[8586] | 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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[9604] | 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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[8586] | 8 | !!---------------------------------------------------------------------- |
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[9570] | 9 | #if defined key_si3 |
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[8586] | 10 | !!---------------------------------------------------------------------- |
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[9570] | 11 | !! 'key_si3' SI3 sea-ice model |
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[8586] | 12 | !!---------------------------------------------------------------------- |
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[8813] | 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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[8586] | 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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[10994] | 23 | USE icevar ! sea-ice: operations |
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[8586] | 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 | |
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| 32 | IMPLICIT NONE |
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| 33 | PRIVATE |
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| 34 | |
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| 35 | PUBLIC ice_itd_init ! called in icestp |
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| 36 | PUBLIC ice_itd_rem ! called in icethd |
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| 37 | PUBLIC ice_itd_reb ! called in icecor |
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| 38 | |
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[8813] | 39 | INTEGER :: nice_catbnd ! choice of the type of ice category function |
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| 40 | ! ! associated indices: |
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| 41 | INTEGER, PARAMETER :: np_cathfn = 1 ! categories defined by a function |
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| 42 | INTEGER, PARAMETER :: np_catusr = 2 ! categories defined by the user |
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| 43 | ! |
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| 44 | ! !! ** namelist (namitd) ** |
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| 45 | LOGICAL :: ln_cat_hfn ! ice categories are defined by function like rn_himean**(-0.05) |
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| 46 | REAL(wp) :: rn_himean ! mean thickness of the domain |
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| 47 | LOGICAL :: ln_cat_usr ! ice categories are defined by rn_catbnd |
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| 48 | REAL(wp), DIMENSION(0:100) :: rn_catbnd ! ice categories bounds |
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[13472] | 49 | REAL(wp) :: rn_himax ! maximum ice thickness allowed |
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[8813] | 50 | ! |
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[12377] | 51 | !! * Substitutions |
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| 52 | # include "do_loop_substitute.h90" |
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[8586] | 53 | !!---------------------------------------------------------------------- |
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[9598] | 54 | !! NEMO/ICE 4.0 , NEMO Consortium (2018) |
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[10069] | 55 | !! $Id$ |
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[10068] | 56 | !! Software governed by the CeCILL license (see ./LICENSE) |
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[8586] | 57 | !!---------------------------------------------------------------------- |
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| 58 | CONTAINS |
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| 59 | |
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| 60 | SUBROUTINE ice_itd_rem( kt ) |
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| 61 | !!------------------------------------------------------------------ |
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| 62 | !! *** ROUTINE ice_itd_rem *** |
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| 63 | !! |
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| 64 | !! ** Purpose : computes the redistribution of ice thickness |
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| 65 | !! after thermodynamic growth of ice thickness |
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| 66 | !! |
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| 67 | !! ** Method : Linear remapping |
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| 68 | !! |
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| 69 | !! References : W.H. Lipscomb, JGR 2001 |
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| 70 | !!------------------------------------------------------------------ |
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| 71 | INTEGER , INTENT (in) :: kt ! Ocean time step |
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| 72 | ! |
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| 73 | INTEGER :: ji, jj, jl, jcat ! dummy loop index |
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| 74 | INTEGER :: ipti ! local integer |
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| 75 | REAL(wp) :: zx1, zwk1, zdh0, zetamin, zdamax ! local scalars |
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| 76 | REAL(wp) :: zx2, zwk2, zda0, zetamax ! - - |
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| 77 | REAL(wp) :: zx3 |
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| 78 | REAL(wp) :: zslope ! used to compute local thermodynamic "speeds" |
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[8813] | 79 | ! |
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[8586] | 80 | INTEGER , DIMENSION(jpij) :: iptidx ! compute remapping or not |
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| 81 | INTEGER , DIMENSION(jpij,jpl-1) :: jdonor ! donor category index |
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| 82 | REAL(wp), DIMENSION(jpij,jpl) :: zdhice ! ice thickness increment |
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| 83 | REAL(wp), DIMENSION(jpij,jpl) :: g0, g1 ! coefficients for fitting the line of the ITD |
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| 84 | REAL(wp), DIMENSION(jpij,jpl) :: hL, hR ! left and right boundary for the ITD for each thickness |
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| 85 | REAL(wp), DIMENSION(jpij,jpl-1) :: zdaice, zdvice ! local increment of ice area and volume |
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| 86 | REAL(wp), DIMENSION(jpij) :: zhb0, zhb1 ! category boundaries for thinnes categories |
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| 87 | REAL(wp), DIMENSION(jpij,0:jpl) :: zhbnew ! new boundaries of ice categories |
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| 88 | !!------------------------------------------------------------------ |
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| 89 | |
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| 90 | IF( kt == nit000 .AND. lwp ) WRITE(numout,*) '-- ice_itd_rem: remapping ice thickness distribution' |
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| 91 | |
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| 92 | 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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[11536] | 93 | 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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[8586] | 94 | |
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| 95 | !----------------------------------------------------------------------------------------------- |
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| 96 | ! 1) Identify grid cells with ice |
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| 97 | !----------------------------------------------------------------------------------------------- |
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[10994] | 98 | at_i(:,:) = SUM( a_i, dim=3 ) |
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| 99 | ! |
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[8586] | 100 | npti = 0 ; nptidx(:) = 0 |
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[13295] | 101 | DO_2D( 1, 1, 1, 1 ) |
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[12377] | 102 | IF ( at_i(ji,jj) > epsi10 ) THEN |
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| 103 | npti = npti + 1 |
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| 104 | nptidx( npti ) = (jj - 1) * jpi + ji |
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| 105 | ENDIF |
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| 106 | END_2D |
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[8586] | 107 | |
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| 108 | !----------------------------------------------------------------------------------------------- |
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| 109 | ! 2) Compute new category boundaries |
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| 110 | !----------------------------------------------------------------------------------------------- |
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| 111 | IF( npti > 0 ) THEN |
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[8813] | 112 | ! |
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[8586] | 113 | zdhice(:,:) = 0._wp |
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| 114 | zhbnew(:,:) = 0._wp |
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[8813] | 115 | ! |
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[8586] | 116 | CALL tab_3d_2d( npti, nptidx(1:npti), h_i_2d (1:npti,1:jpl), h_i ) |
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| 117 | CALL tab_3d_2d( npti, nptidx(1:npti), h_ib_2d(1:npti,1:jpl), h_i_b ) |
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[9880] | 118 | CALL tab_3d_2d( npti, nptidx(1:npti), a_i_2d (1:npti,1:jpl), a_i ) |
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| 119 | CALL tab_3d_2d( npti, nptidx(1:npti), a_ib_2d(1:npti,1:jpl), a_i_b ) |
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[8813] | 120 | ! |
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[8586] | 121 | DO jl = 1, jpl |
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| 122 | ! Compute thickness change in each ice category |
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| 123 | DO ji = 1, npti |
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[9880] | 124 | IF( a_i_2d(ji,jl) > epsi10 ) zdhice(ji,jl) = h_i_2d(ji,jl) - h_ib_2d(ji,jl) |
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[8586] | 125 | END DO |
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| 126 | END DO |
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[8813] | 127 | ! |
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[8586] | 128 | ! --- New boundaries for category 1:jpl-1 --- ! |
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| 129 | DO jl = 1, jpl - 1 |
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| 130 | ! |
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| 131 | DO ji = 1, npti |
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| 132 | ! |
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| 133 | ! --- New boundary: Hn* = Hn + Fn*dt --- ! |
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| 134 | ! Fn*dt = ( fn + (fn+1 - fn)/(hn+1 - hn) * (Hn - hn) ) * dt = zdhice + zslope * (Hmax - h_i_b) |
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| 135 | ! |
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| 136 | 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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[9880] | 137 | zslope = ( zdhice(ji,jl+1) - zdhice(ji,jl) ) / ( h_ib_2d(ji,jl+1) - h_ib_2d(ji,jl) ) |
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[8586] | 138 | zhbnew(ji,jl) = hi_max(jl) + zdhice(ji,jl) + zslope * ( hi_max(jl) - h_ib_2d(ji,jl) ) |
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| 139 | 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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| 140 | zhbnew(ji,jl) = hi_max(jl) + zdhice(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)=0 => Hn* = Hn + fn+1*dt |
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| 142 | zhbnew(ji,jl) = hi_max(jl) + zdhice(ji,jl+1) |
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| 143 | ELSE ! a(jl+1) & a(jl) = 0 |
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| 144 | zhbnew(ji,jl) = hi_max(jl) |
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| 145 | ENDIF |
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| 146 | ! |
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| 147 | ! --- 2 conditions for remapping --- ! |
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| 148 | ! 1) hn(t+1)+espi < Hn* < hn+1(t+1)-epsi |
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| 149 | ! 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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[8813] | 150 | ! in itd_glinear in the case (HR-HL) = 3(Hice - HL) or = 3(HR - Hice) |
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[13226] | 151 | # if defined key_single |
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| 152 | IF( a_i_2d(ji,jl ) > epsi10 .AND. h_i_2d(ji,jl ) > ( zhbnew(ji,jl) - epsi06 ) ) nptidx(ji) = 0 |
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| 153 | 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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| 154 | # else |
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[8586] | 155 | IF( a_i_2d(ji,jl ) > epsi10 .AND. h_i_2d(ji,jl ) > ( zhbnew(ji,jl) - epsi10 ) ) nptidx(ji) = 0 |
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| 156 | 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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[13226] | 157 | # endif |
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[8813] | 158 | ! |
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[8586] | 159 | ! 2) Hn-1 < Hn* < Hn+1 |
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| 160 | IF( zhbnew(ji,jl) < hi_max(jl-1) ) nptidx(ji) = 0 |
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| 161 | IF( zhbnew(ji,jl) > hi_max(jl+1) ) nptidx(ji) = 0 |
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[8813] | 162 | ! |
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[8586] | 163 | END DO |
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| 164 | END DO |
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| 165 | ! |
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| 166 | ! --- New boundaries for category jpl --- ! |
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| 167 | DO ji = 1, npti |
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| 168 | IF( a_i_2d(ji,jpl) > epsi10 ) THEN |
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| 169 | 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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| 170 | ELSE |
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| 171 | zhbnew(ji,jpl) = hi_max(jpl) |
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| 172 | ENDIF |
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[8813] | 173 | ! |
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[8586] | 174 | ! --- 1 additional condition for remapping (1st category) --- ! |
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| 175 | ! H0+epsi < h1(t) < H1-epsi |
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| 176 | ! h1(t) must not be too close to either HR or HL otherwise a division by nearly 0 is possible |
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[8813] | 177 | ! in itd_glinear in the case (HR-HL) = 3(Hice - HL) or = 3(HR - Hice) |
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[13226] | 178 | # if defined key_single |
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| 179 | IF( h_ib_2d(ji,1) < ( hi_max(0) + epsi06 ) ) nptidx(ji) = 0 |
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| 180 | IF( h_ib_2d(ji,1) > ( hi_max(1) - epsi06 ) ) nptidx(ji) = 0 |
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| 181 | # else |
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[8586] | 182 | IF( h_ib_2d(ji,1) < ( hi_max(0) + epsi10 ) ) nptidx(ji) = 0 |
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| 183 | IF( h_ib_2d(ji,1) > ( hi_max(1) - epsi10 ) ) nptidx(ji) = 0 |
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[13226] | 184 | # endif |
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[8586] | 185 | END DO |
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| 186 | ! |
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| 187 | !----------------------------------------------------------------------------------------------- |
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| 188 | ! 3) Identify cells where remapping |
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| 189 | !----------------------------------------------------------------------------------------------- |
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[8813] | 190 | ipti = 0 ; iptidx(:) = 0 |
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[8586] | 191 | DO ji = 1, npti |
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| 192 | IF( nptidx(ji) /= 0 ) THEN |
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| 193 | ipti = ipti + 1 |
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| 194 | iptidx(ipti) = nptidx(ji) |
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| 195 | zhbnew(ipti,:) = zhbnew(ji,:) ! adjust zhbnew to new indices |
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| 196 | ENDIF |
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| 197 | END DO |
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| 198 | nptidx(:) = iptidx(:) |
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| 199 | npti = ipti |
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| 200 | ! |
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| 201 | ENDIF |
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| 202 | |
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| 203 | !----------------------------------------------------------------------------------------------- |
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| 204 | ! 4) Compute g(h) |
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| 205 | !----------------------------------------------------------------------------------------------- |
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| 206 | IF( npti > 0 ) THEN |
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| 207 | ! |
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| 208 | zhb0(:) = hi_max(0) ; zhb1(:) = hi_max(1) |
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| 209 | g0(:,:) = 0._wp ; g1(:,:) = 0._wp |
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| 210 | hL(:,:) = 0._wp ; hR(:,:) = 0._wp |
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| 211 | ! |
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| 212 | DO jl = 1, jpl |
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| 213 | ! |
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| 214 | CALL tab_2d_1d( npti, nptidx(1:npti), h_ib_1d(1:npti), h_i_b(:,:,jl) ) |
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[9880] | 215 | CALL tab_2d_1d( npti, nptidx(1:npti), h_i_1d (1:npti), h_i (:,:,jl) ) |
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| 216 | CALL tab_2d_1d( npti, nptidx(1:npti), a_i_1d (1:npti), a_i (:,:,jl) ) |
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| 217 | CALL tab_2d_1d( npti, nptidx(1:npti), v_i_1d (1:npti), v_i (:,:,jl) ) |
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[8586] | 218 | ! |
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| 219 | IF( jl == 1 ) THEN |
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| 220 | ! |
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| 221 | ! --- g(h) for category 1 --- ! |
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[8813] | 222 | CALL itd_glinear( zhb0(1:npti) , zhb1(1:npti) , h_ib_1d(1:npti) , a_i_1d(1:npti) , & ! in |
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[9880] | 223 | & g0 (1:npti,1), g1 (1:npti,1), hL (1:npti,1), hR (1:npti,1) ) ! out |
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[11732] | 224 | ! |
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[8586] | 225 | ! Area lost due to melting of thin ice |
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| 226 | DO ji = 1, npti |
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| 227 | ! |
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| 228 | IF( a_i_1d(ji) > epsi10 ) THEN |
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| 229 | ! |
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| 230 | zdh0 = h_i_1d(ji) - h_ib_1d(ji) |
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[11732] | 231 | IF( zdh0 < 0.0 ) THEN ! remove area from category 1 |
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[8586] | 232 | zdh0 = MIN( -zdh0, hi_max(1) ) |
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| 233 | !Integrate g(1) from 0 to dh0 to estimate area melted |
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| 234 | zetamax = MIN( zdh0, hR(ji,1) ) - hL(ji,1) |
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| 235 | ! |
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| 236 | IF( zetamax > 0.0 ) THEN |
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| 237 | zx1 = zetamax |
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| 238 | zx2 = 0.5 * zetamax * zetamax |
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[11732] | 239 | zda0 = g1(ji,1) * zx2 + g0(ji,1) * zx1 ! ice area removed |
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[8586] | 240 | zdamax = a_i_1d(ji) * (1.0 - h_i_1d(ji) / h_ib_1d(ji) ) ! Constrain new thickness <= h_i |
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[11732] | 241 | zda0 = MIN( zda0, zdamax ) ! ice area lost due to melting of thin ice (zdamax > 0) |
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[8586] | 242 | ! Remove area, conserving volume |
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| 243 | h_i_1d(ji) = h_i_1d(ji) * a_i_1d(ji) / ( a_i_1d(ji) - zda0 ) |
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[9880] | 244 | a_i_1d(ji) = a_i_1d(ji) - zda0 |
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| 245 | v_i_1d(ji) = a_i_1d(ji) * h_i_1d(ji) ! useless ? |
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[8586] | 246 | ENDIF |
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| 247 | ! |
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| 248 | ELSE ! if ice accretion zdh0 > 0 |
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| 249 | ! zhbnew was 0, and is shifted to the right to account for thin ice growth in openwater (F0 = f1) |
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| 250 | zhbnew(ji,0) = MIN( zdh0, hi_max(1) ) |
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| 251 | ENDIF |
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| 252 | ! |
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| 253 | ENDIF |
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| 254 | ! |
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| 255 | END DO |
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| 256 | ! |
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[9880] | 257 | CALL tab_1d_2d( npti, nptidx(1:npti), h_i_1d(1:npti), h_i(:,:,jl) ) |
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| 258 | CALL tab_1d_2d( npti, nptidx(1:npti), a_i_1d(1:npti), a_i(:,:,jl) ) |
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| 259 | CALL tab_1d_2d( npti, nptidx(1:npti), v_i_1d(1:npti), v_i(:,:,jl) ) |
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[8586] | 260 | ! |
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| 261 | ENDIF ! jl=1 |
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| 262 | ! |
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| 263 | ! --- g(h) for each thickness category --- ! |
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[8813] | 264 | 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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[10994] | 265 | & g0 (1:npti,jl ), g1 (1:npti,jl), hL (1:npti,jl), hR (1:npti,jl) ) ! out |
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[8586] | 266 | ! |
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| 267 | END DO |
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| 268 | |
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| 269 | !----------------------------------------------------------------------------------------------- |
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| 270 | ! 5) Compute area and volume to be shifted across each boundary (Eq. 18) |
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| 271 | !----------------------------------------------------------------------------------------------- |
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| 272 | DO jl = 1, jpl - 1 |
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| 273 | ! |
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| 274 | DO ji = 1, npti |
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| 275 | ! |
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| 276 | ! left and right integration limits in eta space |
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| 277 | IF (zhbnew(ji,jl) > hi_max(jl)) THEN ! Hn* > Hn => transfer from jl to jl+1 |
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| 278 | zetamin = MAX( hi_max(jl) , hL(ji,jl) ) - hL(ji,jl) ! hi_max(jl) - hL |
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| 279 | zetamax = MIN( zhbnew(ji,jl), hR(ji,jl) ) - hL(ji,jl) ! hR - hL |
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| 280 | jdonor(ji,jl) = jl |
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| 281 | ELSE ! Hn* <= Hn => transfer from jl+1 to jl |
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| 282 | zetamin = 0.0 |
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| 283 | zetamax = MIN( hi_max(jl), hR(ji,jl+1) ) - hL(ji,jl+1) ! hi_max(jl) - hL |
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| 284 | jdonor(ji,jl) = jl + 1 |
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| 285 | ENDIF |
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| 286 | zetamax = MAX( zetamax, zetamin ) ! no transfer if etamax < etamin |
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| 287 | ! |
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| 288 | zx1 = zetamax - zetamin |
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| 289 | zwk1 = zetamin * zetamin |
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| 290 | zwk2 = zetamax * zetamax |
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| 291 | zx2 = 0.5 * ( zwk2 - zwk1 ) |
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| 292 | zwk1 = zwk1 * zetamin |
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| 293 | zwk2 = zwk2 * zetamax |
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| 294 | zx3 = 1.0 / 3.0 * ( zwk2 - zwk1 ) |
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| 295 | jcat = jdonor(ji,jl) |
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| 296 | zdaice(ji,jl) = g1(ji,jcat)*zx2 + g0(ji,jcat)*zx1 |
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| 297 | zdvice(ji,jl) = g1(ji,jcat)*zx3 + g0(ji,jcat)*zx2 + zdaice(ji,jl)*hL(ji,jcat) |
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| 298 | ! |
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| 299 | END DO |
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| 300 | END DO |
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| 301 | |
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| 302 | !---------------------------------------------------------------------------------------------- |
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| 303 | ! 6) Shift ice between categories |
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| 304 | !---------------------------------------------------------------------------------------------- |
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[8813] | 305 | CALL itd_shiftice ( jdonor(1:npti,:), zdaice(1:npti,:), zdvice(1:npti,:) ) |
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[8586] | 306 | |
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| 307 | !---------------------------------------------------------------------------------------------- |
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| 308 | ! 7) Make sure h_i >= minimum ice thickness hi_min |
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| 309 | !---------------------------------------------------------------------------------------------- |
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[8906] | 310 | CALL tab_2d_1d( npti, nptidx(1:npti), h_i_1d (1:npti), h_i (:,:,1) ) |
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| 311 | CALL tab_2d_1d( npti, nptidx(1:npti), a_i_1d (1:npti), a_i (:,:,1) ) |
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| 312 | CALL tab_2d_1d( npti, nptidx(1:npti), a_ip_1d(1:npti), a_ip(:,:,1) ) |
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[8813] | 313 | ! |
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[8586] | 314 | DO ji = 1, npti |
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| 315 | IF ( a_i_1d(ji) > epsi10 .AND. h_i_1d(ji) < rn_himin ) THEN |
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[9880] | 316 | a_i_1d(ji) = a_i_1d(ji) * h_i_1d(ji) / rn_himin |
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[13472] | 317 | IF( ln_pnd_LEV ) a_ip_1d(ji) = a_ip_1d(ji) * h_i_1d(ji) / rn_himin |
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[8586] | 318 | h_i_1d(ji) = rn_himin |
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| 319 | ENDIF |
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| 320 | END DO |
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| 321 | ! |
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[8906] | 322 | CALL tab_1d_2d( npti, nptidx(1:npti), h_i_1d (1:npti), h_i (:,:,1) ) |
---|
| 323 | CALL tab_1d_2d( npti, nptidx(1:npti), a_i_1d (1:npti), a_i (:,:,1) ) |
---|
| 324 | CALL tab_1d_2d( npti, nptidx(1:npti), a_ip_1d(1:npti), a_ip(:,:,1) ) |
---|
[8586] | 325 | ! |
---|
| 326 | ENDIF |
---|
| 327 | ! |
---|
| 328 | IF( ln_icediachk ) CALL ice_cons_hsm(1, 'iceitd_rem', rdiag_v, rdiag_s, rdiag_t, rdiag_fv, rdiag_fs, rdiag_ft) |
---|
[11536] | 329 | IF( ln_icediachk ) CALL ice_cons2D (1, 'iceitd_rem', diag_v, diag_s, diag_t, diag_fv, diag_fs, diag_ft) |
---|
[8586] | 330 | ! |
---|
| 331 | END SUBROUTINE ice_itd_rem |
---|
| 332 | |
---|
| 333 | |
---|
[8813] | 334 | SUBROUTINE itd_glinear( HbL, Hbr, phice, paice, pg0, pg1, phL, phR ) |
---|
[8586] | 335 | !!------------------------------------------------------------------ |
---|
[8813] | 336 | !! *** ROUTINE itd_glinear *** |
---|
[8586] | 337 | !! |
---|
| 338 | !! ** Purpose : build g(h) satisfying area and volume constraints (Eq. 6 and 9) |
---|
| 339 | !! |
---|
| 340 | !! ** Method : g(h) is linear and written as: g(eta) = g1(eta) + g0 |
---|
| 341 | !! with eta = h - HL |
---|
| 342 | !!------------------------------------------------------------------ |
---|
| 343 | REAL(wp), DIMENSION(:), INTENT(in ) :: HbL, HbR ! left and right category boundaries |
---|
| 344 | REAL(wp), DIMENSION(:), INTENT(in ) :: phice, paice ! ice thickness and concentration |
---|
| 345 | REAL(wp), DIMENSION(:), INTENT(inout) :: pg0, pg1 ! coefficients in linear equation for g(eta) |
---|
| 346 | REAL(wp), DIMENSION(:), INTENT(inout) :: phL, phR ! min and max value of range over which g(h) > 0 |
---|
| 347 | ! |
---|
| 348 | INTEGER :: ji ! horizontal indices |
---|
| 349 | REAL(wp) :: z1_3 , z2_3 ! 1/3 , 2/3 |
---|
| 350 | REAL(wp) :: zh13 ! HbL + 1/3 * (HbR - HbL) |
---|
| 351 | REAL(wp) :: zh23 ! HbL + 2/3 * (HbR - HbL) |
---|
| 352 | REAL(wp) :: zdhr ! 1 / (hR - hL) |
---|
| 353 | REAL(wp) :: zwk1, zwk2 ! temporary variables |
---|
| 354 | !!------------------------------------------------------------------ |
---|
| 355 | ! |
---|
| 356 | z1_3 = 1._wp / 3._wp |
---|
| 357 | z2_3 = 2._wp / 3._wp |
---|
| 358 | ! |
---|
| 359 | DO ji = 1, npti |
---|
| 360 | ! |
---|
[11732] | 361 | IF( paice(ji) > epsi10 .AND. phice(ji) > epsi10 ) THEN |
---|
[8586] | 362 | ! |
---|
| 363 | ! Initialize hL and hR |
---|
| 364 | phL(ji) = HbL(ji) |
---|
| 365 | phR(ji) = HbR(ji) |
---|
| 366 | ! |
---|
| 367 | ! Change hL or hR if hice falls outside central third of range, |
---|
| 368 | ! so that hice is in the central third of the range [HL HR] |
---|
| 369 | zh13 = z1_3 * ( 2._wp * phL(ji) + phR(ji) ) |
---|
| 370 | zh23 = z1_3 * ( phL(ji) + 2._wp * phR(ji) ) |
---|
| 371 | ! |
---|
| 372 | IF ( phice(ji) < zh13 ) THEN ; phR(ji) = 3._wp * phice(ji) - 2._wp * phL(ji) ! move HR to the left |
---|
| 373 | ELSEIF( phice(ji) > zh23 ) THEN ; phL(ji) = 3._wp * phice(ji) - 2._wp * phR(ji) ! move HL to the right |
---|
| 374 | ENDIF |
---|
| 375 | ! |
---|
| 376 | ! Compute coefficients of g(eta) = g0 + g1*eta |
---|
| 377 | zdhr = 1._wp / (phR(ji) - phL(ji)) |
---|
| 378 | zwk1 = 6._wp * paice(ji) * zdhr |
---|
| 379 | zwk2 = ( phice(ji) - phL(ji) ) * zdhr |
---|
| 380 | pg0(ji) = zwk1 * ( z2_3 - zwk2 ) ! Eq. 14 |
---|
| 381 | pg1(ji) = 2._wp * zdhr * zwk1 * ( zwk2 - 0.5_wp ) ! Eq. 14 |
---|
| 382 | ! |
---|
| 383 | ELSE ! remap_flag = .false. or a_i < epsi10 |
---|
| 384 | phL(ji) = 0._wp |
---|
| 385 | phR(ji) = 0._wp |
---|
| 386 | pg0(ji) = 0._wp |
---|
| 387 | pg1(ji) = 0._wp |
---|
| 388 | ENDIF |
---|
| 389 | ! |
---|
| 390 | END DO |
---|
| 391 | ! |
---|
[8813] | 392 | END SUBROUTINE itd_glinear |
---|
[8586] | 393 | |
---|
| 394 | |
---|
[8813] | 395 | SUBROUTINE itd_shiftice( kdonor, pdaice, pdvice ) |
---|
[8586] | 396 | !!------------------------------------------------------------------ |
---|
[8813] | 397 | !! *** ROUTINE itd_shiftice *** |
---|
[8586] | 398 | !! |
---|
| 399 | !! ** Purpose : shift ice across category boundaries, conserving everything |
---|
| 400 | !! ( area, volume, energy, age*vol, and mass of salt ) |
---|
| 401 | !!------------------------------------------------------------------ |
---|
| 402 | INTEGER , DIMENSION(:,:), INTENT(in) :: kdonor ! donor category index |
---|
| 403 | REAL(wp), DIMENSION(:,:), INTENT(in) :: pdaice ! ice area transferred across boundary |
---|
| 404 | REAL(wp), DIMENSION(:,:), INTENT(in) :: pdvice ! ice volume transferred across boundary |
---|
| 405 | ! |
---|
[10994] | 406 | INTEGER :: ji, jl, jk ! dummy loop indices |
---|
| 407 | INTEGER :: jl2, jl1 ! local integers |
---|
[8586] | 408 | REAL(wp) :: ztrans ! ice/snow transferred |
---|
[10994] | 409 | REAL(wp), DIMENSION(jpij) :: zworka, zworkv ! workspace |
---|
| 410 | REAL(wp), DIMENSION(jpij,jpl) :: zaTsfn ! - - |
---|
| 411 | REAL(wp), DIMENSION(jpij,nlay_i,jpl) :: ze_i_2d |
---|
| 412 | REAL(wp), DIMENSION(jpij,nlay_s,jpl) :: ze_s_2d |
---|
[8586] | 413 | !!------------------------------------------------------------------ |
---|
| 414 | |
---|
| 415 | CALL tab_3d_2d( npti, nptidx(1:npti), h_i_2d (1:npti,1:jpl), h_i ) |
---|
| 416 | CALL tab_3d_2d( npti, nptidx(1:npti), a_i_2d (1:npti,1:jpl), a_i ) |
---|
| 417 | CALL tab_3d_2d( npti, nptidx(1:npti), v_i_2d (1:npti,1:jpl), v_i ) |
---|
| 418 | CALL tab_3d_2d( npti, nptidx(1:npti), v_s_2d (1:npti,1:jpl), v_s ) |
---|
| 419 | CALL tab_3d_2d( npti, nptidx(1:npti), oa_i_2d(1:npti,1:jpl), oa_i ) |
---|
| 420 | CALL tab_3d_2d( npti, nptidx(1:npti), sv_i_2d(1:npti,1:jpl), sv_i ) |
---|
| 421 | CALL tab_3d_2d( npti, nptidx(1:npti), a_ip_2d(1:npti,1:jpl), a_ip ) |
---|
| 422 | CALL tab_3d_2d( npti, nptidx(1:npti), v_ip_2d(1:npti,1:jpl), v_ip ) |
---|
[13472] | 423 | CALL tab_3d_2d( npti, nptidx(1:npti), v_il_2d(1:npti,1:jpl), v_il ) |
---|
[8586] | 424 | CALL tab_3d_2d( npti, nptidx(1:npti), t_su_2d(1:npti,1:jpl), t_su ) |
---|
[10994] | 425 | DO jl = 1, jpl |
---|
| 426 | DO jk = 1, nlay_s |
---|
| 427 | CALL tab_2d_1d( npti, nptidx(1:npti), ze_s_2d(1:npti,jk,jl), e_s(:,:,jk,jl) ) |
---|
| 428 | END DO |
---|
| 429 | DO jk = 1, nlay_i |
---|
| 430 | CALL tab_2d_1d( npti, nptidx(1:npti), ze_i_2d(1:npti,jk,jl), e_i(:,:,jk,jl) ) |
---|
| 431 | END DO |
---|
| 432 | END DO |
---|
| 433 | ! to correct roundoff errors on a_i |
---|
| 434 | CALL tab_2d_1d( npti, nptidx(1:npti), rn_amax_1d(1:npti), rn_amax_2d ) |
---|
[8586] | 435 | |
---|
| 436 | !---------------------------------------------------------------------------------------------- |
---|
| 437 | ! 1) Define a variable equal to a_i*T_su |
---|
| 438 | !---------------------------------------------------------------------------------------------- |
---|
| 439 | DO jl = 1, jpl |
---|
| 440 | DO ji = 1, npti |
---|
| 441 | zaTsfn(ji,jl) = a_i_2d(ji,jl) * t_su_2d(ji,jl) |
---|
| 442 | END DO |
---|
| 443 | END DO |
---|
| 444 | |
---|
| 445 | !------------------------------------------------------------------------------- |
---|
| 446 | ! 2) Transfer volume and energy between categories |
---|
| 447 | !------------------------------------------------------------------------------- |
---|
| 448 | DO jl = 1, jpl - 1 |
---|
| 449 | DO ji = 1, npti |
---|
| 450 | ! |
---|
| 451 | jl1 = kdonor(ji,jl) |
---|
| 452 | ! |
---|
| 453 | IF( jl1 > 0 ) THEN |
---|
| 454 | ! |
---|
| 455 | IF ( jl1 == jl ) THEN ; jl2 = jl1+1 |
---|
| 456 | ELSE ; jl2 = jl |
---|
| 457 | ENDIF |
---|
| 458 | ! |
---|
| 459 | IF( v_i_2d(ji,jl1) >= epsi10 ) THEN ; zworkv(ji) = pdvice(ji,jl) / v_i_2d(ji,jl1) |
---|
| 460 | ELSE ; zworkv(ji) = 0._wp |
---|
| 461 | ENDIF |
---|
| 462 | IF( a_i_2d(ji,jl1) >= epsi10 ) THEN ; zworka(ji) = pdaice(ji,jl) / a_i_2d(ji,jl1) |
---|
| 463 | ELSE ; zworka(ji) = 0._wp |
---|
| 464 | ENDIF |
---|
| 465 | ! |
---|
| 466 | a_i_2d(ji,jl1) = a_i_2d(ji,jl1) - pdaice(ji,jl) ! Ice areas |
---|
| 467 | a_i_2d(ji,jl2) = a_i_2d(ji,jl2) + pdaice(ji,jl) |
---|
| 468 | ! |
---|
| 469 | v_i_2d(ji,jl1) = v_i_2d(ji,jl1) - pdvice(ji,jl) ! Ice volumes |
---|
| 470 | v_i_2d(ji,jl2) = v_i_2d(ji,jl2) + pdvice(ji,jl) |
---|
| 471 | ! |
---|
| 472 | ztrans = v_s_2d(ji,jl1) * zworkv(ji) ! Snow volumes |
---|
| 473 | v_s_2d(ji,jl1) = v_s_2d(ji,jl1) - ztrans |
---|
| 474 | v_s_2d(ji,jl2) = v_s_2d(ji,jl2) + ztrans |
---|
[9880] | 475 | ! |
---|
| 476 | ztrans = oa_i_2d(ji,jl1) * zworka(ji) ! Ice age |
---|
[8586] | 477 | oa_i_2d(ji,jl1) = oa_i_2d(ji,jl1) - ztrans |
---|
| 478 | oa_i_2d(ji,jl2) = oa_i_2d(ji,jl2) + ztrans |
---|
| 479 | ! |
---|
| 480 | ztrans = sv_i_2d(ji,jl1) * zworkv(ji) ! Ice salinity |
---|
| 481 | sv_i_2d(ji,jl1) = sv_i_2d(ji,jl1) - ztrans |
---|
| 482 | sv_i_2d(ji,jl2) = sv_i_2d(ji,jl2) + ztrans |
---|
| 483 | ! |
---|
[9880] | 484 | ztrans = zaTsfn(ji,jl1) * zworka(ji) ! Surface temperature |
---|
[8586] | 485 | zaTsfn(ji,jl1) = zaTsfn(ji,jl1) - ztrans |
---|
| 486 | zaTsfn(ji,jl2) = zaTsfn(ji,jl2) + ztrans |
---|
| 487 | ! |
---|
[13472] | 488 | IF ( ln_pnd_LEV ) THEN |
---|
[9880] | 489 | ztrans = a_ip_2d(ji,jl1) * zworka(ji) ! Pond fraction |
---|
[8586] | 490 | a_ip_2d(ji,jl1) = a_ip_2d(ji,jl1) - ztrans |
---|
| 491 | a_ip_2d(ji,jl2) = a_ip_2d(ji,jl2) + ztrans |
---|
[9880] | 492 | ! |
---|
| 493 | ztrans = v_ip_2d(ji,jl1) * zworka(ji) ! Pond volume (also proportional to da/a) |
---|
[8586] | 494 | v_ip_2d(ji,jl1) = v_ip_2d(ji,jl1) - ztrans |
---|
| 495 | v_ip_2d(ji,jl2) = v_ip_2d(ji,jl2) + ztrans |
---|
[13472] | 496 | ! |
---|
| 497 | IF ( ln_pnd_lids ) THEN ! Pond lid volume |
---|
| 498 | ztrans = v_il_2d(ji,jl1) * zworka(ji) |
---|
| 499 | v_il_2d(ji,jl1) = v_il_2d(ji,jl1) - ztrans |
---|
| 500 | v_il_2d(ji,jl2) = v_il_2d(ji,jl2) + ztrans |
---|
| 501 | ENDIF |
---|
[8586] | 502 | ENDIF |
---|
| 503 | ! |
---|
| 504 | ENDIF ! jl1 >0 |
---|
| 505 | END DO |
---|
| 506 | ! |
---|
| 507 | DO jk = 1, nlay_s !--- Snow heat content |
---|
| 508 | DO ji = 1, npti |
---|
| 509 | ! |
---|
| 510 | jl1 = kdonor(ji,jl) |
---|
| 511 | ! |
---|
| 512 | IF( jl1 > 0 ) THEN |
---|
| 513 | IF(jl1 == jl) THEN ; jl2 = jl+1 |
---|
| 514 | ELSE ; jl2 = jl |
---|
| 515 | ENDIF |
---|
[10994] | 516 | ztrans = ze_s_2d(ji,jk,jl1) * zworkv(ji) |
---|
| 517 | ze_s_2d(ji,jk,jl1) = ze_s_2d(ji,jk,jl1) - ztrans |
---|
| 518 | ze_s_2d(ji,jk,jl2) = ze_s_2d(ji,jk,jl2) + ztrans |
---|
[8586] | 519 | ENDIF |
---|
| 520 | END DO |
---|
| 521 | END DO |
---|
[8813] | 522 | ! |
---|
[8586] | 523 | DO jk = 1, nlay_i !--- Ice heat content |
---|
| 524 | DO ji = 1, npti |
---|
| 525 | ! |
---|
| 526 | jl1 = kdonor(ji,jl) |
---|
| 527 | ! |
---|
| 528 | IF( jl1 > 0 ) THEN |
---|
| 529 | IF(jl1 == jl) THEN ; jl2 = jl+1 |
---|
| 530 | ELSE ; jl2 = jl |
---|
| 531 | ENDIF |
---|
[10994] | 532 | ztrans = ze_i_2d(ji,jk,jl1) * zworkv(ji) |
---|
| 533 | ze_i_2d(ji,jk,jl1) = ze_i_2d(ji,jk,jl1) - ztrans |
---|
| 534 | ze_i_2d(ji,jk,jl2) = ze_i_2d(ji,jk,jl2) + ztrans |
---|
[8586] | 535 | ENDIF |
---|
| 536 | END DO |
---|
| 537 | END DO |
---|
| 538 | ! |
---|
| 539 | END DO ! boundaries, 1 to jpl-1 |
---|
[10994] | 540 | |
---|
| 541 | !------------------- |
---|
| 542 | ! 3) roundoff errors |
---|
| 543 | !------------------- |
---|
| 544 | ! clem: The transfer between one category to another can lead to very small negative values (-1.e-20) |
---|
| 545 | ! because of truncation error ( i.e. 1. - 1. /= 0 ) |
---|
[13472] | 546 | 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 ) |
---|
[10994] | 547 | |
---|
| 548 | ! at_i must be <= rn_amax |
---|
| 549 | zworka(1:npti) = SUM( a_i_2d(1:npti,:), dim=2 ) |
---|
| 550 | DO jl = 1, jpl |
---|
| 551 | WHERE( zworka(1:npti) > rn_amax_1d(1:npti) ) & |
---|
| 552 | & a_i_2d(1:npti,jl) = a_i_2d(1:npti,jl) * rn_amax_1d(1:npti) / zworka(1:npti) |
---|
| 553 | END DO |
---|
[8586] | 554 | |
---|
| 555 | !------------------------------------------------------------------------------- |
---|
[10994] | 556 | ! 4) Update ice thickness and temperature |
---|
[8586] | 557 | !------------------------------------------------------------------------------- |
---|
[13226] | 558 | # if defined key_single |
---|
| 559 | WHERE( a_i_2d(1:npti,:) >= epsi06 ) |
---|
| 560 | # else |
---|
[8586] | 561 | WHERE( a_i_2d(1:npti,:) >= epsi20 ) |
---|
[13226] | 562 | # endif |
---|
[9880] | 563 | h_i_2d (1:npti,:) = v_i_2d(1:npti,:) / a_i_2d(1:npti,:) |
---|
[8586] | 564 | t_su_2d(1:npti,:) = zaTsfn(1:npti,:) / a_i_2d(1:npti,:) |
---|
| 565 | ELSEWHERE |
---|
[9880] | 566 | h_i_2d (1:npti,:) = 0._wp |
---|
[8586] | 567 | t_su_2d(1:npti,:) = rt0 |
---|
| 568 | END WHERE |
---|
| 569 | ! |
---|
| 570 | CALL tab_2d_3d( npti, nptidx(1:npti), h_i_2d (1:npti,1:jpl), h_i ) |
---|
| 571 | CALL tab_2d_3d( npti, nptidx(1:npti), a_i_2d (1:npti,1:jpl), a_i ) |
---|
| 572 | CALL tab_2d_3d( npti, nptidx(1:npti), v_i_2d (1:npti,1:jpl), v_i ) |
---|
| 573 | CALL tab_2d_3d( npti, nptidx(1:npti), v_s_2d (1:npti,1:jpl), v_s ) |
---|
| 574 | CALL tab_2d_3d( npti, nptidx(1:npti), oa_i_2d(1:npti,1:jpl), oa_i ) |
---|
| 575 | CALL tab_2d_3d( npti, nptidx(1:npti), sv_i_2d(1:npti,1:jpl), sv_i ) |
---|
| 576 | CALL tab_2d_3d( npti, nptidx(1:npti), a_ip_2d(1:npti,1:jpl), a_ip ) |
---|
| 577 | CALL tab_2d_3d( npti, nptidx(1:npti), v_ip_2d(1:npti,1:jpl), v_ip ) |
---|
[13472] | 578 | CALL tab_2d_3d( npti, nptidx(1:npti), v_il_2d(1:npti,1:jpl), v_il ) |
---|
[8586] | 579 | CALL tab_2d_3d( npti, nptidx(1:npti), t_su_2d(1:npti,1:jpl), t_su ) |
---|
[10994] | 580 | DO jl = 1, jpl |
---|
| 581 | DO jk = 1, nlay_s |
---|
| 582 | CALL tab_1d_2d( npti, nptidx(1:npti), ze_s_2d(1:npti,jk,jl), e_s(:,:,jk,jl) ) |
---|
| 583 | END DO |
---|
| 584 | DO jk = 1, nlay_i |
---|
| 585 | CALL tab_1d_2d( npti, nptidx(1:npti), ze_i_2d(1:npti,jk,jl), e_i(:,:,jk,jl) ) |
---|
| 586 | END DO |
---|
| 587 | END DO |
---|
[8586] | 588 | ! |
---|
[8813] | 589 | END SUBROUTINE itd_shiftice |
---|
[8586] | 590 | |
---|
| 591 | |
---|
| 592 | SUBROUTINE ice_itd_reb( kt ) |
---|
| 593 | !!------------------------------------------------------------------ |
---|
| 594 | !! *** ROUTINE ice_itd_reb *** |
---|
| 595 | !! |
---|
| 596 | !! ** Purpose : rebin - rebins thicknesses into defined categories |
---|
| 597 | !! |
---|
| 598 | !! ** Method : If a category thickness is out of bounds, shift part (for down to top) |
---|
| 599 | !! or entire (for top to down) area, volume, and energy |
---|
| 600 | !! to the neighboring category |
---|
| 601 | !!------------------------------------------------------------------ |
---|
| 602 | INTEGER , INTENT (in) :: kt ! Ocean time step |
---|
| 603 | INTEGER :: ji, jj, jl ! dummy loop indices |
---|
| 604 | ! |
---|
| 605 | INTEGER , DIMENSION(jpij,jpl-1) :: jdonor ! donor category index |
---|
| 606 | REAL(wp), DIMENSION(jpij,jpl-1) :: zdaice, zdvice ! ice area and volume transferred |
---|
| 607 | !!------------------------------------------------------------------ |
---|
| 608 | ! |
---|
| 609 | IF( kt == nit000 .AND. lwp ) WRITE(numout,*) '-- ice_itd_reb: rebining ice thickness distribution' |
---|
[8813] | 610 | ! |
---|
[10994] | 611 | IF( ln_icediachk ) CALL ice_cons_hsm(0, 'iceitd_reb', rdiag_v, rdiag_s, rdiag_t, rdiag_fv, rdiag_fs, rdiag_ft) |
---|
[11536] | 612 | IF( ln_icediachk ) CALL ice_cons2D (0, 'iceitd_reb', diag_v, diag_s, diag_t, diag_fv, diag_fs, diag_ft) |
---|
[10994] | 613 | ! |
---|
[8586] | 614 | jdonor(:,:) = 0 |
---|
| 615 | zdaice(:,:) = 0._wp |
---|
| 616 | zdvice(:,:) = 0._wp |
---|
| 617 | ! |
---|
| 618 | ! !--------------------------------------- |
---|
| 619 | DO jl = 1, jpl-1 ! identify thicknesses that are too big |
---|
| 620 | ! !--------------------------------------- |
---|
| 621 | npti = 0 ; nptidx(:) = 0 |
---|
[13295] | 622 | DO_2D( 1, 1, 1, 1 ) |
---|
[12377] | 623 | IF( a_i(ji,jj,jl) > 0._wp .AND. v_i(ji,jj,jl) > (a_i(ji,jj,jl) * hi_max(jl)) ) THEN |
---|
| 624 | npti = npti + 1 |
---|
| 625 | nptidx( npti ) = (jj - 1) * jpi + ji |
---|
| 626 | ENDIF |
---|
| 627 | END_2D |
---|
[8586] | 628 | ! |
---|
[13618] | 629 | IF( npti > 0 ) THEN |
---|
| 630 | !!clem CALL tab_2d_1d( npti, nptidx(1:npti), h_i_1d(1:npti), h_i(:,:,jl) ) |
---|
| 631 | CALL tab_2d_1d( npti, nptidx(1:npti), a_i_1d(1:npti), a_i(:,:,jl) ) |
---|
| 632 | CALL tab_2d_1d( npti, nptidx(1:npti), v_i_1d(1:npti), v_i(:,:,jl) ) |
---|
| 633 | ! |
---|
| 634 | DO ji = 1, npti |
---|
| 635 | jdonor(ji,jl) = jl |
---|
| 636 | ! how much of a_i you send in cat sup is somewhat arbitrary |
---|
| 637 | !!clem: these do not work properly after a restart (I do not know why) => not sure it is still true |
---|
| 638 | !! zdaice(ji,jl) = a_i_1d(ji) * ( h_i_1d(ji) - hi_max(jl) + epsi10 ) / h_i_1d(ji) |
---|
| 639 | !! zdvice(ji,jl) = v_i_1d(ji) - ( a_i_1d(ji) - zdaice(ji,jl) ) * ( hi_max(jl) - epsi10 ) |
---|
| 640 | !!clem: these do not work properly after a restart (I do not know why) => not sure it is still true |
---|
| 641 | !! zdaice(ji,jl) = a_i_1d(ji) |
---|
| 642 | !! zdvice(ji,jl) = v_i_1d(ji) |
---|
| 643 | !!clem: these are from UCL and work ok |
---|
| 644 | zdaice(ji,jl) = a_i_1d(ji) * 0.5_wp |
---|
| 645 | zdvice(ji,jl) = v_i_1d(ji) - zdaice(ji,jl) * ( hi_max(jl) + hi_max(jl-1) ) * 0.5_wp |
---|
| 646 | END DO |
---|
| 647 | ! |
---|
[8813] | 648 | CALL itd_shiftice( jdonor(1:npti,:), zdaice(1:npti,:), zdvice(1:npti,:) ) ! Shift jl=>jl+1 |
---|
[8586] | 649 | ! Reset shift parameters |
---|
| 650 | jdonor(1:npti,jl) = 0 |
---|
| 651 | zdaice(1:npti,jl) = 0._wp |
---|
| 652 | zdvice(1:npti,jl) = 0._wp |
---|
| 653 | ENDIF |
---|
| 654 | ! |
---|
| 655 | END DO |
---|
| 656 | |
---|
| 657 | ! !----------------------------------------- |
---|
| 658 | DO jl = jpl-1, 1, -1 ! Identify thicknesses that are too small |
---|
| 659 | ! !----------------------------------------- |
---|
| 660 | npti = 0 ; nptidx(:) = 0 |
---|
[13295] | 661 | DO_2D( 1, 1, 1, 1 ) |
---|
[12377] | 662 | 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 |
---|
| 663 | npti = npti + 1 |
---|
| 664 | nptidx( npti ) = (jj - 1) * jpi + ji |
---|
| 665 | ENDIF |
---|
| 666 | END_2D |
---|
[8586] | 667 | ! |
---|
| 668 | IF( npti > 0 ) THEN |
---|
[13618] | 669 | CALL tab_2d_1d( npti, nptidx(1:npti), a_i_1d(1:npti), a_i(:,:,jl+1) ) ! jl+1 is ok |
---|
| 670 | CALL tab_2d_1d( npti, nptidx(1:npti), v_i_1d(1:npti), v_i(:,:,jl+1) ) ! jl+1 is ok |
---|
| 671 | DO ji = 1, npti |
---|
| 672 | jdonor(ji,jl) = jl + 1 |
---|
| 673 | zdaice(ji,jl) = a_i_1d(ji) |
---|
| 674 | zdvice(ji,jl) = v_i_1d(ji) |
---|
| 675 | END DO |
---|
| 676 | ! |
---|
[8813] | 677 | CALL itd_shiftice( jdonor(1:npti,:), zdaice(1:npti,:), zdvice(1:npti,:) ) ! Shift jl+1=>jl |
---|
[8586] | 678 | ! Reset shift parameters |
---|
| 679 | jdonor(1:npti,jl) = 0 |
---|
| 680 | zdaice(1:npti,jl) = 0._wp |
---|
| 681 | zdvice(1:npti,jl) = 0._wp |
---|
| 682 | ENDIF |
---|
| 683 | ! |
---|
| 684 | END DO |
---|
| 685 | ! |
---|
[10994] | 686 | IF( ln_icediachk ) CALL ice_cons_hsm(1, 'iceitd_reb', rdiag_v, rdiag_s, rdiag_t, rdiag_fv, rdiag_fs, rdiag_ft) |
---|
[11536] | 687 | IF( ln_icediachk ) CALL ice_cons2D (1, 'iceitd_reb', diag_v, diag_s, diag_t, diag_fv, diag_fs, diag_ft) |
---|
[10994] | 688 | ! |
---|
[8586] | 689 | END SUBROUTINE ice_itd_reb |
---|
| 690 | |
---|
[8813] | 691 | |
---|
[8586] | 692 | SUBROUTINE ice_itd_init |
---|
| 693 | !!------------------------------------------------------------------ |
---|
| 694 | !! *** ROUTINE ice_itd_init *** |
---|
| 695 | !! |
---|
| 696 | !! ** Purpose : Initializes the ice thickness distribution |
---|
| 697 | !! ** Method : ... |
---|
| 698 | !! ** input : Namelist namitd |
---|
| 699 | !!------------------------------------------------------------------- |
---|
[8813] | 700 | INTEGER :: jl ! dummy loop index |
---|
| 701 | INTEGER :: ios, ioptio ! Local integer output status for namelist read |
---|
[8586] | 702 | REAL(wp) :: zhmax, znum, zden, zalpha ! - - |
---|
[8813] | 703 | ! |
---|
[13472] | 704 | NAMELIST/namitd/ ln_cat_hfn, rn_himean, ln_cat_usr, rn_catbnd, rn_himin, rn_himax |
---|
[8586] | 705 | !!------------------------------------------------------------------ |
---|
| 706 | ! |
---|
| 707 | READ ( numnam_ice_ref, namitd, IOSTAT = ios, ERR = 901) |
---|
[11536] | 708 | 901 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namitd in reference namelist' ) |
---|
[8586] | 709 | READ ( numnam_ice_cfg, namitd, IOSTAT = ios, ERR = 902 ) |
---|
[11536] | 710 | 902 IF( ios > 0 ) CALL ctl_nam ( ios , 'namitd in configuration namelist' ) |
---|
[9169] | 711 | IF(lwm) WRITE( numoni, namitd ) |
---|
[8586] | 712 | ! |
---|
| 713 | IF(lwp) THEN ! control print |
---|
| 714 | WRITE(numout,*) |
---|
| 715 | WRITE(numout,*) 'ice_itd_init: Initialization of ice cat distribution ' |
---|
| 716 | WRITE(numout,*) '~~~~~~~~~~~~' |
---|
| 717 | WRITE(numout,*) ' Namelist namitd: ' |
---|
[8813] | 718 | WRITE(numout,*) ' Ice categories are defined by a function of rn_himean**(-0.05) ln_cat_hfn = ', ln_cat_hfn |
---|
| 719 | WRITE(numout,*) ' mean ice thickness in the domain rn_himean = ', rn_himean |
---|
| 720 | WRITE(numout,*) ' Ice categories are defined by rn_catbnd ln_cat_usr = ', ln_cat_usr |
---|
[13472] | 721 | WRITE(numout,*) ' minimum ice thickness allowed rn_himin = ', rn_himin |
---|
| 722 | WRITE(numout,*) ' maximum ice thickness allowed rn_himax = ', rn_himax |
---|
[8586] | 723 | ENDIF |
---|
| 724 | ! |
---|
| 725 | !-----------------------------------! |
---|
| 726 | ! Thickness categories boundaries ! |
---|
| 727 | !-----------------------------------! |
---|
[8813] | 728 | ! !== set the choice of ice categories ==! |
---|
| 729 | ioptio = 0 |
---|
| 730 | IF( ln_cat_hfn ) THEN ; ioptio = ioptio + 1 ; nice_catbnd = np_cathfn ; ENDIF |
---|
| 731 | IF( ln_cat_usr ) THEN ; ioptio = ioptio + 1 ; nice_catbnd = np_catusr ; ENDIF |
---|
| 732 | IF( ioptio /= 1 ) CALL ctl_stop( 'ice_itd_init: choose one and only one ice categories boundaries' ) |
---|
[8586] | 733 | ! |
---|
[8813] | 734 | SELECT CASE( nice_catbnd ) |
---|
| 735 | ! !------------------------! |
---|
| 736 | CASE( np_cathfn ) ! h^(-alpha) function |
---|
| 737 | ! !------------------------! |
---|
| 738 | zalpha = 0.05_wp |
---|
| 739 | zhmax = 3._wp * rn_himean |
---|
[8966] | 740 | hi_max(0) = 0._wp |
---|
[8813] | 741 | DO jl = 1, jpl |
---|
| 742 | znum = jpl * ( zhmax+1 )**zalpha |
---|
| 743 | zden = REAL( jpl-jl , wp ) * ( zhmax + 1._wp )**zalpha + REAL( jl , wp ) |
---|
| 744 | hi_max(jl) = ( znum / zden )**(1./zalpha) - 1 |
---|
| 745 | END DO |
---|
| 746 | ! !------------------------! |
---|
| 747 | CASE( np_catusr ) ! user defined |
---|
| 748 | ! !------------------------! |
---|
| 749 | DO jl = 0, jpl |
---|
| 750 | hi_max(jl) = rn_catbnd(jl) |
---|
| 751 | END DO |
---|
| 752 | ! |
---|
| 753 | END SELECT |
---|
[8586] | 754 | ! |
---|
| 755 | DO jl = 1, jpl ! mean thickness by category |
---|
| 756 | hi_mean(jl) = ( hi_max(jl) + hi_max(jl-1) ) * 0.5_wp |
---|
| 757 | END DO |
---|
| 758 | ! |
---|
[13472] | 759 | hi_max(jpl) = rn_himax ! set to a big value to ensure that all ice is thinner than hi_max(jpl) |
---|
[8586] | 760 | ! |
---|
| 761 | IF(lwp) WRITE(numout,*) |
---|
| 762 | IF(lwp) WRITE(numout,*) ' ===>>> resulting thickness category boundaries :' |
---|
| 763 | IF(lwp) WRITE(numout,*) ' hi_max(:)= ', hi_max(0:jpl) |
---|
| 764 | ! |
---|
[9421] | 765 | 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') |
---|
| 766 | ! |
---|
[8586] | 767 | END SUBROUTINE ice_itd_init |
---|
| 768 | |
---|
| 769 | #else |
---|
| 770 | !!---------------------------------------------------------------------- |
---|
[9570] | 771 | !! Default option : Empty module NO SI3 sea-ice model |
---|
[8586] | 772 | !!---------------------------------------------------------------------- |
---|
| 773 | #endif |
---|
| 774 | |
---|
| 775 | !!====================================================================== |
---|
| 776 | END MODULE iceitd |
---|