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| 191 | !----------------------------------------------------------------------------------------------- |
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| 192 | ipti = 0 ; iptidx(:) = 0 |
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| 193 | DO ji = 1, npti |
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| 194 | IF( nptidx(ji) /= 0 ) THEN |
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| 195 | ipti = ipti + 1 |
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| 196 | iptidx(ipti) = nptidx(ji) |
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| 197 | zhbnew(ipti,:) = zhbnew(ji,:) ! adjust zhbnew to new indices |
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| 198 | ENDIF |
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| 199 | END DO |
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| 200 | nptidx(:) = iptidx(:) |
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| 201 | npti = ipti |
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| 202 | ! |
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| 203 | ENDIF |
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| 204 | |
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| 205 | !----------------------------------------------------------------------------------------------- |
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| 206 | ! 4) Compute g(h) |
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| 207 | !----------------------------------------------------------------------------------------------- |
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| 208 | IF( npti > 0 ) THEN |
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| 209 | ! |
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| 210 | zhb0(:) = hi_max(0) ; zhb1(:) = hi_max(1) |
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| 211 | g0(:,:) = 0._wp ; g1(:,:) = 0._wp |
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| 212 | hL(:,:) = 0._wp ; hR(:,:) = 0._wp |
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| 213 | ! |
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| 214 | DO jl = 1, jpl |
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| 215 | ! |
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| 216 | CALL tab_2d_1d( npti, nptidx(1:npti), h_ib_1d(1:npti), h_i_b(:,:,jl) ) |
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| 217 | CALL tab_2d_1d( npti, nptidx(1:npti), h_i_1d (1:npti), h_i (:,:,jl) ) |
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| 218 | CALL tab_2d_1d( npti, nptidx(1:npti), a_i_1d (1:npti), a_i (:,:,jl) ) |
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| 219 | CALL tab_2d_1d( npti, nptidx(1:npti), v_i_1d (1:npti), v_i (:,:,jl) ) |
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| 220 | ! |
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| 221 | IF( jl == 1 ) THEN |
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| 222 | ! |
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| 223 | ! --- g(h) for category 1 --- ! |
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| 224 | CALL itd_glinear( zhb0(1:npti) , zhb1(1:npti) , h_ib_1d(1:npti) , a_i_1d(1:npti) , & ! in |
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| 225 | & g0 (1:npti,1), g1 (1:npti,1), hL (1:npti,1), hR (1:npti,1) ) ! out |
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| 226 | ! |
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| 227 | ! Area lost due to melting of thin ice |
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| 228 | DO ji = 1, npti |
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| 229 | ! |
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| 230 | IF( a_i_1d(ji) > epsi10 ) THEN |
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| 231 | ! |
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| 232 | zdh0 = h_i_1d(ji) - h_ib_1d(ji) |
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| 233 | IF( zdh0 < 0.0 ) THEN ! remove area from category 1 |
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| 234 | zdh0 = MIN( -zdh0, hi_max(1) ) |
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| 235 | !Integrate g(1) from 0 to dh0 to estimate area melted |
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| 236 | zetamax = MIN( zdh0, hR(ji,1) ) - hL(ji,1) |
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| 237 | ! |
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| 238 | IF( zetamax > 0.0 ) THEN |
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| 239 | zx1 = zetamax |
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| 240 | zx2 = 0.5 * zetamax * zetamax |
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| 241 | zda0 = g1(ji,1) * zx2 + g0(ji,1) * zx1 ! ice area removed |
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| 242 | zdamax = a_i_1d(ji) * (1.0 - h_i_1d(ji) / h_ib_1d(ji) ) ! Constrain new thickness <= h_i |
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| 243 | zda0 = MIN( zda0, zdamax ) ! ice area lost due to melting of thin ice (zdamax > 0) |
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| 244 | ! Remove area, conserving volume |
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| 245 | h_i_1d(ji) = h_i_1d(ji) * a_i_1d(ji) / ( a_i_1d(ji) - zda0 ) |
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| 246 | a_i_1d(ji) = a_i_1d(ji) - zda0 |
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| 247 | v_i_1d(ji) = a_i_1d(ji) * h_i_1d(ji) ! useless ? |
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| 248 | ENDIF |
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| 249 | ! |
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| 250 | ELSE ! if ice accretion zdh0 > 0 |
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| 251 | ! zhbnew was 0, and is shifted to the right to account for thin ice growth in openwater (F0 = f1) |
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| 252 | zhbnew(ji,0) = MIN( zdh0, hi_max(1) ) |
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| 253 | ENDIF |
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| 254 | ! |
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| 255 | ENDIF |
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| 256 | ! |
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| 257 | END DO |
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| 258 | ! |
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| 259 | CALL tab_1d_2d( npti, nptidx(1:npti), h_i_1d(1:npti), h_i(:,:,jl) ) |
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| 260 | CALL tab_1d_2d( npti, nptidx(1:npti), a_i_1d(1:npti), a_i(:,:,jl) ) |
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| 261 | CALL tab_1d_2d( npti, nptidx(1:npti), v_i_1d(1:npti), v_i(:,:,jl) ) |
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| 262 | ! |
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| 263 | ENDIF ! jl=1 |
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| 264 | ! |
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| 265 | ! --- g(h) for each thickness category --- ! |
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| 266 | CALL itd_glinear( zhbnew(1:npti,jl-1), zhbnew(1:npti,jl), h_i_1d(1:npti) , a_i_1d(1:npti) , & ! in |
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| 267 | & g0 (1:npti,jl ), g1 (1:npti,jl), hL (1:npti,jl), hR (1:npti,jl) ) ! out |
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| 268 | ! |
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| 269 | END DO |
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| 270 | |
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| 271 | !----------------------------------------------------------------------------------------------- |
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| 272 | ! 5) Compute area and volume to be shifted across each boundary (Eq. 18) |
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| 273 | !----------------------------------------------------------------------------------------------- |
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| 274 | DO jl = 1, jpl - 1 |
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| 275 | ! |
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| 276 | DO ji = 1, npti |
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| 277 | ! |
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| 278 | ! left and right integration limits in eta space |
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| 279 | IF (zhbnew(ji,jl) > hi_max(jl)) THEN ! Hn* > Hn => transfer from jl to jl+1 |
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| 280 | zetamin = MAX( hi_max(jl) , hL(ji,jl) ) - hL(ji,jl) ! hi_max(jl) - hL |
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| 281 | zetamax = MIN( zhbnew(ji,jl), hR(ji,jl) ) - hL(ji,jl) ! hR - hL |
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| 282 | jdonor(ji,jl) = jl |
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| 283 | ELSE ! Hn* <= Hn => transfer from jl+1 to jl |
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| 284 | zetamin = 0.0 |
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| 285 | zetamax = MIN( hi_max(jl), hR(ji,jl+1) ) - hL(ji,jl+1) ! hi_max(jl) - hL |
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| 286 | jdonor(ji,jl) = jl + 1 |
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| 287 | ENDIF |
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| 288 | zetamax = MAX( zetamax, zetamin ) ! no transfer if etamax < etamin |
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| 289 | ! |
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| 290 | zx1 = zetamax - zetamin |
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| 291 | zwk1 = zetamin * zetamin |
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| 292 | zwk2 = zetamax * zetamax |
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| 293 | zx2 = 0.5 * ( zwk2 - zwk1 ) |
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| 294 | zwk1 = zwk1 * zetamin |
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| 295 | zwk2 = zwk2 * zetamax |
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| 296 | zx3 = 1.0 / 3.0 * ( zwk2 - zwk1 ) |
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| 297 | jcat = jdonor(ji,jl) |
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| 298 | zdaice(ji,jl) = g1(ji,jcat)*zx2 + g0(ji,jcat)*zx1 |
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| 299 | zdvice(ji,jl) = g1(ji,jcat)*zx3 + g0(ji,jcat)*zx2 + zdaice(ji,jl)*hL(ji,jcat) |
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| 300 | ! |
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| 301 | END DO |
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| 302 | END DO |
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| 303 | |
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| 304 | !---------------------------------------------------------------------------------------------- |
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| 305 | ! 6) Shift ice between categories |
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| 306 | !---------------------------------------------------------------------------------------------- |
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| 307 | CALL itd_shiftice ( jdonor(1:npti,:), zdaice(1:npti,:), zdvice(1:npti,:) ) |
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| 308 | |
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| 309 | !---------------------------------------------------------------------------------------------- |
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| 310 | ! 7) Make sure h_i >= minimum ice thickness hi_min |
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| 311 | !---------------------------------------------------------------------------------------------- |
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| 312 | CALL tab_2d_1d( npti, nptidx(1:npti), h_i_1d (1:npti), h_i (:,:,1) ) |
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| 313 | CALL tab_2d_1d( npti, nptidx(1:npti), a_i_1d (1:npti), a_i (:,:,1) ) |
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| 314 | CALL tab_2d_1d( npti, nptidx(1:npti), a_ip_1d(1:npti), a_ip(:,:,1) ) |
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| 315 | ! |
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| 316 | DO ji = 1, npti |
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| 317 | IF ( a_i_1d(ji) > epsi10 .AND. h_i_1d(ji) < rn_himin ) THEN |
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| 318 | a_i_1d(ji) = a_i_1d(ji) * h_i_1d(ji) / rn_himin |
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| 319 | IF( ln_pnd_LEV .OR. ln_pnd_TOPO ) a_ip_1d(ji) = a_ip_1d(ji) * h_i_1d(ji) / rn_himin |
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| 320 | h_i_1d(ji) = rn_himin |
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| 321 | ENDIF |
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| 322 | END DO |
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| 323 | ! |
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| 324 | CALL tab_1d_2d( npti, nptidx(1:npti), h_i_1d (1:npti), h_i (:,:,1) ) |
|---|
| 325 | CALL tab_1d_2d( npti, nptidx(1:npti), a_i_1d (1:npti), a_i (:,:,1) ) |
|---|
| 326 | CALL tab_1d_2d( npti, nptidx(1:npti), a_ip_1d(1:npti), a_ip(:,:,1) ) |
|---|
| 327 | ! |
|---|
| 328 | ENDIF |
|---|
| 329 | ! |
|---|
| 330 | IF( ln_icediachk ) CALL ice_cons_hsm(1, 'iceitd_rem', rdiag_v, rdiag_s, rdiag_t, rdiag_fv, rdiag_fs, rdiag_ft) |
|---|
| 331 | IF( ln_icediachk ) CALL ice_cons2D (1, 'iceitd_rem', diag_v, diag_s, diag_t, diag_fv, diag_fs, diag_ft) |
|---|
| 332 | IF( ln_timing ) CALL timing_stop ('iceitd_rem') |
|---|
| 333 | ! |
|---|
| 334 | END SUBROUTINE ice_itd_rem |
|---|
| 335 | |
|---|
| 336 | |
|---|
| 337 | SUBROUTINE itd_glinear( HbL, Hbr, phice, paice, pg0, pg1, phL, phR ) |
|---|
| 338 | !!------------------------------------------------------------------ |
|---|
| 339 | !! *** ROUTINE itd_glinear *** |
|---|
| 340 | !! |
|---|
| 341 | !! ** Purpose : build g(h) satisfying area and volume constraints (Eq. 6 and 9) |
|---|
| 342 | !! |
|---|
| 343 | !! ** Method : g(h) is linear and written as: g(eta) = g1(eta) + g0 |
|---|
| 344 | !! with eta = h - HL |
|---|
| 345 | !!------------------------------------------------------------------ |
|---|
| 346 | REAL(wp), DIMENSION(:), INTENT(in ) :: HbL, HbR ! left and right category boundaries |
|---|
| 347 | REAL(wp), DIMENSION(:), INTENT(in ) :: phice, paice ! ice thickness and concentration |
|---|
| 348 | REAL(wp), DIMENSION(:), INTENT(inout) :: pg0, pg1 ! coefficients in linear equation for g(eta) |
|---|
| 349 | REAL(wp), DIMENSION(:), INTENT(inout) :: phL, phR ! min and max value of range over which g(h) > 0 |
|---|
| 350 | ! |
|---|
| 351 | INTEGER :: ji ! horizontal indices |
|---|
| 352 | REAL(wp) :: z1_3 , z2_3 ! 1/3 , 2/3 |
|---|
| 353 | REAL(wp) :: zh13 ! HbL + 1/3 * (HbR - HbL) |
|---|
| 354 | REAL(wp) :: zh23 ! HbL + 2/3 * (HbR - HbL) |
|---|
| 355 | REAL(wp) :: zdhr ! 1 / (hR - hL) |
|---|
| 356 | REAL(wp) :: zwk1, zwk2 ! temporary variables |
|---|
| 357 | !!------------------------------------------------------------------ |
|---|
| 358 | ! |
|---|
| 359 | z1_3 = 1._wp / 3._wp |
|---|
| 360 | z2_3 = 2._wp / 3._wp |
|---|
| 361 | ! |
|---|
| 362 | DO ji = 1, npti |
|---|
| 363 | ! |
|---|
| 364 | IF( paice(ji) > epsi10 .AND. phice(ji) > epsi10 ) THEN |
|---|
| 365 | ! |
|---|
| 366 | ! Initialize hL and hR |
|---|
| 367 | phL(ji) = HbL(ji) |
|---|
| 368 | phR(ji) = HbR(ji) |
|---|
| 369 | ! |
|---|
| 370 | ! Change hL or hR if hice falls outside central third of range, |
|---|
| 371 | ! so that hice is in the central third of the range [HL HR] |
|---|
| 372 | zh13 = z1_3 * ( 2._wp * phL(ji) + phR(ji) ) |
|---|
| 373 | zh23 = z1_3 * ( phL(ji) + 2._wp * phR(ji) ) |
|---|
| 374 | ! |
|---|
| 375 | IF ( phice(ji) < zh13 ) THEN ; phR(ji) = 3._wp * phice(ji) - 2._wp * phL(ji) ! move HR to the left |
|---|
| 376 | ELSEIF( phice(ji) > zh23 ) THEN ; phL(ji) = 3._wp * phice(ji) - 2._wp * phR(ji) ! move HL to the right |
|---|
| 377 | ENDIF |
|---|
| 378 | ! |
|---|
| 379 | ! Compute coefficients of g(eta) = g0 + g1*eta |
|---|
| 380 | IF( phR(ji) > phL(ji) ) THEN ; zdhr = 1._wp / (phR(ji) - phL(ji)) |
|---|
| 381 | ELSE ; zdhr = 0._wp ! if hR=hL=hice => no remapping |
|---|
| 382 | ENDIF |
|---|
| 383 | !!zdhr = 1._wp / (phR(ji) - phL(ji)) |
|---|
| 384 | zwk1 = 6._wp * paice(ji) * zdhr |
|---|
| 385 | zwk2 = ( phice(ji) - phL(ji) ) * zdhr |
|---|
| 386 | pg0(ji) = zwk1 * ( z2_3 - zwk2 ) ! Eq. 14 |
|---|
| 387 | pg1(ji) = 2._wp * zdhr * zwk1 * ( zwk2 - 0.5_wp ) ! Eq. 14 |
|---|
| 388 | ! |
|---|
| 389 | ELSE ! remap_flag = .false. or a_i < epsi10 |
|---|
| 390 | phL(ji) = 0._wp |
|---|
| 391 | phR(ji) = 0._wp |
|---|
| 392 | pg0(ji) = 0._wp |
|---|
| 393 | pg1(ji) = 0._wp |
|---|
| 394 | ENDIF |
|---|
| 395 | ! |
|---|
| 396 | END DO |
|---|
| 397 | ! |
|---|
| 398 | END SUBROUTINE itd_glinear |
|---|
| 399 | |
|---|
| 400 | |
|---|
| 401 | SUBROUTINE itd_shiftice( kdonor, pdaice, pdvice ) |
|---|
| 402 | !!------------------------------------------------------------------ |
|---|
| 403 | !! *** ROUTINE itd_shiftice *** |
|---|
| 404 | !! |
|---|
| 405 | !! ** Purpose : shift ice across category boundaries, conserving everything |
|---|
| 406 | !! ( area, volume, energy, age*vol, and mass of salt ) |
|---|
| 407 | !!------------------------------------------------------------------ |
|---|
| 408 | INTEGER , DIMENSION(:,:), INTENT(in) :: kdonor ! donor category index |
|---|
| 409 | REAL(wp), DIMENSION(:,:), INTENT(in) :: pdaice ! ice area transferred across boundary |
|---|
| 410 | REAL(wp), DIMENSION(:,:), INTENT(in) :: pdvice ! ice volume transferred across boundary |
|---|
| 411 | ! |
|---|
| 412 | INTEGER :: ji, jl, jk ! dummy loop indices |
|---|
| 413 | INTEGER :: jl2, jl1 ! local integers |
|---|
| 414 | REAL(wp) :: ztrans ! ice/snow transferred |
|---|
| 415 | REAL(wp), DIMENSION(jpij) :: zworka, zworkv ! workspace |
|---|
| 416 | REAL(wp), DIMENSION(jpij,jpl) :: zaTsfn ! - - |
|---|
| 417 | REAL(wp), DIMENSION(jpij,nlay_i,jpl) :: ze_i_2d |
|---|
| 418 | REAL(wp), DIMENSION(jpij,nlay_s,jpl) :: ze_s_2d |
|---|
| 419 | !!------------------------------------------------------------------ |
|---|
| 420 | |
|---|
| 421 | CALL tab_3d_2d( npti, nptidx(1:npti), h_i_2d (1:npti,1:jpl), h_i ) |
|---|
| 422 | CALL tab_3d_2d( npti, nptidx(1:npti), a_i_2d (1:npti,1:jpl), a_i ) |
|---|
| 423 | CALL tab_3d_2d( npti, nptidx(1:npti), v_i_2d (1:npti,1:jpl), v_i ) |
|---|
| 424 | CALL tab_3d_2d( npti, nptidx(1:npti), v_s_2d (1:npti,1:jpl), v_s ) |
|---|
| 425 | CALL tab_3d_2d( npti, nptidx(1:npti), oa_i_2d(1:npti,1:jpl), oa_i ) |
|---|
| 426 | CALL tab_3d_2d( npti, nptidx(1:npti), sv_i_2d(1:npti,1:jpl), sv_i ) |
|---|
| 427 | CALL tab_3d_2d( npti, nptidx(1:npti), a_ip_2d(1:npti,1:jpl), a_ip ) |
|---|
| 428 | CALL tab_3d_2d( npti, nptidx(1:npti), v_ip_2d(1:npti,1:jpl), v_ip ) |
|---|
| 429 | CALL tab_3d_2d( npti, nptidx(1:npti), v_il_2d(1:npti,1:jpl), v_il ) |
|---|
| 430 | CALL tab_3d_2d( npti, nptidx(1:npti), t_su_2d(1:npti,1:jpl), t_su ) |
|---|
| 431 | DO jl = 1, jpl |
|---|
| 432 | DO jk = 1, nlay_s |
|---|
| 433 | CALL tab_2d_1d( npti, nptidx(1:npti), ze_s_2d(1:npti,jk,jl), e_s(:,:,jk,jl) ) |
|---|
| 434 | END DO |
|---|
| 435 | DO jk = 1, nlay_i |
|---|
| 436 | CALL tab_2d_1d( npti, nptidx(1:npti), ze_i_2d(1:npti,jk,jl), e_i(:,:,jk,jl) ) |
|---|
| 437 | END DO |
|---|
| 438 | END DO |
|---|
| 439 | ! to correct roundoff errors on a_i |
|---|
| 440 | CALL tab_2d_1d( npti, nptidx(1:npti), rn_amax_1d(1:npti), rn_amax_2d ) |
|---|
| 441 | |
|---|
| 442 | !---------------------------------------------------------------------------------------------- |
|---|
| 443 | ! 1) Define a variable equal to a_i*T_su |
|---|
| 444 | !---------------------------------------------------------------------------------------------- |
|---|
| 445 | DO jl = 1, jpl |
|---|
| 446 | DO ji = 1, npti |
|---|
| 447 | zaTsfn(ji,jl) = a_i_2d(ji,jl) * t_su_2d(ji,jl) |
|---|
| 448 | END DO |
|---|
| 449 | END DO |
|---|
| 450 | |
|---|
| 451 | !------------------------------------------------------------------------------- |
|---|
| 452 | ! 2) Transfer volume and energy between categories |
|---|
| 453 | !------------------------------------------------------------------------------- |
|---|
| 454 | DO jl = 1, jpl - 1 |
|---|
| 455 | DO ji = 1, npti |
|---|
| 456 | ! |
|---|
| 457 | jl1 = kdonor(ji,jl) |
|---|
| 458 | ! |
|---|
| 459 | IF( jl1 > 0 ) THEN |
|---|
| 460 | ! |
|---|
| 461 | IF ( jl1 == jl ) THEN ; jl2 = jl1+1 |
|---|
| 462 | ELSE ; jl2 = jl |
|---|
| 463 | ENDIF |
|---|
| 464 | ! |
|---|
| 465 | IF( v_i_2d(ji,jl1) >= epsi10 ) THEN ; zworkv(ji) = pdvice(ji,jl) / v_i_2d(ji,jl1) |
|---|
| 466 | ELSE ; zworkv(ji) = 0._wp |
|---|
| 467 | ENDIF |
|---|
| 468 | IF( a_i_2d(ji,jl1) >= epsi10 ) THEN ; zworka(ji) = pdaice(ji,jl) / a_i_2d(ji,jl1) |
|---|
| 469 | ELSE ; zworka(ji) = 0._wp |
|---|
| 470 | ENDIF |
|---|
| 471 | ! |
|---|
| 472 | a_i_2d(ji,jl1) = a_i_2d(ji,jl1) - pdaice(ji,jl) ! Ice areas |
|---|
| 473 | a_i_2d(ji,jl2) = a_i_2d(ji,jl2) + pdaice(ji,jl) |
|---|
| 474 | ! |
|---|
| 475 | v_i_2d(ji,jl1) = v_i_2d(ji,jl1) - pdvice(ji,jl) ! Ice volumes |
|---|
| 476 | v_i_2d(ji,jl2) = v_i_2d(ji,jl2) + pdvice(ji,jl) |
|---|
| 477 | ! |
|---|
| 478 | ztrans = v_s_2d(ji,jl1) * zworkv(ji) ! Snow volumes |
|---|
| 479 | v_s_2d(ji,jl1) = v_s_2d(ji,jl1) - ztrans |
|---|
| 480 | v_s_2d(ji,jl2) = v_s_2d(ji,jl2) + ztrans |
|---|
| 481 | ! |
|---|
| 482 | ztrans = oa_i_2d(ji,jl1) * zworka(ji) ! Ice age |
|---|
| 483 | oa_i_2d(ji,jl1) = oa_i_2d(ji,jl1) - ztrans |
|---|
| 484 | oa_i_2d(ji,jl2) = oa_i_2d(ji,jl2) + ztrans |
|---|
| 485 | ! |
|---|
| 486 | ztrans = sv_i_2d(ji,jl1) * zworkv(ji) ! Ice salinity |
|---|
| 487 | sv_i_2d(ji,jl1) = sv_i_2d(ji,jl1) - ztrans |
|---|
| 488 | sv_i_2d(ji,jl2) = sv_i_2d(ji,jl2) + ztrans |
|---|
| 489 | ! |
|---|
| 490 | ztrans = zaTsfn(ji,jl1) * zworka(ji) ! Surface temperature |
|---|
| 491 | zaTsfn(ji,jl1) = zaTsfn(ji,jl1) - ztrans |
|---|
| 492 | zaTsfn(ji,jl2) = zaTsfn(ji,jl2) + ztrans |
|---|
| 493 | ! |
|---|
| 494 | IF ( ln_pnd_LEV .OR. ln_pnd_TOPO ) THEN |
|---|
| 495 | ztrans = a_ip_2d(ji,jl1) * zworka(ji) ! Pond fraction |
|---|
| 496 | a_ip_2d(ji,jl1) = a_ip_2d(ji,jl1) - ztrans |
|---|
| 497 | a_ip_2d(ji,jl2) = a_ip_2d(ji,jl2) + ztrans |
|---|
| 498 | ! |
|---|
| 499 | ztrans = v_ip_2d(ji,jl1) * zworkv(ji) ! Pond volume |
|---|
| 500 | v_ip_2d(ji,jl1) = v_ip_2d(ji,jl1) - ztrans |
|---|
| 501 | v_ip_2d(ji,jl2) = v_ip_2d(ji,jl2) + ztrans |
|---|
| 502 | ! |
|---|
| 503 | IF ( ln_pnd_lids ) THEN ! Pond lid volume |
|---|
| 504 | ztrans = v_il_2d(ji,jl1) * zworkv(ji) |
|---|
| 505 | v_il_2d(ji,jl1) = v_il_2d(ji,jl1) - ztrans |
|---|
| 506 | v_il_2d(ji,jl2) = v_il_2d(ji,jl2) + ztrans |
|---|
| 507 | ENDIF |
|---|
| 508 | ENDIF |
|---|
| 509 | ! |
|---|
| 510 | ENDIF ! jl1 >0 |
|---|
| 511 | END DO |
|---|
| 512 | ! |
|---|
| 513 | DO jk = 1, nlay_s !--- Snow heat content |
|---|
| 514 | DO ji = 1, npti |
|---|
| 515 | ! |
|---|
| 516 | jl1 = kdonor(ji,jl) |
|---|
| 517 | ! |
|---|
| 518 | IF( jl1 > 0 ) THEN |
|---|
| 519 | IF(jl1 == jl) THEN ; jl2 = jl+1 |
|---|
| 520 | ELSE ; jl2 = jl |
|---|
| 521 | ENDIF |
|---|
| 522 | ztrans = ze_s_2d(ji,jk,jl1) * zworkv(ji) |
|---|
| 523 | ze_s_2d(ji,jk,jl1) = ze_s_2d(ji,jk,jl1) - ztrans |
|---|
| 524 | ze_s_2d(ji,jk,jl2) = ze_s_2d(ji,jk,jl2) + ztrans |
|---|
| 525 | ENDIF |
|---|
| 526 | END DO |
|---|
| 527 | END DO |
|---|
| 528 | ! |
|---|
| 529 | DO jk = 1, nlay_i !--- Ice heat content |
|---|
| 530 | DO ji = 1, npti |
|---|
| 531 | ! |
|---|
| 532 | jl1 = kdonor(ji,jl) |
|---|
| 533 | ! |
|---|
| 534 | IF( jl1 > 0 ) THEN |
|---|
| 535 | IF(jl1 == jl) THEN ; jl2 = jl+1 |
|---|
| 536 | ELSE ; jl2 = jl |
|---|
| 537 | ENDIF |
|---|
| 538 | ztrans = ze_i_2d(ji,jk,jl1) * zworkv(ji) |
|---|
| 539 | ze_i_2d(ji,jk,jl1) = ze_i_2d(ji,jk,jl1) - ztrans |
|---|
| 540 | ze_i_2d(ji,jk,jl2) = ze_i_2d(ji,jk,jl2) + ztrans |
|---|
| 541 | ENDIF |
|---|
| 542 | END DO |
|---|
| 543 | END DO |
|---|
| 544 | ! |
|---|
| 545 | END DO ! boundaries, 1 to jpl-1 |
|---|
| 546 | |
|---|
| 547 | !------------------- |
|---|
| 548 | ! 3) roundoff errors |
|---|
| 549 | !------------------- |
|---|
| 550 | ! clem: The transfer between one category to another can lead to very small negative values (-1.e-20) |
|---|
| 551 | ! because of truncation error ( i.e. 1. - 1. /= 0 ) |
|---|
| 552 | CALL ice_var_roundoff( a_i_2d, v_i_2d, v_s_2d, sv_i_2d, oa_i_2d, a_ip_2d, v_ip_2d, v_il_2d, ze_s_2d, ze_i_2d ) |
|---|
| 553 | |
|---|
| 554 | ! at_i must be <= rn_amax |
|---|
| 555 | zworka(1:npti) = SUM( a_i_2d(1:npti,:), dim=2 ) |
|---|
| 556 | DO jl = 1, jpl |
|---|
| 557 | WHERE( zworka(1:npti) > rn_amax_1d(1:npti) ) & |
|---|
| 558 | & a_i_2d(1:npti,jl) = a_i_2d(1:npti,jl) * rn_amax_1d(1:npti) / zworka(1:npti) |
|---|
| 559 | END DO |
|---|
| 560 | |
|---|
| 561 | !------------------------------------------------------------------------------- |
|---|
| 562 | ! 4) Update ice thickness and temperature |
|---|
| 563 | !------------------------------------------------------------------------------- |
|---|
| 564 | # if defined key_single |
|---|
| 565 | WHERE( a_i_2d(1:npti,:) >= epsi06 ) |
|---|
| 566 | # else |
|---|
| 567 | WHERE( a_i_2d(1:npti,:) >= epsi20 ) |
|---|
| 568 | # endif |
|---|
| 569 | h_i_2d (1:npti,:) = v_i_2d(1:npti,:) / a_i_2d(1:npti,:) |
|---|
| 570 | t_su_2d(1:npti,:) = zaTsfn(1:npti,:) / a_i_2d(1:npti,:) |
|---|
| 571 | ELSEWHERE |
|---|
| 572 | h_i_2d (1:npti,:) = 0._wp |
|---|
| 573 | t_su_2d(1:npti,:) = rt0 |
|---|
| 574 | END WHERE |
|---|
| 575 | ! |
|---|
| 576 | CALL tab_2d_3d( npti, nptidx(1:npti), h_i_2d (1:npti,1:jpl), h_i ) |
|---|
| 577 | CALL tab_2d_3d( npti, nptidx(1:npti), a_i_2d (1:npti,1:jpl), a_i ) |
|---|
| 578 | CALL tab_2d_3d( npti, nptidx(1:npti), v_i_2d (1:npti,1:jpl), v_i ) |
|---|
| 579 | CALL tab_2d_3d( npti, nptidx(1:npti), v_s_2d (1:npti,1:jpl), v_s ) |
|---|
| 580 | CALL tab_2d_3d( npti, nptidx(1:npti), oa_i_2d(1:npti,1:jpl), oa_i ) |
|---|
| 581 | CALL tab_2d_3d( npti, nptidx(1:npti), sv_i_2d(1:npti,1:jpl), sv_i ) |
|---|
| 582 | CALL tab_2d_3d( npti, nptidx(1:npti), a_ip_2d(1:npti,1:jpl), a_ip ) |
|---|
| 583 | CALL tab_2d_3d( npti, nptidx(1:npti), v_ip_2d(1:npti,1:jpl), v_ip ) |
|---|
| 584 | CALL tab_2d_3d( npti, nptidx(1:npti), v_il_2d(1:npti,1:jpl), v_il ) |
|---|
| 585 | CALL tab_2d_3d( npti, nptidx(1:npti), t_su_2d(1:npti,1:jpl), t_su ) |
|---|
| 586 | DO jl = 1, jpl |
|---|
| 587 | DO jk = 1, nlay_s |
|---|
| 588 | CALL tab_1d_2d( npti, nptidx(1:npti), ze_s_2d(1:npti,jk,jl), e_s(:,:,jk,jl) ) |
|---|
| 589 | END DO |
|---|
| 590 | DO jk = 1, nlay_i |
|---|
| 591 | CALL tab_1d_2d( npti, nptidx(1:npti), ze_i_2d(1:npti,jk,jl), e_i(:,:,jk,jl) ) |
|---|
| 592 | END DO |
|---|
| 593 | END DO |
|---|
| 594 | ! |
|---|
| 595 | END SUBROUTINE itd_shiftice |
|---|
| 596 | |
|---|
| 597 | |
|---|
| 598 | SUBROUTINE ice_itd_reb( kt ) |
|---|
| 599 | !!------------------------------------------------------------------ |
|---|
| 600 | !! *** ROUTINE ice_itd_reb *** |
|---|
| 601 | !! |
|---|
| 602 | !! ** Purpose : rebin - rebins thicknesses into defined categories |
|---|
| 603 | !! |
|---|
| 604 | !! ** Method : If a category thickness is out of bounds, shift part (for down to top) |
|---|
| 605 | !! or entire (for top to down) area, volume, and energy |
|---|
| 606 | !! to the neighboring category |
|---|
| 607 | !!------------------------------------------------------------------ |
|---|
| 608 | INTEGER , INTENT (in) :: kt ! Ocean time step |
|---|
| 609 | INTEGER :: ji, jj, jl ! dummy loop indices |
|---|
| 610 | ! |
|---|
| 611 | INTEGER , DIMENSION(jpij,jpl-1) :: jdonor ! donor category index |
|---|
| 612 | REAL(wp), DIMENSION(jpij,jpl-1) :: zdaice, zdvice ! ice area and volume transferred |
|---|
| 613 | !!------------------------------------------------------------------ |
|---|
| 614 | IF( ln_timing ) CALL timing_start('iceitd_reb') |
|---|
| 615 | ! |
|---|
| 616 | IF( kt == nit000 .AND. lwp ) WRITE(numout,*) '-- ice_itd_reb: rebining ice thickness distribution' |
|---|
| 617 | ! |
|---|
| 618 | IF( ln_icediachk ) CALL ice_cons_hsm(0, 'iceitd_reb', rdiag_v, rdiag_s, rdiag_t, rdiag_fv, rdiag_fs, rdiag_ft) |
|---|
| 619 | IF( ln_icediachk ) CALL ice_cons2D (0, 'iceitd_reb', diag_v, diag_s, diag_t, diag_fv, diag_fs, diag_ft) |
|---|
| 620 | ! |
|---|
| 621 | jdonor(:,:) = 0 |
|---|
| 622 | zdaice(:,:) = 0._wp |
|---|
| 623 | zdvice(:,:) = 0._wp |
|---|
| 624 | ! |
|---|
| 625 | ! !--------------------------------------- |
|---|
| 626 | DO jl = 1, jpl-1 ! identify thicknesses that are too big |
|---|
| 627 | ! !--------------------------------------- |
|---|
| 628 | npti = 0 ; nptidx(:) = 0 |
|---|
| 629 | DO_2D( nn_hls, nn_hls, nn_hls, nn_hls ) |
|---|
| 630 | IF( a_i(ji,jj,jl) > 0._wp .AND. v_i(ji,jj,jl) > (a_i(ji,jj,jl) * hi_max(jl)) ) THEN |
|---|
| 631 | npti = npti + 1 |
|---|
| 632 | nptidx( npti ) = (jj - 1) * jpi + ji |
|---|
| 633 | ENDIF |
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| 634 | END_2D |
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| 635 | ! |
|---|
| 636 | IF( npti > 0 ) THEN |
|---|
| 637 | !!clem CALL tab_2d_1d( npti, nptidx(1:npti), h_i_1d(1:npti), h_i(:,:,jl) ) |
|---|
| 638 | CALL tab_2d_1d( npti, nptidx(1:npti), a_i_1d(1:npti), a_i(:,:,jl) ) |
|---|
| 639 | CALL tab_2d_1d( npti, nptidx(1:npti), v_i_1d(1:npti), v_i(:,:,jl) ) |
|---|
| 640 | ! |
|---|
| 641 | DO ji = 1, npti |
|---|
| 642 | jdonor(ji,jl) = jl |
|---|
| 643 | ! how much of a_i you send in cat sup is somewhat arbitrary |
|---|
| 644 | ! these are from CICE => transfer everything |
|---|
| 645 | !!zdaice(ji,jl) = a_i_1d(ji) |
|---|
| 646 | !!zdvice(ji,jl) = v_i_1d(ji) |
|---|
| 647 | ! these are from LLN => transfer only half of the category |
|---|
| 648 | zdaice(ji,jl) = 0.5_wp * a_i_1d(ji) |
|---|
| 649 | zdvice(ji,jl) = v_i_1d(ji) - (1._wp - 0.5_wp) * a_i_1d(ji) * hi_mean(jl) |
|---|
| 650 | END DO |
|---|
| 651 | ! |
|---|
| 652 | CALL itd_shiftice( jdonor(1:npti,:), zdaice(1:npti,:), zdvice(1:npti,:) ) ! Shift jl=>jl+1 |
|---|
| 653 | ! Reset shift parameters |
|---|
| 654 | jdonor(1:npti,jl) = 0 |
|---|
| 655 | zdaice(1:npti,jl) = 0._wp |
|---|
| 656 | zdvice(1:npti,jl) = 0._wp |
|---|
| 657 | ENDIF |
|---|
| 658 | ! |
|---|
| 659 | END DO |
|---|
| 660 | |
|---|
| 661 | ! !----------------------------------------- |
|---|
| 662 | DO jl = jpl-1, 1, -1 ! Identify thicknesses that are too small |
|---|
| 663 | ! !----------------------------------------- |
|---|
| 664 | npti = 0 ; nptidx(:) = 0 |
|---|
| 665 | DO_2D( nn_hls, nn_hls, nn_hls, nn_hls ) |
|---|
| 666 | IF( a_i(ji,jj,jl+1) > 0._wp .AND. v_i(ji,jj,jl+1) <= (a_i(ji,jj,jl+1) * hi_max(jl)) ) THEN |
|---|
| 667 | npti = npti + 1 |
|---|
| 668 | nptidx( npti ) = (jj - 1) * jpi + ji |
|---|
| 669 | ENDIF |
|---|
| 670 | END_2D |
|---|
| 671 | ! |
|---|
| 672 | IF( npti > 0 ) THEN |
|---|
| 673 | CALL tab_2d_1d( npti, nptidx(1:npti), a_i_1d(1:npti), a_i(:,:,jl+1) ) ! jl+1 is ok |
|---|
| 674 | CALL tab_2d_1d( npti, nptidx(1:npti), v_i_1d(1:npti), v_i(:,:,jl+1) ) ! jl+1 is ok |
|---|
| 675 | DO ji = 1, npti |
|---|
| 676 | jdonor(ji,jl) = jl + 1 |
|---|
| 677 | zdaice(ji,jl) = a_i_1d(ji) |
|---|
| 678 | zdvice(ji,jl) = v_i_1d(ji) |
|---|
| 679 | END DO |
|---|
| 680 | ! |
|---|
| 681 | CALL itd_shiftice( jdonor(1:npti,:), zdaice(1:npti,:), zdvice(1:npti,:) ) ! Shift jl+1=>jl |
|---|
| 682 | ! Reset shift parameters |
|---|
| 683 | jdonor(1:npti,jl) = 0 |
|---|
| 684 | zdaice(1:npti,jl) = 0._wp |
|---|
| 685 | zdvice(1:npti,jl) = 0._wp |
|---|
| 686 | ENDIF |
|---|
| 687 | ! |
|---|
| 688 | END DO |
|---|
| 689 | ! |
|---|
| 690 | IF( ln_icediachk ) CALL ice_cons_hsm(1, 'iceitd_reb', rdiag_v, rdiag_s, rdiag_t, rdiag_fv, rdiag_fs, rdiag_ft) |
|---|
| 691 | IF( ln_icediachk ) CALL ice_cons2D (1, 'iceitd_reb', diag_v, diag_s, diag_t, diag_fv, diag_fs, diag_ft) |
|---|
| 692 | IF( ln_timing ) CALL timing_stop ('iceitd_reb') |
|---|
| 693 | ! |
|---|
| 694 | END SUBROUTINE ice_itd_reb |
|---|
| 695 | |
|---|
| 696 | |
|---|
| 697 | SUBROUTINE ice_itd_init |
|---|
| 698 | !!------------------------------------------------------------------ |
|---|
| 699 | !! *** ROUTINE ice_itd_init *** |
|---|
| 700 | !! |
|---|
| 701 | !! ** Purpose : Initializes the ice thickness distribution |
|---|
| 702 | !! ** Method : ... |
|---|
| 703 | !! ** input : Namelist namitd |
|---|
| 704 | !!------------------------------------------------------------------- |
|---|
| 705 | INTEGER :: jl ! dummy loop index |
|---|
| 706 | INTEGER :: ios, ioptio ! Local integer output status for namelist read |
|---|
| 707 | REAL(wp) :: zhmax, znum, zden, zalpha ! - - |
|---|
| 708 | ! |
|---|
| 709 | NAMELIST/namitd/ ln_cat_hfn, rn_himean, ln_cat_usr, rn_catbnd, rn_himin, rn_himax |
|---|
| 710 | !!------------------------------------------------------------------ |
|---|
| 711 | ! |
|---|
| 712 | READ ( numnam_ice_ref, namitd, IOSTAT = ios, ERR = 901) |
|---|
| 713 | 901 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namitd in reference namelist' ) |
|---|
| 714 | READ ( numnam_ice_cfg, namitd, IOSTAT = ios, ERR = 902 ) |
|---|
| 715 | 902 IF( ios > 0 ) CALL ctl_nam ( ios , 'namitd in configuration namelist' ) |
|---|
| 716 | IF(lwm) WRITE( numoni, namitd ) |
|---|
| 717 | ! |
|---|
| 718 | IF(lwp) THEN ! control print |
|---|
| 719 | WRITE(numout,*) |
|---|
| 720 | WRITE(numout,*) 'ice_itd_init: Initialization of ice cat distribution ' |
|---|
| 721 | WRITE(numout,*) '~~~~~~~~~~~~' |
|---|
| 722 | WRITE(numout,*) ' Namelist namitd: ' |
|---|
| 723 | WRITE(numout,*) ' Ice categories are defined by a function of rn_himean**(-0.05) ln_cat_hfn = ', ln_cat_hfn |
|---|
| 724 | WRITE(numout,*) ' mean ice thickness in the domain rn_himean = ', rn_himean |
|---|
| 725 | WRITE(numout,*) ' Ice categories are defined by rn_catbnd ln_cat_usr = ', ln_cat_usr |
|---|
| 726 | WRITE(numout,*) ' minimum ice thickness allowed rn_himin = ', rn_himin |
|---|
| 727 | WRITE(numout,*) ' maximum ice thickness allowed rn_himax = ', rn_himax |
|---|
| 728 | ENDIF |
|---|
| 729 | ! |
|---|
| 730 | !-----------------------------------! |
|---|
| 731 | ! Thickness categories boundaries ! |
|---|
| 732 | !-----------------------------------! |
|---|
| 733 | ! !== set the choice of ice categories ==! |
|---|
| 734 | ioptio = 0 |
|---|
| 735 | IF( ln_cat_hfn ) THEN ; ioptio = ioptio + 1 ; nice_catbnd = np_cathfn ; ENDIF |
|---|
| 736 | IF( ln_cat_usr ) THEN ; ioptio = ioptio + 1 ; nice_catbnd = np_catusr ; ENDIF |
|---|
| 737 | IF( ioptio /= 1 ) CALL ctl_stop( 'ice_itd_init: choose one and only one ice categories boundaries' ) |
|---|
| 738 | ! |
|---|
| 739 | SELECT CASE( nice_catbnd ) |
|---|
| 740 | ! !------------------------! |
|---|
| 741 | CASE( np_cathfn ) ! h^(-alpha) function |
|---|
| 742 | ! !------------------------! |
|---|
| 743 | zalpha = 0.05_wp |
|---|
| 744 | zhmax = 3._wp * rn_himean |
|---|
| 745 | hi_max(0) = 0._wp |
|---|
| 746 | DO jl = 1, jpl |
|---|
| 747 | znum = jpl * ( zhmax+1 )**zalpha |
|---|
| 748 | zden = REAL( jpl-jl , wp ) * ( zhmax + 1._wp )**zalpha + REAL( jl , wp ) |
|---|
| 749 | hi_max(jl) = ( znum / zden )**(1./zalpha) - 1 |
|---|
| 750 | END DO |
|---|
| 751 | ! !------------------------! |
|---|
| 752 | CASE( np_catusr ) ! user defined |
|---|
| 753 | ! !------------------------! |
|---|
| 754 | DO jl = 0, jpl |
|---|
| 755 | hi_max(jl) = rn_catbnd(jl) |
|---|
| 756 | END DO |
|---|
| 757 | ! |
|---|
| 758 | END SELECT |
|---|
| 759 | ! |
|---|
| 760 | DO jl = 1, jpl ! mean thickness by category |
|---|
| 761 | hi_mean(jl) = ( hi_max(jl) + hi_max(jl-1) ) * 0.5_wp |
|---|
| 762 | END DO |
|---|
| 763 | ! |
|---|
| 764 | hi_max(jpl) = rn_himax ! set to a big value to ensure that all ice is thinner than hi_max(jpl) |
|---|
| 765 | ! |
|---|
| 766 | IF(lwp) WRITE(numout,*) |
|---|
| 767 | IF(lwp) WRITE(numout,*) ' ===>>> resulting thickness category boundaries :' |
|---|
| 768 | IF(lwp) WRITE(numout,*) ' hi_max(:)= ', hi_max(0:jpl) |
|---|
| 769 | ! |
|---|
| 770 | IF( hi_max(1) < rn_himin ) CALL ctl_stop('ice_itd_init: the upper bound of the 1st category must be bigger than rn_himin') |
|---|
| 771 | ! |
|---|
| 772 | END SUBROUTINE ice_itd_init |
|---|
| 773 | |
|---|
| 774 | #else |
|---|
| 775 | !!---------------------------------------------------------------------- |
|---|
| 776 | !! Default option : Empty module NO SI3 sea-ice model |
|---|
| 777 | !!---------------------------------------------------------------------- |
|---|
| 778 | #endif |
|---|
| 779 | |
|---|
| 780 | !!====================================================================== |
|---|
| 781 | END MODULE iceitd |
|---|
