[825] | 1 | MODULE limitd_me |
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| 2 | !!====================================================================== |
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| 3 | !! *** MODULE limitd_me *** |
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[2715] | 4 | !! LIM-3 : Mechanical impact on ice thickness distribution |
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[825] | 5 | !!====================================================================== |
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[1572] | 6 | !! History : LIM ! 2006-02 (M. Vancoppenolle) Original code |
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[4161] | 7 | !! 3.2 ! 2009-07 (M. Vancoppenolle, Y. Aksenov, G. Madec) bug correction in smsw & sfx_mec |
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[2715] | 8 | !! 4.0 ! 2011-02 (G. Madec) dynamical allocation |
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[825] | 9 | !!---------------------------------------------------------------------- |
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[1572] | 10 | #if defined key_lim3 |
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| 11 | !!---------------------------------------------------------------------- |
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[3625] | 12 | !! 'key_lim3' LIM-3 sea-ice model |
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[1572] | 13 | !!---------------------------------------------------------------------- |
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[4161] | 14 | USE par_oce ! ocean parameters |
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| 15 | USE dom_oce ! ocean domain |
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| 16 | USE phycst ! physical constants (ocean directory) |
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| 17 | USE sbc_oce ! surface boundary condition: ocean fields |
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| 18 | USE thd_ice ! LIM thermodynamics |
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| 19 | USE ice ! LIM variables |
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| 20 | USE par_ice ! LIM parameters |
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| 21 | USE dom_ice ! LIM domain |
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| 22 | USE limthd_lac ! LIM |
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| 23 | USE limvar ! LIM |
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| 24 | USE limcons ! LIM |
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| 25 | USE in_out_manager ! I/O manager |
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| 26 | USE lbclnk ! lateral boundary condition - MPP exchanges |
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| 27 | USE lib_mpp ! MPP library |
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| 28 | USE wrk_nemo ! work arrays |
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| 29 | USE prtctl ! Print control |
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| 30 | ! Check budget (Rousset) |
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| 31 | USE iom ! I/O manager |
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| 32 | USE lib_fortran ! glob_sum |
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| 33 | USE limdiahsb |
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| 34 | USE timing ! Timing |
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[921] | 35 | |
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[825] | 36 | IMPLICIT NONE |
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| 37 | PRIVATE |
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| 38 | |
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[2715] | 39 | PUBLIC lim_itd_me ! called by ice_stp |
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| 40 | PUBLIC lim_itd_me_icestrength |
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| 41 | PUBLIC lim_itd_me_init |
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| 42 | PUBLIC lim_itd_me_zapsmall |
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[3294] | 43 | PUBLIC lim_itd_me_alloc ! called by iceini.F90 |
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[825] | 44 | |
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[4333] | 45 | REAL(wp) :: epsi20 = 1.e-20_wp ! constant values |
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[3625] | 46 | REAL(wp) :: epsi10 = 1.e-10_wp ! constant values |
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| 47 | REAL(wp) :: epsi06 = 1.e-06_wp ! constant values |
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[825] | 48 | |
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[921] | 49 | !----------------------------------------------------------------------- |
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| 50 | ! Variables shared among ridging subroutines |
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| 51 | !----------------------------------------------------------------------- |
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[4333] | 52 | REAL(wp), ALLOCATABLE, DIMENSION(:,:) :: asum ! sum of total ice and open water area |
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| 53 | REAL(wp), ALLOCATABLE, DIMENSION(:,:) :: aksum ! ratio of area removed to area ridged |
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| 54 | REAL(wp), ALLOCATABLE, DIMENSION(:,:,:) :: athorn ! participation function; fraction of ridging/ |
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| 55 | ! ! closing associated w/ category n |
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| 56 | REAL(wp), ALLOCATABLE, DIMENSION(:,:,:) :: hrmin ! minimum ridge thickness |
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| 57 | REAL(wp), ALLOCATABLE, DIMENSION(:,:,:) :: hrmax ! maximum ridge thickness |
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| 58 | REAL(wp), ALLOCATABLE, DIMENSION(:,:,:) :: hraft ! thickness of rafted ice |
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| 59 | REAL(wp), ALLOCATABLE, DIMENSION(:,:,:) :: krdg ! mean ridge thickness/thickness of ridging ice |
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| 60 | REAL(wp), ALLOCATABLE, DIMENSION(:,:,:) :: aridge ! participating ice ridging |
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| 61 | REAL(wp), ALLOCATABLE, DIMENSION(:,:,:) :: araft ! participating ice rafting |
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[825] | 62 | |
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[2715] | 63 | REAL(wp), PARAMETER :: krdgmin = 1.1_wp ! min ridge thickness multiplier |
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| 64 | REAL(wp), PARAMETER :: kraft = 2.0_wp ! rafting multipliyer |
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[4333] | 65 | REAL(wp), PARAMETER :: kamax = 1.0_wp ! max of ice area authorized (clem: scheme is not stable if kamax <= 0.99) |
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[825] | 66 | |
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[2715] | 67 | REAL(wp) :: Cp ! |
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[921] | 68 | ! |
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| 69 | !----------------------------------------------------------------------- |
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| 70 | ! Ridging diagnostic arrays for history files |
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| 71 | !----------------------------------------------------------------------- |
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[2715] | 72 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: dardg1dt ! rate of fractional area loss by ridging ice (1/s) |
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| 73 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: dardg2dt ! rate of fractional area gain by new ridges (1/s) |
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| 74 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: dvirdgdt ! rate of ice volume ridged (m/s) |
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| 75 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: opening ! rate of opening due to divergence/shear (1/s) |
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[3625] | 76 | ! |
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[825] | 77 | !!---------------------------------------------------------------------- |
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[2528] | 78 | !! NEMO/LIM3 3.3 , UCL - NEMO Consortium (2010) |
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[1156] | 79 | !! $Id$ |
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[2715] | 80 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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[825] | 81 | !!---------------------------------------------------------------------- |
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[2715] | 82 | CONTAINS |
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[825] | 83 | |
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[2715] | 84 | INTEGER FUNCTION lim_itd_me_alloc() |
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| 85 | !!---------------------------------------------------------------------! |
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| 86 | !! *** ROUTINE lim_itd_me_alloc *** |
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| 87 | !!---------------------------------------------------------------------! |
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| 88 | ALLOCATE( & |
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| 89 | !* Variables shared among ridging subroutines |
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| 90 | & asum (jpi,jpj) , athorn(jpi,jpj,0:jpl) , & |
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| 91 | & aksum(jpi,jpj) , & |
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| 92 | ! |
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| 93 | & hrmin(jpi,jpj,jpl) , hraft(jpi,jpj,jpl) , aridge(jpi,jpj,jpl) , & |
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| 94 | & hrmax(jpi,jpj,jpl) , krdg (jpi,jpj,jpl) , araft (jpi,jpj,jpl) , & |
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| 95 | ! |
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| 96 | !* Ridging diagnostic arrays for history files |
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| 97 | & dardg1dt(jpi,jpj) , dardg2dt(jpi,jpj) , & |
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| 98 | & dvirdgdt(jpi,jpj) , opening(jpi,jpj) , STAT=lim_itd_me_alloc ) |
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| 99 | ! |
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| 100 | IF( lim_itd_me_alloc /= 0 ) CALL ctl_warn( 'lim_itd_me_alloc: failed to allocate arrays' ) |
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| 101 | ! |
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| 102 | END FUNCTION lim_itd_me_alloc |
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[1156] | 103 | |
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[825] | 104 | |
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[2715] | 105 | SUBROUTINE lim_itd_me |
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[921] | 106 | !!---------------------------------------------------------------------! |
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| 107 | !! *** ROUTINE lim_itd_me *** |
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| 108 | !! |
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[2715] | 109 | !! ** Purpose : computes the mechanical redistribution of ice thickness |
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[921] | 110 | !! |
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[2715] | 111 | !! ** Method : Steps : |
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| 112 | !! 1) Thickness categories boundaries, ice / o.w. concentrations |
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| 113 | !! Ridge preparation |
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| 114 | !! 2) Dynamical inputs (closing rate, divu_adv, opning) |
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| 115 | !! 3) Ridging iteration |
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| 116 | !! 4) Ridging diagnostics |
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| 117 | !! 5) Heat, salt and freshwater fluxes |
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| 118 | !! 6) Compute increments of tate variables and come back to old values |
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[921] | 119 | !! |
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[2715] | 120 | !! References : Flato, G. M., and W. D. Hibler III, 1995, JGR, 100, 18,611-18,626. |
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| 121 | !! Hibler, W. D. III, 1980, MWR, 108, 1943-1973, 1980. |
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| 122 | !! Rothrock, D. A., 1975: JGR, 80, 4514-4519. |
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| 123 | !! Thorndike et al., 1975, JGR, 80, 4501-4513. |
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| 124 | !! Bitz et al., JGR, 2001 |
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| 125 | !! Amundrud and Melling, JGR 2005 |
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| 126 | !! Babko et al., JGR 2002 |
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[921] | 127 | !! |
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[1572] | 128 | !! This routine is based on CICE code and authors William H. Lipscomb, |
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| 129 | !! and Elizabeth C. Hunke, LANL are gratefully acknowledged |
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[921] | 130 | !!--------------------------------------------------------------------! |
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[2715] | 131 | INTEGER :: ji, jj, jk, jl ! dummy loop index |
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| 132 | INTEGER :: niter, nitermax = 20 ! local integer |
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[3625] | 133 | LOGICAL :: asum_error ! flag for asum .ne. 1 |
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| 134 | INTEGER :: iterate_ridging ! if true, repeat the ridging |
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| 135 | REAL(wp) :: w1, tmpfac ! local scalar |
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[2715] | 136 | CHARACTER (len = 15) :: fieldid |
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[3294] | 137 | REAL(wp), POINTER, DIMENSION(:,:) :: closing_net ! net rate at which area is removed (1/s) |
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| 138 | ! (ridging ice area - area of new ridges) / dt |
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| 139 | REAL(wp), POINTER, DIMENSION(:,:) :: divu_adv ! divu as implied by transport scheme (1/s) |
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| 140 | REAL(wp), POINTER, DIMENSION(:,:) :: opning ! rate of opening due to divergence/shear |
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| 141 | REAL(wp), POINTER, DIMENSION(:,:) :: closing_gross ! rate at which area removed, not counting area of new ridges |
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| 142 | REAL(wp), POINTER, DIMENSION(:,:) :: msnow_mlt ! mass of snow added to ocean (kg m-2) |
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| 143 | REAL(wp), POINTER, DIMENSION(:,:) :: esnow_mlt ! energy needed to melt snow in ocean (J m-2) |
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| 144 | REAL(wp), POINTER, DIMENSION(:,:) :: vt_i_init, vt_i_final ! ice volume summed over categories |
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[4161] | 145 | REAL(wp) :: zchk_v_i, zchk_smv, zchk_fs, zchk_fw, zchk_v_i_b, zchk_smv_b, zchk_fs_b, zchk_fw_b ! Check conservation (C Rousset) |
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| 146 | REAL(wp) :: zchk_vmin, zchk_amin, zchk_amax ! Check errors (C Rousset) |
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| 147 | ! mass and salt flux (clem) |
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| 148 | REAL(wp), POINTER, DIMENSION(:,:,:) :: zviold, zvsold, zsmvold ! old ice volume... |
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[2715] | 149 | !!----------------------------------------------------------------------------- |
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[4161] | 150 | IF( nn_timing == 1 ) CALL timing_start('limitd_me') |
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[825] | 151 | |
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[3294] | 152 | CALL wrk_alloc( jpi, jpj, closing_net, divu_adv, opning, closing_gross, msnow_mlt, esnow_mlt, vt_i_init, vt_i_final ) |
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[825] | 153 | |
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[4161] | 154 | CALL wrk_alloc( jpi, jpj, jpl, zviold, zvsold, zsmvold ) ! clem |
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| 155 | |
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[2715] | 156 | IF( numit == nstart ) CALL lim_itd_me_init ! Initialization (first time-step only) |
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[825] | 157 | |
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| 158 | IF(ln_ctl) THEN |
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| 159 | CALL prt_ctl(tab2d_1=ato_i , clinfo1=' lim_itd_me: ato_i : ', tab2d_2=at_i , clinfo2=' at_i : ') |
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| 160 | CALL prt_ctl(tab2d_1=divu_i, clinfo1=' lim_itd_me: divu_i : ', tab2d_2=delta_i, clinfo2=' delta_i : ') |
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| 161 | ENDIF |
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| 162 | |
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[4161] | 163 | IF( ln_limdyn ) THEN ! Start ridging and rafting ! |
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| 164 | ! ------------------------------- |
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| 165 | !- check conservation (C Rousset) |
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| 166 | IF (ln_limdiahsb) THEN |
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| 167 | zchk_v_i_b = glob_sum( SUM( v_i(:,:,:), dim=3 ) * area(:,:) * tms(:,:) ) |
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| 168 | zchk_smv_b = glob_sum( SUM( smv_i(:,:,:), dim=3 ) * area(:,:) * tms(:,:) ) |
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| 169 | zchk_fw_b = glob_sum( rdm_ice(:,:) * area(:,:) * tms(:,:) ) |
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| 170 | zchk_fs_b = glob_sum( ( sfx_bri(:,:) + sfx_thd(:,:) + sfx_res(:,:) + sfx_mec(:,:) ) * area(:,:) * tms(:,:) ) |
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| 171 | ENDIF |
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| 172 | !- check conservation (C Rousset) |
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| 173 | ! ------------------------------- |
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| 174 | |
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| 175 | ! mass and salt flux init (clem) |
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| 176 | zviold(:,:,:) = v_i(:,:,:) |
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| 177 | zvsold(:,:,:) = v_s(:,:,:) |
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| 178 | zsmvold(:,:,:) = smv_i(:,:,:) |
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| 179 | |
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[921] | 180 | !-----------------------------------------------------------------------------! |
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| 181 | ! 1) Thickness categories boundaries, ice / o.w. concentrations, init_ons |
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| 182 | !-----------------------------------------------------------------------------! |
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[3625] | 183 | Cp = 0.5 * grav * (rau0-rhoic) * rhoic / rau0 ! proport const for PE |
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| 184 | ! |
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| 185 | CALL lim_itd_me_ridgeprep ! prepare ridging |
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| 186 | ! |
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[2715] | 187 | IF( con_i) CALL lim_column_sum( jpl, v_i, vt_i_init ) ! conservation check |
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[825] | 188 | |
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[2715] | 189 | DO jj = 1, jpj ! Initialize arrays. |
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[825] | 190 | DO ji = 1, jpi |
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[2715] | 191 | msnow_mlt(ji,jj) = 0._wp |
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| 192 | esnow_mlt(ji,jj) = 0._wp |
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[3625] | 193 | dardg1dt (ji,jj) = 0._wp |
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| 194 | dardg2dt (ji,jj) = 0._wp |
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| 195 | dvirdgdt (ji,jj) = 0._wp |
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| 196 | opening (ji,jj) = 0._wp |
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[825] | 197 | |
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[921] | 198 | !-----------------------------------------------------------------------------! |
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| 199 | ! 2) Dynamical inputs (closing rate, divu_adv, opning) |
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| 200 | !-----------------------------------------------------------------------------! |
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| 201 | ! |
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| 202 | ! 2.1 closing_net |
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| 203 | !----------------- |
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| 204 | ! Compute the net rate of closing due to convergence |
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| 205 | ! and shear, based on Flato and Hibler (1995). |
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| 206 | ! |
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| 207 | ! The energy dissipation rate is equal to the net closing rate |
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| 208 | ! times the ice strength. |
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| 209 | ! |
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| 210 | ! NOTE: The NET closing rate is equal to the rate that open water |
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| 211 | ! area is removed, plus the rate at which ice area is removed by |
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| 212 | ! ridging, minus the rate at which area is added in new ridges. |
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| 213 | ! The GROSS closing rate is equal to the first two terms (open |
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| 214 | ! water closing and thin ice ridging) without the third term |
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| 215 | ! (thick, newly ridged ice). |
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[825] | 216 | |
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[2715] | 217 | closing_net(ji,jj) = Cs * 0.5 * ( Delta_i(ji,jj) - ABS( divu_i(ji,jj) ) ) - MIN( divu_i(ji,jj), 0._wp ) |
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[825] | 218 | |
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[921] | 219 | ! 2.2 divu_adv |
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| 220 | !-------------- |
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| 221 | ! Compute divu_adv, the divergence rate given by the transport/ |
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| 222 | ! advection scheme, which may not be equal to divu as computed |
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| 223 | ! from the velocity field. |
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| 224 | ! |
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| 225 | ! If divu_adv < 0, make sure the closing rate is large enough |
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| 226 | ! to give asum = 1.0 after ridging. |
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[825] | 227 | |
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[4161] | 228 | divu_adv(ji,jj) = ( kamax - asum(ji,jj) ) * r1_rdtice ! asum found in ridgeprep |
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[825] | 229 | |
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[2715] | 230 | IF( divu_adv(ji,jj) < 0._wp ) closing_net(ji,jj) = MAX( closing_net(ji,jj), -divu_adv(ji,jj) ) |
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[825] | 231 | |
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[921] | 232 | ! 2.3 opning |
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| 233 | !------------ |
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[3625] | 234 | ! Compute the (non-negative) opening rate that will give asum = 1.0 after ridging. |
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[921] | 235 | opning(ji,jj) = closing_net(ji,jj) + divu_adv(ji,jj) |
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[825] | 236 | END DO |
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| 237 | END DO |
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| 238 | |
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[921] | 239 | !-----------------------------------------------------------------------------! |
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| 240 | ! 3) Ridging iteration |
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| 241 | !-----------------------------------------------------------------------------! |
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[2715] | 242 | niter = 1 ! iteration counter |
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[869] | 243 | iterate_ridging = 1 |
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[825] | 244 | |
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[869] | 245 | DO WHILE ( iterate_ridging > 0 .AND. niter < nitermax ) |
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[825] | 246 | |
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[921] | 247 | DO jj = 1, jpj |
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| 248 | DO ji = 1, jpi |
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[825] | 249 | |
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[921] | 250 | ! 3.2 closing_gross |
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| 251 | !-----------------------------------------------------------------------------! |
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| 252 | ! Based on the ITD of ridging and ridged ice, convert the net |
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| 253 | ! closing rate to a gross closing rate. |
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| 254 | ! NOTE: 0 < aksum <= 1 |
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| 255 | closing_gross(ji,jj) = closing_net(ji,jj) / aksum(ji,jj) |
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[825] | 256 | |
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[921] | 257 | ! correction to closing rate and opening if closing rate is excessive |
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| 258 | !--------------------------------------------------------------------- |
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| 259 | ! Reduce the closing rate if more than 100% of the open water |
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| 260 | ! would be removed. Reduce the opening rate proportionately. |
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[4333] | 261 | IF ( ato_i(ji,jj) .GT. epsi10 .AND. athorn(ji,jj,0) .GT. 0.0 ) THEN |
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[921] | 262 | w1 = athorn(ji,jj,0) * closing_gross(ji,jj) * rdt_ice |
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| 263 | IF ( w1 .GT. ato_i(ji,jj)) THEN |
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| 264 | tmpfac = ato_i(ji,jj) / w1 |
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| 265 | closing_gross(ji,jj) = closing_gross(ji,jj) * tmpfac |
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| 266 | opning(ji,jj) = opning(ji,jj) * tmpfac |
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| 267 | ENDIF !w1 |
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| 268 | ENDIF !at0i and athorn |
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[825] | 269 | |
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[921] | 270 | END DO ! ji |
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| 271 | END DO ! jj |
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[825] | 272 | |
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[921] | 273 | ! correction to closing rate / opening if excessive ice removal |
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| 274 | !--------------------------------------------------------------- |
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| 275 | ! Reduce the closing rate if more than 100% of any ice category |
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| 276 | ! would be removed. Reduce the opening rate proportionately. |
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[825] | 277 | |
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[921] | 278 | DO jl = 1, jpl |
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| 279 | DO jj = 1, jpj |
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| 280 | DO ji = 1, jpi |
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[4333] | 281 | IF ( a_i(ji,jj,jl) > epsi10 .AND. athorn(ji,jj,jl) > 0._wp )THEN |
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[921] | 282 | w1 = athorn(ji,jj,jl) * closing_gross(ji,jj) * rdt_ice |
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[3625] | 283 | IF ( w1 > a_i(ji,jj,jl) ) THEN |
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[921] | 284 | tmpfac = a_i(ji,jj,jl) / w1 |
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| 285 | closing_gross(ji,jj) = closing_gross(ji,jj) * tmpfac |
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[2715] | 286 | opning (ji,jj) = opning (ji,jj) * tmpfac |
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[921] | 287 | ENDIF |
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[825] | 288 | ENDIF |
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[921] | 289 | END DO !ji |
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| 290 | END DO ! jj |
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| 291 | END DO !jl |
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[825] | 292 | |
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[921] | 293 | ! 3.3 Redistribute area, volume, and energy. |
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| 294 | !-----------------------------------------------------------------------------! |
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[825] | 295 | |
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[2715] | 296 | CALL lim_itd_me_ridgeshift( opning, closing_gross, msnow_mlt, esnow_mlt ) |
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[825] | 297 | |
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[921] | 298 | ! 3.4 Compute total area of ice plus open water after ridging. |
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| 299 | !-----------------------------------------------------------------------------! |
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[825] | 300 | |
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[921] | 301 | CALL lim_itd_me_asumr |
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[825] | 302 | |
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[921] | 303 | ! 3.5 Do we keep on iterating ??? |
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| 304 | !-----------------------------------------------------------------------------! |
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| 305 | ! Check whether asum = 1. If not (because the closing and opening |
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| 306 | ! rates were reduced above), ridge again with new rates. |
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[825] | 307 | |
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[921] | 308 | iterate_ridging = 0 |
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[825] | 309 | |
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[921] | 310 | DO jj = 1, jpj |
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| 311 | DO ji = 1, jpi |
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[4333] | 312 | IF (ABS(asum(ji,jj) - kamax ) .LT. epsi10) THEN |
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[2715] | 313 | closing_net(ji,jj) = 0._wp |
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| 314 | opning (ji,jj) = 0._wp |
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[921] | 315 | ELSE |
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| 316 | iterate_ridging = 1 |
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[4161] | 317 | divu_adv (ji,jj) = ( kamax - asum(ji,jj) ) * r1_rdtice |
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[2715] | 318 | closing_net(ji,jj) = MAX( 0._wp, -divu_adv(ji,jj) ) |
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| 319 | opning (ji,jj) = MAX( 0._wp, divu_adv(ji,jj) ) |
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[921] | 320 | ENDIF |
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| 321 | END DO |
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[825] | 322 | END DO |
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| 323 | |
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[2715] | 324 | IF( lk_mpp ) CALL mpp_max( iterate_ridging ) |
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[869] | 325 | |
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[921] | 326 | ! Repeat if necessary. |
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| 327 | ! NOTE: If strength smoothing is turned on, the ridging must be |
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| 328 | ! iterated globally because of the boundary update in the |
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| 329 | ! smoothing. |
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[825] | 330 | |
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[921] | 331 | niter = niter + 1 |
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[825] | 332 | |
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[2715] | 333 | IF( iterate_ridging == 1 ) THEN |
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[3625] | 334 | IF( niter > nitermax ) THEN |
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[921] | 335 | WRITE(numout,*) ' ALERTE : non-converging ridging scheme ' |
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| 336 | WRITE(numout,*) ' niter, iterate_ridging ', niter, iterate_ridging |
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| 337 | ENDIF |
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| 338 | CALL lim_itd_me_ridgeprep |
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[825] | 339 | ENDIF |
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| 340 | |
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| 341 | END DO !! on the do while over iter |
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| 342 | |
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[921] | 343 | !-----------------------------------------------------------------------------! |
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| 344 | ! 4) Ridging diagnostics |
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| 345 | !-----------------------------------------------------------------------------! |
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| 346 | ! Convert ridging rate diagnostics to correct units. |
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| 347 | ! Update fresh water and heat fluxes due to snow melt. |
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[825] | 348 | |
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| 349 | asum_error = .false. |
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| 350 | |
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| 351 | DO jj = 1, jpj |
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| 352 | DO ji = 1, jpi |
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| 353 | |
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[4333] | 354 | IF(ABS(asum(ji,jj) - kamax) > epsi10 ) asum_error = .true. |
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[825] | 355 | |
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[3625] | 356 | dardg1dt(ji,jj) = dardg1dt(ji,jj) * r1_rdtice |
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| 357 | dardg2dt(ji,jj) = dardg2dt(ji,jj) * r1_rdtice |
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| 358 | dvirdgdt(ji,jj) = dvirdgdt(ji,jj) * r1_rdtice |
---|
| 359 | opening (ji,jj) = opening (ji,jj) * r1_rdtice |
---|
[825] | 360 | |
---|
[921] | 361 | !-----------------------------------------------------------------------------! |
---|
| 362 | ! 5) Heat, salt and freshwater fluxes |
---|
| 363 | !-----------------------------------------------------------------------------! |
---|
[3625] | 364 | fmmec(ji,jj) = fmmec(ji,jj) + msnow_mlt(ji,jj) * r1_rdtice ! fresh water source for ocean |
---|
| 365 | fhmec(ji,jj) = fhmec(ji,jj) + esnow_mlt(ji,jj) * r1_rdtice ! heat sink for ocean |
---|
[825] | 366 | |
---|
| 367 | END DO |
---|
| 368 | END DO |
---|
| 369 | |
---|
| 370 | ! Check if there is a ridging error |
---|
| 371 | DO jj = 1, jpj |
---|
| 372 | DO ji = 1, jpi |
---|
[4333] | 373 | IF( ABS( asum(ji,jj) - kamax) > epsi10 ) THEN ! there is a bug |
---|
[825] | 374 | WRITE(numout,*) ' ' |
---|
| 375 | WRITE(numout,*) ' ALERTE : Ridging error: total area = ', asum(ji,jj) |
---|
| 376 | WRITE(numout,*) ' limitd_me ' |
---|
| 377 | WRITE(numout,*) ' POINT : ', ji, jj |
---|
| 378 | WRITE(numout,*) ' jpl, a_i, athorn ' |
---|
| 379 | WRITE(numout,*) 0, ato_i(ji,jj), athorn(ji,jj,0) |
---|
| 380 | DO jl = 1, jpl |
---|
| 381 | WRITE(numout,*) jl, a_i(ji,jj,jl), athorn(ji,jj,jl) |
---|
| 382 | END DO |
---|
| 383 | ENDIF ! asum |
---|
| 384 | |
---|
| 385 | END DO !ji |
---|
| 386 | END DO !jj |
---|
| 387 | |
---|
| 388 | ! Conservation check |
---|
[834] | 389 | IF ( con_i ) THEN |
---|
| 390 | CALL lim_column_sum (jpl, v_i, vt_i_final) |
---|
| 391 | fieldid = ' v_i : limitd_me ' |
---|
| 392 | CALL lim_cons_check (vt_i_init, vt_i_final, 1.0e-6, fieldid) |
---|
| 393 | ENDIF |
---|
[825] | 394 | |
---|
[921] | 395 | !-----------------------------------------------------------------------------! |
---|
[4333] | 396 | ! 6) Updating state variables and trend terms (done in limupdate) |
---|
[921] | 397 | !-----------------------------------------------------------------------------! |
---|
[834] | 398 | CALL lim_var_glo2eqv |
---|
[825] | 399 | CALL lim_itd_me_zapsmall |
---|
| 400 | |
---|
[4161] | 401 | !-------------------------------- |
---|
| 402 | ! Update mass/salt fluxes (clem) |
---|
| 403 | !-------------------------------- |
---|
| 404 | DO jl = 1, jpl |
---|
| 405 | DO jj = 1, jpj |
---|
| 406 | DO ji = 1, jpi |
---|
| 407 | diag_dyn_gr(ji,jj) = diag_dyn_gr(ji,jj) + ( v_i(ji,jj,jl) - zviold(ji,jj,jl) ) * r1_rdtice |
---|
| 408 | rdm_ice(ji,jj) = rdm_ice(ji,jj) + ( v_i(ji,jj,jl) - zviold(ji,jj,jl) ) * rhoic |
---|
| 409 | rdm_snw(ji,jj) = rdm_snw(ji,jj) + ( v_s(ji,jj,jl) - zvsold(ji,jj,jl) ) * rhosn |
---|
| 410 | sfx_mec(ji,jj) = sfx_mec(ji,jj) - ( smv_i(ji,jj,jl) - zsmvold(ji,jj,jl) ) * rhoic * r1_rdtice |
---|
| 411 | END DO |
---|
| 412 | END DO |
---|
| 413 | END DO |
---|
| 414 | |
---|
[863] | 415 | IF(ln_ctl) THEN ! Control print |
---|
[867] | 416 | CALL prt_ctl_info(' ') |
---|
| 417 | CALL prt_ctl_info(' - Cell values : ') |
---|
| 418 | CALL prt_ctl_info(' ~~~~~~~~~~~~~ ') |
---|
[863] | 419 | CALL prt_ctl(tab2d_1=area , clinfo1=' lim_itd_me : cell area :') |
---|
| 420 | CALL prt_ctl(tab2d_1=at_i , clinfo1=' lim_itd_me : at_i :') |
---|
| 421 | CALL prt_ctl(tab2d_1=vt_i , clinfo1=' lim_itd_me : vt_i :') |
---|
| 422 | CALL prt_ctl(tab2d_1=vt_s , clinfo1=' lim_itd_me : vt_s :') |
---|
| 423 | DO jl = 1, jpl |
---|
[867] | 424 | CALL prt_ctl_info(' ') |
---|
[863] | 425 | CALL prt_ctl_info(' - Category : ', ivar1=jl) |
---|
| 426 | CALL prt_ctl_info(' ~~~~~~~~~~') |
---|
| 427 | CALL prt_ctl(tab2d_1=a_i (:,:,jl) , clinfo1= ' lim_itd_me : a_i : ') |
---|
| 428 | CALL prt_ctl(tab2d_1=ht_i (:,:,jl) , clinfo1= ' lim_itd_me : ht_i : ') |
---|
| 429 | CALL prt_ctl(tab2d_1=ht_s (:,:,jl) , clinfo1= ' lim_itd_me : ht_s : ') |
---|
| 430 | CALL prt_ctl(tab2d_1=v_i (:,:,jl) , clinfo1= ' lim_itd_me : v_i : ') |
---|
| 431 | CALL prt_ctl(tab2d_1=v_s (:,:,jl) , clinfo1= ' lim_itd_me : v_s : ') |
---|
| 432 | CALL prt_ctl(tab2d_1=e_s (:,:,1,jl) , clinfo1= ' lim_itd_me : e_s : ') |
---|
| 433 | CALL prt_ctl(tab2d_1=t_su (:,:,jl) , clinfo1= ' lim_itd_me : t_su : ') |
---|
| 434 | CALL prt_ctl(tab2d_1=t_s (:,:,1,jl) , clinfo1= ' lim_itd_me : t_snow : ') |
---|
| 435 | CALL prt_ctl(tab2d_1=sm_i (:,:,jl) , clinfo1= ' lim_itd_me : sm_i : ') |
---|
| 436 | CALL prt_ctl(tab2d_1=smv_i (:,:,jl) , clinfo1= ' lim_itd_me : smv_i : ') |
---|
| 437 | DO jk = 1, nlay_i |
---|
[867] | 438 | CALL prt_ctl_info(' ') |
---|
[863] | 439 | CALL prt_ctl_info(' - Layer : ', ivar1=jk) |
---|
| 440 | CALL prt_ctl_info(' ~~~~~~~') |
---|
| 441 | CALL prt_ctl(tab2d_1=t_i(:,:,jk,jl) , clinfo1= ' lim_itd_me : t_i : ') |
---|
| 442 | CALL prt_ctl(tab2d_1=e_i(:,:,jk,jl) , clinfo1= ' lim_itd_me : e_i : ') |
---|
| 443 | END DO |
---|
| 444 | END DO |
---|
| 445 | ENDIF |
---|
[825] | 446 | |
---|
[4161] | 447 | ! ------------------------------- |
---|
| 448 | !- check conservation (C Rousset) |
---|
| 449 | IF (ln_limdiahsb) THEN |
---|
| 450 | zchk_fs = glob_sum( ( sfx_bri(:,:) + sfx_thd(:,:) + sfx_res(:,:) + sfx_mec(:,:) ) * area(:,:) * tms(:,:) ) - zchk_fs_b |
---|
| 451 | zchk_fw = glob_sum( rdm_ice(:,:) * area(:,:) * tms(:,:) ) - zchk_fw_b |
---|
| 452 | |
---|
| 453 | zchk_v_i = ( glob_sum( SUM( v_i(:,:,:), dim=3 ) * area(:,:) * tms(:,:) ) - zchk_v_i_b - ( zchk_fw / rhoic ) ) * r1_rdtice |
---|
| 454 | zchk_smv = ( glob_sum( SUM( smv_i(:,:,:), dim=3 ) * area(:,:) * tms(:,:) ) - zchk_smv_b ) * r1_rdtice + ( zchk_fs / rhoic ) |
---|
| 455 | |
---|
| 456 | zchk_vmin = glob_min(v_i) |
---|
| 457 | zchk_amax = glob_max(SUM(a_i,dim=3)) |
---|
| 458 | zchk_amin = glob_min(a_i) |
---|
| 459 | |
---|
| 460 | IF(lwp) THEN |
---|
| 461 | IF ( ABS( zchk_v_i ) > 1.e-5 ) WRITE(numout,*) 'violation volume [m3/day] (limitd_me) = ',(zchk_v_i * rday) |
---|
| 462 | IF ( ABS( zchk_smv ) > 1.e-4 ) WRITE(numout,*) 'violation saline [psu*m3/day] (limitd_me) = ',(zchk_smv * rday) |
---|
| 463 | IF ( zchk_vmin < 0. ) WRITE(numout,*) 'violation v_i<0 [mm] (limitd_me) = ',(zchk_vmin * 1.e-3) |
---|
| 464 | IF ( zchk_amax > kamax+epsi10 ) WRITE(numout,*) 'violation a_i>amax (limitd_me) = ',zchk_amax |
---|
| 465 | IF ( zchk_amin < 0. ) WRITE(numout,*) 'violation a_i<0 (limitd_me) = ',zchk_amin |
---|
| 466 | ENDIF |
---|
| 467 | ENDIF |
---|
| 468 | !- check conservation (C Rousset) |
---|
| 469 | ! ------------------------------- |
---|
| 470 | |
---|
| 471 | ENDIF ! ln_limdyn=.true. |
---|
[3625] | 472 | ! |
---|
[3294] | 473 | CALL wrk_dealloc( jpi, jpj, closing_net, divu_adv, opning, closing_gross, msnow_mlt, esnow_mlt, vt_i_init, vt_i_final ) |
---|
[2715] | 474 | ! |
---|
[4161] | 475 | CALL wrk_dealloc( jpi, jpj, jpl, zviold, zvsold, zsmvold ) ! clem |
---|
| 476 | ! |
---|
| 477 | IF( nn_timing == 1 ) CALL timing_stop('limitd_me') |
---|
[825] | 478 | END SUBROUTINE lim_itd_me |
---|
| 479 | |
---|
| 480 | |
---|
[2715] | 481 | SUBROUTINE lim_itd_me_icestrength( kstrngth ) |
---|
[921] | 482 | !!---------------------------------------------------------------------- |
---|
| 483 | !! *** ROUTINE lim_itd_me_icestrength *** |
---|
| 484 | !! |
---|
[2715] | 485 | !! ** Purpose : computes ice strength used in dynamics routines of ice thickness |
---|
[921] | 486 | !! |
---|
[2715] | 487 | !! ** Method : Compute the strength of the ice pack, defined as the energy (J m-2) |
---|
| 488 | !! dissipated per unit area removed from the ice pack under compression, |
---|
| 489 | !! and assumed proportional to the change in potential energy caused |
---|
| 490 | !! by ridging. Note that only Hibler's formulation is stable and that |
---|
| 491 | !! ice strength has to be smoothed |
---|
| 492 | !! |
---|
[921] | 493 | !! ** Inputs / Ouputs : kstrngth (what kind of ice strength we are using) |
---|
| 494 | !!---------------------------------------------------------------------- |
---|
[2715] | 495 | INTEGER, INTENT(in) :: kstrngth ! = 1 for Rothrock formulation, 0 for Hibler (1979) |
---|
[921] | 496 | |
---|
[2715] | 497 | INTEGER :: ji,jj, jl ! dummy loop indices |
---|
| 498 | INTEGER :: ksmooth ! smoothing the resistance to deformation |
---|
| 499 | INTEGER :: numts_rm ! number of time steps for the P smoothing |
---|
| 500 | REAL(wp) :: hi, zw1, zp, zdummy, zzc, z1_3 ! local scalars |
---|
[3294] | 501 | REAL(wp), POINTER, DIMENSION(:,:) :: zworka ! temporary array used here |
---|
[2715] | 502 | !!---------------------------------------------------------------------- |
---|
[825] | 503 | |
---|
[3294] | 504 | CALL wrk_alloc( jpi, jpj, zworka ) |
---|
[825] | 505 | |
---|
[921] | 506 | !------------------------------------------------------------------------------! |
---|
| 507 | ! 1) Initialize |
---|
| 508 | !------------------------------------------------------------------------------! |
---|
[2715] | 509 | strength(:,:) = 0._wp |
---|
[825] | 510 | |
---|
[921] | 511 | !------------------------------------------------------------------------------! |
---|
| 512 | ! 2) Compute thickness distribution of ridging and ridged ice |
---|
| 513 | !------------------------------------------------------------------------------! |
---|
[825] | 514 | CALL lim_itd_me_ridgeprep |
---|
| 515 | |
---|
[921] | 516 | !------------------------------------------------------------------------------! |
---|
| 517 | ! 3) Rothrock(1975)'s method |
---|
| 518 | !------------------------------------------------------------------------------! |
---|
[2715] | 519 | IF( kstrngth == 1 ) THEN |
---|
| 520 | z1_3 = 1._wp / 3._wp |
---|
[825] | 521 | DO jl = 1, jpl |
---|
| 522 | DO jj= 1, jpj |
---|
| 523 | DO ji = 1, jpi |
---|
[2715] | 524 | ! |
---|
[4333] | 525 | IF( a_i(ji,jj,jl) > epsi10 .AND. athorn(ji,jj,jl) > 0._wp ) THEN |
---|
[825] | 526 | hi = v_i(ji,jj,jl) / a_i(ji,jj,jl) |
---|
| 527 | !---------------------------- |
---|
| 528 | ! PE loss from deforming ice |
---|
| 529 | !---------------------------- |
---|
[2715] | 530 | strength(ji,jj) = strength(ji,jj) - athorn(ji,jj,jl) * hi * hi |
---|
[825] | 531 | |
---|
| 532 | !-------------------------- |
---|
| 533 | ! PE gain from rafting ice |
---|
| 534 | !-------------------------- |
---|
[2715] | 535 | strength(ji,jj) = strength(ji,jj) + 2._wp * araft(ji,jj,jl) * hi * hi |
---|
[825] | 536 | |
---|
| 537 | !---------------------------- |
---|
| 538 | ! PE gain from ridging ice |
---|
| 539 | !---------------------------- |
---|
[2715] | 540 | strength(ji,jj) = strength(ji,jj) + aridge(ji,jj,jl)/krdg(ji,jj,jl) & |
---|
| 541 | * z1_3 * (hrmax(ji,jj,jl)**3 - hrmin(ji,jj,jl)**3) / ( hrmax(ji,jj,jl)-hrmin(ji,jj,jl) ) |
---|
| 542 | !!gm Optimization: (a**3-b**3)/(a-b) = a*a+ab+b*b ==> less costly operations even if a**3 is replaced by a*a*a... |
---|
[4333] | 543 | ENDIF ! aicen > epsi10 |
---|
[2715] | 544 | ! |
---|
[825] | 545 | END DO ! ji |
---|
| 546 | END DO !jj |
---|
| 547 | END DO !jl |
---|
| 548 | |
---|
[2715] | 549 | zzc = Cf * Cp ! where Cp = (g/2)*(rhow-rhoi)*(rhoi/rhow) and Cf accounts for frictional dissipation |
---|
| 550 | strength(:,:) = zzc * strength(:,:) / aksum(:,:) |
---|
[921] | 551 | |
---|
[825] | 552 | ksmooth = 1 |
---|
| 553 | |
---|
[921] | 554 | !------------------------------------------------------------------------------! |
---|
| 555 | ! 4) Hibler (1979)' method |
---|
| 556 | !------------------------------------------------------------------------------! |
---|
[825] | 557 | ELSE ! kstrngth ne 1: Hibler (1979) form |
---|
[2715] | 558 | ! |
---|
| 559 | strength(:,:) = Pstar * vt_i(:,:) * EXP( - C_rhg * ( 1._wp - at_i(:,:) ) ) |
---|
| 560 | ! |
---|
[825] | 561 | ksmooth = 1 |
---|
[2715] | 562 | ! |
---|
[825] | 563 | ENDIF ! kstrngth |
---|
| 564 | |
---|
[921] | 565 | ! |
---|
| 566 | !------------------------------------------------------------------------------! |
---|
| 567 | ! 5) Impact of brine volume |
---|
| 568 | !------------------------------------------------------------------------------! |
---|
| 569 | ! CAN BE REMOVED |
---|
| 570 | ! |
---|
[2715] | 571 | IF ( brinstren_swi == 1 ) THEN |
---|
[825] | 572 | |
---|
| 573 | DO jj = 1, jpj |
---|
| 574 | DO ji = 1, jpi |
---|
| 575 | IF ( bv_i(ji,jj) .GT. 0.0 ) THEN |
---|
| 576 | zdummy = MIN ( bv_i(ji,jj), 0.10 ) * MIN( bv_i(ji,jj), 0.10 ) |
---|
| 577 | ELSE |
---|
| 578 | zdummy = 0.0 |
---|
| 579 | ENDIF |
---|
| 580 | strength(ji,jj) = strength(ji,jj) * exp(-5.88*SQRT(MAX(bv_i(ji,jj),0.0))) |
---|
| 581 | END DO ! j |
---|
| 582 | END DO ! i |
---|
| 583 | |
---|
| 584 | ENDIF |
---|
| 585 | |
---|
[921] | 586 | ! |
---|
| 587 | !------------------------------------------------------------------------------! |
---|
| 588 | ! 6) Smoothing ice strength |
---|
| 589 | !------------------------------------------------------------------------------! |
---|
| 590 | ! |
---|
[825] | 591 | !------------------- |
---|
| 592 | ! Spatial smoothing |
---|
| 593 | !------------------- |
---|
[2715] | 594 | IF ( ksmooth == 1 ) THEN |
---|
[825] | 595 | |
---|
| 596 | CALL lbc_lnk( strength, 'T', 1. ) |
---|
| 597 | |
---|
[869] | 598 | DO jj = 2, jpj - 1 |
---|
| 599 | DO ji = 2, jpi - 1 |
---|
[4333] | 600 | IF ( ( asum(ji,jj) - ato_i(ji,jj) ) .GT. epsi10) THEN ! ice is |
---|
[921] | 601 | ! present |
---|
[825] | 602 | zworka(ji,jj) = 4.0 * strength(ji,jj) & |
---|
[3625] | 603 | & + strength(ji-1,jj) * tms(ji-1,jj) & |
---|
| 604 | & + strength(ji+1,jj) * tms(ji+1,jj) & |
---|
| 605 | & + strength(ji,jj-1) * tms(ji,jj-1) & |
---|
| 606 | & + strength(ji,jj+1) * tms(ji,jj+1) |
---|
[825] | 607 | |
---|
[2715] | 608 | zw1 = 4.0 + tms(ji-1,jj) + tms(ji+1,jj) + tms(ji,jj-1) + tms(ji,jj+1) |
---|
[825] | 609 | zworka(ji,jj) = zworka(ji,jj) / zw1 |
---|
| 610 | ELSE |
---|
[3625] | 611 | zworka(ji,jj) = 0._wp |
---|
[825] | 612 | ENDIF |
---|
| 613 | END DO |
---|
| 614 | END DO |
---|
| 615 | |
---|
[869] | 616 | DO jj = 2, jpj - 1 |
---|
| 617 | DO ji = 2, jpi - 1 |
---|
[825] | 618 | strength(ji,jj) = zworka(ji,jj) |
---|
| 619 | END DO |
---|
| 620 | END DO |
---|
[869] | 621 | CALL lbc_lnk( strength, 'T', 1. ) |
---|
[825] | 622 | |
---|
| 623 | ENDIF ! ksmooth |
---|
| 624 | |
---|
| 625 | !-------------------- |
---|
| 626 | ! Temporal smoothing |
---|
| 627 | !-------------------- |
---|
[2715] | 628 | IF ( numit == nit000 + nn_fsbc - 1 ) THEN |
---|
[825] | 629 | strp1(:,:) = 0.0 |
---|
| 630 | strp2(:,:) = 0.0 |
---|
| 631 | ENDIF |
---|
| 632 | |
---|
[2715] | 633 | IF ( ksmooth == 2 ) THEN |
---|
[921] | 634 | |
---|
| 635 | |
---|
[825] | 636 | CALL lbc_lnk( strength, 'T', 1. ) |
---|
[921] | 637 | |
---|
[825] | 638 | DO jj = 1, jpj - 1 |
---|
| 639 | DO ji = 1, jpi - 1 |
---|
[4333] | 640 | IF ( ( asum(ji,jj) - ato_i(ji,jj) ) .GT. epsi10) THEN ! ice is present |
---|
[825] | 641 | numts_rm = 1 ! number of time steps for the running mean |
---|
| 642 | IF ( strp1(ji,jj) .GT. 0.0 ) numts_rm = numts_rm + 1 |
---|
| 643 | IF ( strp2(ji,jj) .GT. 0.0 ) numts_rm = numts_rm + 1 |
---|
[2715] | 644 | zp = ( strength(ji,jj) + strp1(ji,jj) + strp2(ji,jj) ) / numts_rm |
---|
[825] | 645 | strp2(ji,jj) = strp1(ji,jj) |
---|
| 646 | strp1(ji,jj) = strength(ji,jj) |
---|
| 647 | strength(ji,jj) = zp |
---|
| 648 | |
---|
| 649 | ENDIF |
---|
| 650 | END DO |
---|
| 651 | END DO |
---|
| 652 | |
---|
| 653 | ENDIF ! ksmooth |
---|
[921] | 654 | |
---|
[2715] | 655 | CALL lbc_lnk( strength, 'T', 1. ) ! Boundary conditions |
---|
[825] | 656 | |
---|
[3294] | 657 | CALL wrk_dealloc( jpi, jpj, zworka ) |
---|
[2715] | 658 | ! |
---|
[921] | 659 | END SUBROUTINE lim_itd_me_icestrength |
---|
[825] | 660 | |
---|
| 661 | |
---|
[2715] | 662 | SUBROUTINE lim_itd_me_ridgeprep |
---|
[921] | 663 | !!---------------------------------------------------------------------! |
---|
| 664 | !! *** ROUTINE lim_itd_me_ridgeprep *** |
---|
| 665 | !! |
---|
[2715] | 666 | !! ** Purpose : preparation for ridging and strength calculations |
---|
[921] | 667 | !! |
---|
[2715] | 668 | !! ** Method : Compute the thickness distribution of the ice and open water |
---|
| 669 | !! participating in ridging and of the resulting ridges. |
---|
[921] | 670 | !!---------------------------------------------------------------------! |
---|
[2715] | 671 | INTEGER :: ji,jj, jl ! dummy loop indices |
---|
| 672 | INTEGER :: krdg_index ! |
---|
| 673 | REAL(wp) :: Gstari, astari, hi, hrmean, zdummy ! local scalar |
---|
[3294] | 674 | REAL(wp), POINTER, DIMENSION(:,:) :: zworka ! temporary array used here |
---|
| 675 | REAL(wp), POINTER, DIMENSION(:,:,:) :: Gsum ! Gsum(n) = sum of areas in categories 0 to n |
---|
| 676 | !------------------------------------------------------------------------------! |
---|
[825] | 677 | |
---|
[3294] | 678 | CALL wrk_alloc( jpi,jpj, zworka ) |
---|
| 679 | CALL wrk_alloc( jpi,jpj,jpl+2, Gsum, kkstart = -1 ) |
---|
[825] | 680 | |
---|
| 681 | Gstari = 1.0/Gstar |
---|
| 682 | astari = 1.0/astar |
---|
| 683 | aksum(:,:) = 0.0 |
---|
| 684 | athorn(:,:,:) = 0.0 |
---|
| 685 | aridge(:,:,:) = 0.0 |
---|
| 686 | araft (:,:,:) = 0.0 |
---|
| 687 | hrmin(:,:,:) = 0.0 |
---|
| 688 | hrmax(:,:,:) = 0.0 |
---|
| 689 | hraft(:,:,:) = 0.0 |
---|
| 690 | krdg (:,:,:) = 1.0 |
---|
| 691 | |
---|
[921] | 692 | ! ! Zero out categories with very small areas |
---|
[825] | 693 | CALL lim_itd_me_zapsmall |
---|
| 694 | |
---|
[921] | 695 | !------------------------------------------------------------------------------! |
---|
| 696 | ! 1) Participation function |
---|
| 697 | !------------------------------------------------------------------------------! |
---|
[825] | 698 | |
---|
| 699 | ! Compute total area of ice plus open water. |
---|
| 700 | CALL lim_itd_me_asumr |
---|
| 701 | ! This is in general not equal to one |
---|
| 702 | ! because of divergence during transport |
---|
| 703 | |
---|
| 704 | ! Compute cumulative thickness distribution function |
---|
| 705 | ! Compute the cumulative thickness distribution function Gsum, |
---|
| 706 | ! where Gsum(n) is the fractional area in categories 0 to n. |
---|
| 707 | ! initial value (in h = 0) equals open water area |
---|
| 708 | |
---|
[2715] | 709 | Gsum(:,:,-1) = 0._wp |
---|
[825] | 710 | |
---|
| 711 | DO jj = 1, jpj |
---|
| 712 | DO ji = 1, jpi |
---|
[4333] | 713 | IF( ato_i(ji,jj) > epsi10 ) THEN ; Gsum(ji,jj,0) = ato_i(ji,jj) |
---|
[2715] | 714 | ELSE ; Gsum(ji,jj,0) = 0._wp |
---|
[825] | 715 | ENDIF |
---|
| 716 | END DO |
---|
| 717 | END DO |
---|
| 718 | |
---|
| 719 | ! for each value of h, you have to add ice concentration then |
---|
| 720 | DO jl = 1, jpl |
---|
| 721 | DO jj = 1, jpj |
---|
| 722 | DO ji = 1, jpi |
---|
[4333] | 723 | IF( a_i(ji,jj,jl) .GT. epsi10 ) THEN ; Gsum(ji,jj,jl) = Gsum(ji,jj,jl-1) + a_i(ji,jj,jl) |
---|
[2715] | 724 | ELSE ; Gsum(ji,jj,jl) = Gsum(ji,jj,jl-1) |
---|
[825] | 725 | ENDIF |
---|
| 726 | END DO |
---|
| 727 | END DO |
---|
| 728 | END DO |
---|
| 729 | |
---|
| 730 | ! Normalize the cumulative distribution to 1 |
---|
[2715] | 731 | zworka(:,:) = 1._wp / Gsum(:,:,jpl) |
---|
[825] | 732 | DO jl = 0, jpl |
---|
[2715] | 733 | Gsum(:,:,jl) = Gsum(:,:,jl) * zworka(:,:) |
---|
[825] | 734 | END DO |
---|
| 735 | |
---|
[921] | 736 | ! 1.3 Compute participation function a(h) = b(h).g(h) (athorn) |
---|
| 737 | !-------------------------------------------------------------------------------------------------- |
---|
| 738 | ! Compute the participation function athorn; this is analogous to |
---|
| 739 | ! a(h) = b(h)g(h) as defined in Thorndike et al. (1975). |
---|
| 740 | ! area lost from category n due to ridging/closing |
---|
| 741 | ! athorn(n) = total area lost due to ridging/closing |
---|
| 742 | ! assume b(h) = (2/Gstar) * (1 - G(h)/Gstar). |
---|
| 743 | ! |
---|
| 744 | ! The expressions for athorn are found by integrating b(h)g(h) between |
---|
| 745 | ! the category boundaries. |
---|
| 746 | !----------------------------------------------------------------- |
---|
[825] | 747 | |
---|
| 748 | krdg_index = 1 |
---|
| 749 | |
---|
[2715] | 750 | IF( krdg_index == 0 ) THEN !--- Linear formulation (Thorndike et al., 1975) |
---|
| 751 | DO jl = 0, ice_cat_bounds(1,2) ! only undeformed ice participates |
---|
[921] | 752 | DO jj = 1, jpj |
---|
| 753 | DO ji = 1, jpi |
---|
[2715] | 754 | IF( Gsum(ji,jj,jl) < Gstar) THEN |
---|
[921] | 755 | athorn(ji,jj,jl) = Gstari * (Gsum(ji,jj,jl)-Gsum(ji,jj,jl-1)) * & |
---|
| 756 | (2.0 - (Gsum(ji,jj,jl-1)+Gsum(ji,jj,jl))*Gstari) |
---|
| 757 | ELSEIF (Gsum(ji,jj,jl-1) < Gstar) THEN |
---|
| 758 | athorn(ji,jj,jl) = Gstari * (Gstar-Gsum(ji,jj,jl-1)) * & |
---|
| 759 | (2.0 - (Gsum(ji,jj,jl-1)+Gstar)*Gstari) |
---|
| 760 | ELSE |
---|
| 761 | athorn(ji,jj,jl) = 0.0 |
---|
| 762 | ENDIF |
---|
| 763 | END DO ! ji |
---|
| 764 | END DO ! jj |
---|
| 765 | END DO ! jl |
---|
[825] | 766 | |
---|
[2715] | 767 | ELSE !--- Exponential, more stable formulation (Lipscomb et al, 2007) |
---|
| 768 | ! |
---|
| 769 | zdummy = 1._wp / ( 1._wp - EXP(-astari) ) ! precompute exponential terms using Gsum as a work array |
---|
[825] | 770 | |
---|
[921] | 771 | DO jl = -1, jpl |
---|
[2715] | 772 | Gsum(:,:,jl) = EXP( -Gsum(:,:,jl) * astari ) * zdummy |
---|
[921] | 773 | END DO !jl |
---|
| 774 | DO jl = 0, ice_cat_bounds(1,2) |
---|
[2715] | 775 | athorn(:,:,jl) = Gsum(:,:,jl-1) - Gsum(:,:,jl) |
---|
| 776 | END DO |
---|
| 777 | ! |
---|
[825] | 778 | ENDIF ! krdg_index |
---|
| 779 | |
---|
[2715] | 780 | IF( raftswi == 1 ) THEN ! Ridging and rafting ice participation functions |
---|
| 781 | ! |
---|
[825] | 782 | DO jl = 1, jpl |
---|
| 783 | DO jj = 1, jpj |
---|
| 784 | DO ji = 1, jpi |
---|
[2715] | 785 | IF ( athorn(ji,jj,jl) .GT. 0._wp ) THEN |
---|
| 786 | !!gm TANH( -X ) = - TANH( X ) so can be computed only 1 time.... |
---|
| 787 | aridge(ji,jj,jl) = ( TANH ( Craft * ( ht_i(ji,jj,jl) - hparmeter ) ) + 1.0 ) * 0.5 * athorn(ji,jj,jl) |
---|
| 788 | araft (ji,jj,jl) = ( TANH ( -Craft * ( ht_i(ji,jj,jl) - hparmeter ) ) + 1.0 ) * 0.5 * athorn(ji,jj,jl) |
---|
| 789 | IF ( araft(ji,jj,jl) < epsi06 ) araft(ji,jj,jl) = 0._wp |
---|
| 790 | aridge(ji,jj,jl) = MAX( athorn(ji,jj,jl) - araft(ji,jj,jl), 0.0 ) |
---|
[825] | 791 | ENDIF ! athorn |
---|
| 792 | END DO ! ji |
---|
| 793 | END DO ! jj |
---|
| 794 | END DO ! jl |
---|
| 795 | |
---|
| 796 | ELSE ! raftswi = 0 |
---|
[2715] | 797 | ! |
---|
[825] | 798 | DO jl = 1, jpl |
---|
[2715] | 799 | aridge(:,:,jl) = athorn(:,:,jl) |
---|
[825] | 800 | END DO |
---|
[2715] | 801 | ! |
---|
[825] | 802 | ENDIF |
---|
| 803 | |
---|
[2715] | 804 | IF ( raftswi == 1 ) THEN |
---|
[825] | 805 | |
---|
[4333] | 806 | IF( MAXVAL(aridge + araft - athorn(:,:,1:jpl)) .GT. epsi10 ) THEN |
---|
[921] | 807 | DO jl = 1, jpl |
---|
| 808 | DO jj = 1, jpj |
---|
| 809 | DO ji = 1, jpi |
---|
[4333] | 810 | IF ( aridge(ji,jj,jl) + araft(ji,jj,jl) - athorn(ji,jj,jl) .GT. epsi10 ) THEN |
---|
[921] | 811 | WRITE(numout,*) ' ALERTE 96 : wrong participation function ... ' |
---|
| 812 | WRITE(numout,*) ' ji, jj, jl : ', ji, jj, jl |
---|
| 813 | WRITE(numout,*) ' lat, lon : ', gphit(ji,jj), glamt(ji,jj) |
---|
| 814 | WRITE(numout,*) ' aridge : ', aridge(ji,jj,1:jpl) |
---|
| 815 | WRITE(numout,*) ' araft : ', araft(ji,jj,1:jpl) |
---|
| 816 | WRITE(numout,*) ' athorn : ', athorn(ji,jj,1:jpl) |
---|
| 817 | ENDIF |
---|
| 818 | END DO |
---|
[868] | 819 | END DO |
---|
[825] | 820 | END DO |
---|
[921] | 821 | ENDIF |
---|
[825] | 822 | |
---|
| 823 | ENDIF |
---|
| 824 | |
---|
[921] | 825 | !----------------------------------------------------------------- |
---|
| 826 | ! 2) Transfer function |
---|
| 827 | !----------------------------------------------------------------- |
---|
| 828 | ! Compute max and min ridged ice thickness for each ridging category. |
---|
| 829 | ! Assume ridged ice is uniformly distributed between hrmin and hrmax. |
---|
| 830 | ! |
---|
| 831 | ! This parameterization is a modified version of Hibler (1980). |
---|
| 832 | ! The mean ridging thickness, hrmean, is proportional to hi^(0.5) |
---|
| 833 | ! and for very thick ridging ice must be >= krdgmin*hi |
---|
| 834 | ! |
---|
| 835 | ! The minimum ridging thickness, hrmin, is equal to 2*hi |
---|
| 836 | ! (i.e., rafting) and for very thick ridging ice is |
---|
| 837 | ! constrained by hrmin <= (hrmean + hi)/2. |
---|
| 838 | ! |
---|
| 839 | ! The maximum ridging thickness, hrmax, is determined by |
---|
| 840 | ! hrmean and hrmin. |
---|
| 841 | ! |
---|
| 842 | ! These modifications have the effect of reducing the ice strength |
---|
| 843 | ! (relative to the Hibler formulation) when very thick ice is |
---|
| 844 | ! ridging. |
---|
| 845 | ! |
---|
| 846 | ! aksum = net area removed/ total area removed |
---|
| 847 | ! where total area removed = area of ice that ridges |
---|
| 848 | ! net area removed = total area removed - area of new ridges |
---|
| 849 | !----------------------------------------------------------------- |
---|
[825] | 850 | |
---|
| 851 | ! Transfer function |
---|
| 852 | DO jl = 1, jpl !all categories have a specific transfer function |
---|
| 853 | DO jj = 1, jpj |
---|
| 854 | DO ji = 1, jpi |
---|
| 855 | |
---|
[4333] | 856 | IF (a_i(ji,jj,jl) .GT. epsi10 .AND. athorn(ji,jj,jl) .GT. 0.0 ) THEN |
---|
[825] | 857 | hi = v_i(ji,jj,jl) / a_i(ji,jj,jl) |
---|
| 858 | hrmean = MAX(SQRT(Hstar*hi), hi*krdgmin) |
---|
| 859 | hrmin(ji,jj,jl) = MIN(2.0*hi, 0.5*(hrmean + hi)) |
---|
| 860 | hrmax(ji,jj,jl) = 2.0*hrmean - hrmin(ji,jj,jl) |
---|
| 861 | hraft(ji,jj,jl) = kraft*hi |
---|
| 862 | krdg(ji,jj,jl) = hrmean / hi |
---|
| 863 | ELSE |
---|
| 864 | hraft(ji,jj,jl) = 0.0 |
---|
| 865 | hrmin(ji,jj,jl) = 0.0 |
---|
| 866 | hrmax(ji,jj,jl) = 0.0 |
---|
| 867 | krdg (ji,jj,jl) = 1.0 |
---|
| 868 | ENDIF |
---|
| 869 | |
---|
| 870 | END DO ! ji |
---|
| 871 | END DO ! jj |
---|
| 872 | END DO ! jl |
---|
| 873 | |
---|
| 874 | ! Normalization factor : aksum, ensures mass conservation |
---|
[2777] | 875 | aksum(:,:) = athorn(:,:,0) |
---|
[825] | 876 | DO jl = 1, jpl |
---|
[2715] | 877 | aksum(:,:) = aksum(:,:) + aridge(:,:,jl) * ( 1._wp - 1._wp / krdg(:,:,jl) ) & |
---|
| 878 | & + araft (:,:,jl) * ( 1._wp - 1._wp / kraft ) |
---|
[825] | 879 | END DO |
---|
[2715] | 880 | ! |
---|
[3294] | 881 | CALL wrk_dealloc( jpi,jpj, zworka ) |
---|
| 882 | CALL wrk_dealloc( jpi,jpj,jpl+2, Gsum, kkstart = -1 ) |
---|
| 883 | ! |
---|
[921] | 884 | END SUBROUTINE lim_itd_me_ridgeprep |
---|
[825] | 885 | |
---|
| 886 | |
---|
[2715] | 887 | SUBROUTINE lim_itd_me_ridgeshift( opning, closing_gross, msnow_mlt, esnow_mlt ) |
---|
| 888 | !!---------------------------------------------------------------------- |
---|
[921] | 889 | !! *** ROUTINE lim_itd_me_icestrength *** |
---|
| 890 | !! |
---|
[2715] | 891 | !! ** Purpose : shift ridging ice among thickness categories of ice thickness |
---|
[921] | 892 | !! |
---|
[2715] | 893 | !! ** Method : Remove area, volume, and energy from each ridging category |
---|
| 894 | !! and add to thicker ice categories. |
---|
| 895 | !!---------------------------------------------------------------------- |
---|
| 896 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: opning ! rate of opening due to divergence/shear |
---|
| 897 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: closing_gross ! rate at which area removed, excluding area of new ridges |
---|
| 898 | REAL(wp), DIMENSION(jpi,jpj), INTENT(inout) :: msnow_mlt ! mass of snow added to ocean (kg m-2) |
---|
| 899 | REAL(wp), DIMENSION(jpi,jpj), INTENT(inout) :: esnow_mlt ! energy needed to melt snow in ocean (J m-2) |
---|
| 900 | ! |
---|
| 901 | CHARACTER (len=80) :: fieldid ! field identifier |
---|
| 902 | LOGICAL, PARAMETER :: l_conservation_check = .true. ! if true, check conservation (useful for debugging) |
---|
| 903 | ! |
---|
| 904 | LOGICAL :: neg_ato_i ! flag for ato_i(i,j) < -puny |
---|
| 905 | LOGICAL :: large_afrac ! flag for afrac > 1 |
---|
| 906 | LOGICAL :: large_afrft ! flag for afrac > 1 |
---|
| 907 | INTEGER :: ji, jj, jl, jl1, jl2, jk ! dummy loop indices |
---|
| 908 | INTEGER :: ij ! horizontal index, combines i and j loops |
---|
| 909 | INTEGER :: icells ! number of cells with aicen > puny |
---|
[4333] | 910 | REAL(wp) :: zindb, zsrdg2 ! local scalar |
---|
[2715] | 911 | REAL(wp) :: hL, hR, farea, zdummy, zdummy0, ztmelts ! left and right limits of integration |
---|
[825] | 912 | |
---|
[3294] | 913 | INTEGER , POINTER, DIMENSION(:) :: indxi, indxj ! compressed indices |
---|
[825] | 914 | |
---|
[3294] | 915 | REAL(wp), POINTER, DIMENSION(:,:) :: vice_init, vice_final ! ice volume summed over categories |
---|
| 916 | REAL(wp), POINTER, DIMENSION(:,:) :: eice_init, eice_final ! ice energy summed over layers |
---|
[825] | 917 | |
---|
[3294] | 918 | REAL(wp), POINTER, DIMENSION(:,:,:) :: aicen_init, vicen_init ! ice area & volume before ridging |
---|
| 919 | REAL(wp), POINTER, DIMENSION(:,:,:) :: vsnon_init, esnon_init ! snow volume & energy before ridging |
---|
| 920 | REAL(wp), POINTER, DIMENSION(:,:,:) :: smv_i_init, oa_i_init ! ice salinity & age before ridging |
---|
[825] | 921 | |
---|
[3294] | 922 | REAL(wp), POINTER, DIMENSION(:,:,:,:) :: eicen_init ! ice energy before ridging |
---|
[825] | 923 | |
---|
[3294] | 924 | REAL(wp), POINTER, DIMENSION(:,:) :: afrac , fvol ! fraction of category area ridged & new ridge volume going to n2 |
---|
| 925 | REAL(wp), POINTER, DIMENSION(:,:) :: ardg1 , ardg2 ! area of ice ridged & new ridges |
---|
| 926 | REAL(wp), POINTER, DIMENSION(:,:) :: vsrdg , esrdg ! snow volume & energy of ridging ice |
---|
| 927 | REAL(wp), POINTER, DIMENSION(:,:) :: oirdg1, oirdg2 ! areal age content of ridged & rifging ice |
---|
| 928 | REAL(wp), POINTER, DIMENSION(:,:) :: dhr , dhr2 ! hrmax - hrmin & hrmax^2 - hrmin^2 |
---|
[825] | 929 | |
---|
[3294] | 930 | REAL(wp), POINTER, DIMENSION(:,:) :: vrdg1 ! volume of ice ridged |
---|
| 931 | REAL(wp), POINTER, DIMENSION(:,:) :: vrdg2 ! volume of new ridges |
---|
| 932 | REAL(wp), POINTER, DIMENSION(:,:) :: vsw ! volume of seawater trapped into ridges |
---|
| 933 | REAL(wp), POINTER, DIMENSION(:,:) :: srdg1 ! sal*volume of ice ridged |
---|
| 934 | REAL(wp), POINTER, DIMENSION(:,:) :: srdg2 ! sal*volume of new ridges |
---|
| 935 | REAL(wp), POINTER, DIMENSION(:,:) :: smsw ! sal*volume of water trapped into ridges |
---|
[825] | 936 | |
---|
[3294] | 937 | REAL(wp), POINTER, DIMENSION(:,:) :: afrft ! fraction of category area rafted |
---|
| 938 | REAL(wp), POINTER, DIMENSION(:,:) :: arft1 , arft2 ! area of ice rafted and new rafted zone |
---|
| 939 | REAL(wp), POINTER, DIMENSION(:,:) :: virft , vsrft ! ice & snow volume of rafting ice |
---|
| 940 | REAL(wp), POINTER, DIMENSION(:,:) :: esrft , smrft ! snow energy & salinity of rafting ice |
---|
| 941 | REAL(wp), POINTER, DIMENSION(:,:) :: oirft1, oirft2 ! areal age content of rafted ice & rafting ice |
---|
[825] | 942 | |
---|
[3294] | 943 | REAL(wp), POINTER, DIMENSION(:,:,:) :: eirft ! ice energy of rafting ice |
---|
| 944 | REAL(wp), POINTER, DIMENSION(:,:,:) :: erdg1 ! enth*volume of ice ridged |
---|
| 945 | REAL(wp), POINTER, DIMENSION(:,:,:) :: erdg2 ! enth*volume of new ridges |
---|
| 946 | REAL(wp), POINTER, DIMENSION(:,:,:) :: ersw ! enth of water trapped into ridges |
---|
| 947 | !!---------------------------------------------------------------------- |
---|
[825] | 948 | |
---|
[3294] | 949 | CALL wrk_alloc( (jpi+1)*(jpj+1), indxi, indxj ) |
---|
| 950 | CALL wrk_alloc( jpi, jpj, vice_init, vice_final, eice_init, eice_final ) |
---|
| 951 | CALL wrk_alloc( jpi, jpj, afrac, fvol , ardg1, ardg2, vsrdg, esrdg, oirdg1, oirdg2, dhr, dhr2 ) |
---|
| 952 | CALL wrk_alloc( jpi, jpj, vrdg1, vrdg2, vsw , srdg1, srdg2, smsw ) |
---|
| 953 | CALL wrk_alloc( jpi, jpj, afrft, arft1, arft2, virft, vsrft, esrft, smrft, oirft1, oirft2 ) |
---|
| 954 | CALL wrk_alloc( jpi, jpj, jpl, aicen_init, vicen_init, vsnon_init, esnon_init, smv_i_init, oa_i_init ) |
---|
| 955 | CALL wrk_alloc( jpi, jpj, jkmax, eirft, erdg1, erdg2, ersw ) |
---|
| 956 | CALL wrk_alloc( jpi, jpj, jkmax, jpl, eicen_init ) |
---|
| 957 | |
---|
[825] | 958 | ! Conservation check |
---|
[2715] | 959 | eice_init(:,:) = 0._wp |
---|
[825] | 960 | |
---|
[2715] | 961 | IF( con_i ) THEN |
---|
[4333] | 962 | CALL lim_column_sum (jpl, v_i, vice_init ) |
---|
[825] | 963 | CALL lim_column_sum_energy (jpl, nlay_i, e_i, eice_init ) |
---|
[4333] | 964 | DO ji = mi0(jiindx), mi1(jiindx) |
---|
| 965 | DO jj = mj0(jjindx), mj1(jjindx) |
---|
| 966 | WRITE(numout,*) ' vice_init : ', vice_init(ji,jj) |
---|
| 967 | WRITE(numout,*) ' eice_init : ', eice_init(ji,jj) |
---|
| 968 | END DO |
---|
| 969 | END DO |
---|
[825] | 970 | ENDIF |
---|
| 971 | |
---|
[921] | 972 | !------------------------------------------------------------------------------- |
---|
| 973 | ! 1) Compute change in open water area due to closing and opening. |
---|
| 974 | !------------------------------------------------------------------------------- |
---|
[825] | 975 | |
---|
| 976 | neg_ato_i = .false. |
---|
| 977 | |
---|
| 978 | DO jj = 1, jpj |
---|
| 979 | DO ji = 1, jpi |
---|
[2715] | 980 | ato_i(ji,jj) = ato_i(ji,jj) - athorn(ji,jj,0) * closing_gross(ji,jj) * rdt_ice & |
---|
| 981 | & + opning(ji,jj) * rdt_ice |
---|
[4333] | 982 | IF( ato_i(ji,jj) < -epsi10 ) THEN |
---|
[2715] | 983 | neg_ato_i = .TRUE. |
---|
| 984 | ELSEIF( ato_i(ji,jj) < 0._wp ) THEN ! roundoff error |
---|
| 985 | ato_i(ji,jj) = 0._wp |
---|
[825] | 986 | ENDIF |
---|
| 987 | END DO !jj |
---|
| 988 | END DO !ji |
---|
| 989 | |
---|
| 990 | ! if negative open water area alert it |
---|
[2715] | 991 | IF( neg_ato_i ) THEN ! there is a bug |
---|
[825] | 992 | DO jj = 1, jpj |
---|
| 993 | DO ji = 1, jpi |
---|
[4333] | 994 | IF( ato_i(ji,jj) < -epsi10 ) THEN |
---|
[825] | 995 | WRITE(numout,*) '' |
---|
| 996 | WRITE(numout,*) 'Ridging error: ato_i < 0' |
---|
| 997 | WRITE(numout,*) 'ato_i : ', ato_i(ji,jj) |
---|
[4333] | 998 | ENDIF ! ato_i < -epsi10 |
---|
[2715] | 999 | END DO |
---|
| 1000 | END DO |
---|
| 1001 | ENDIF |
---|
[825] | 1002 | |
---|
[921] | 1003 | !----------------------------------------------------------------- |
---|
| 1004 | ! 2) Save initial state variables |
---|
| 1005 | !----------------------------------------------------------------- |
---|
[825] | 1006 | |
---|
| 1007 | DO jl = 1, jpl |
---|
[2715] | 1008 | aicen_init(:,:,jl) = a_i(:,:,jl) |
---|
| 1009 | vicen_init(:,:,jl) = v_i(:,:,jl) |
---|
| 1010 | vsnon_init(:,:,jl) = v_s(:,:,jl) |
---|
| 1011 | ! |
---|
| 1012 | smv_i_init(:,:,jl) = smv_i(:,:,jl) |
---|
| 1013 | oa_i_init (:,:,jl) = oa_i (:,:,jl) |
---|
[825] | 1014 | END DO !jl |
---|
[868] | 1015 | |
---|
| 1016 | esnon_init(:,:,:) = e_s(:,:,1,:) |
---|
[921] | 1017 | |
---|
[825] | 1018 | DO jl = 1, jpl |
---|
| 1019 | DO jk = 1, nlay_i |
---|
[2715] | 1020 | eicen_init(:,:,jk,jl) = e_i(:,:,jk,jl) |
---|
| 1021 | END DO |
---|
| 1022 | END DO |
---|
[825] | 1023 | |
---|
[921] | 1024 | ! |
---|
| 1025 | !----------------------------------------------------------------- |
---|
| 1026 | ! 3) Pump everything from ice which is being ridged / rafted |
---|
| 1027 | !----------------------------------------------------------------- |
---|
| 1028 | ! Compute the area, volume, and energy of ice ridging in each |
---|
| 1029 | ! category, along with the area of the resulting ridge. |
---|
[825] | 1030 | |
---|
| 1031 | DO jl1 = 1, jpl !jl1 describes the ridging category |
---|
| 1032 | |
---|
[921] | 1033 | !------------------------------------------------ |
---|
| 1034 | ! 3.1) Identify grid cells with nonzero ridging |
---|
| 1035 | !------------------------------------------------ |
---|
[825] | 1036 | |
---|
| 1037 | icells = 0 |
---|
| 1038 | DO jj = 1, jpj |
---|
| 1039 | DO ji = 1, jpi |
---|
[4333] | 1040 | IF( aicen_init(ji,jj,jl1) > epsi10 .AND. athorn(ji,jj,jl1) > 0._wp & |
---|
| 1041 | & .AND. closing_gross(ji,jj) > 0._wp ) THEN |
---|
[825] | 1042 | icells = icells + 1 |
---|
| 1043 | indxi(icells) = ji |
---|
| 1044 | indxj(icells) = jj |
---|
| 1045 | ENDIF ! test on a_icen_init |
---|
| 1046 | END DO ! ji |
---|
| 1047 | END DO ! jj |
---|
| 1048 | |
---|
| 1049 | large_afrac = .false. |
---|
| 1050 | large_afrft = .false. |
---|
| 1051 | |
---|
[868] | 1052 | !CDIR NODEP |
---|
[825] | 1053 | DO ij = 1, icells |
---|
| 1054 | ji = indxi(ij) |
---|
| 1055 | jj = indxj(ij) |
---|
| 1056 | |
---|
[921] | 1057 | !-------------------------------------------------------------------- |
---|
| 1058 | ! 3.2) Compute area of ridging ice (ardg1) and of new ridge (ardg2) |
---|
| 1059 | !-------------------------------------------------------------------- |
---|
[825] | 1060 | |
---|
| 1061 | ardg1(ji,jj) = aridge(ji,jj,jl1)*closing_gross(ji,jj)*rdt_ice |
---|
| 1062 | arft1(ji,jj) = araft (ji,jj,jl1)*closing_gross(ji,jj)*rdt_ice |
---|
| 1063 | ardg2(ji,jj) = ardg1(ji,jj) / krdg(ji,jj,jl1) |
---|
| 1064 | arft2(ji,jj) = arft1(ji,jj) / kraft |
---|
| 1065 | |
---|
| 1066 | oirdg1(ji,jj)= aridge(ji,jj,jl1)*closing_gross(ji,jj)*rdt_ice |
---|
| 1067 | oirft1(ji,jj)= araft (ji,jj,jl1)*closing_gross(ji,jj)*rdt_ice |
---|
| 1068 | oirdg2(ji,jj)= oirdg1(ji,jj) / krdg(ji,jj,jl1) |
---|
| 1069 | oirft2(ji,jj)= oirft1(ji,jj) / kraft |
---|
| 1070 | |
---|
[921] | 1071 | !--------------------------------------------------------------- |
---|
| 1072 | ! 3.3) Compute ridging /rafting fractions, make sure afrac <=1 |
---|
| 1073 | !--------------------------------------------------------------- |
---|
[825] | 1074 | |
---|
| 1075 | afrac(ji,jj) = ardg1(ji,jj) / aicen_init(ji,jj,jl1) !ridging |
---|
| 1076 | afrft(ji,jj) = arft1(ji,jj) / aicen_init(ji,jj,jl1) !rafting |
---|
| 1077 | |
---|
[4333] | 1078 | IF (afrac(ji,jj) > kamax + epsi10) THEN !riging |
---|
[825] | 1079 | large_afrac = .true. |
---|
[4161] | 1080 | ELSEIF (afrac(ji,jj) > kamax) THEN ! roundoff error |
---|
| 1081 | afrac(ji,jj) = kamax |
---|
[825] | 1082 | ENDIF |
---|
[4333] | 1083 | IF (afrft(ji,jj) > kamax + epsi10) THEN !rafting |
---|
[825] | 1084 | large_afrft = .true. |
---|
[4161] | 1085 | ELSEIF (afrft(ji,jj) > kamax) THEN ! roundoff error |
---|
| 1086 | afrft(ji,jj) = kamax |
---|
[825] | 1087 | ENDIF |
---|
| 1088 | |
---|
[921] | 1089 | !-------------------------------------------------------------------------- |
---|
| 1090 | ! 3.4) Subtract area, volume, and energy from ridging |
---|
| 1091 | ! / rafting category n1. |
---|
| 1092 | !-------------------------------------------------------------------------- |
---|
[2715] | 1093 | vrdg1(ji,jj) = vicen_init(ji,jj,jl1) * afrac(ji,jj) / ( 1._wp + ridge_por ) |
---|
[825] | 1094 | vrdg2(ji,jj) = vrdg1(ji,jj) * ( 1. + ridge_por ) |
---|
| 1095 | vsw (ji,jj) = vrdg1(ji,jj) * ridge_por |
---|
| 1096 | |
---|
| 1097 | vsrdg(ji,jj) = vsnon_init(ji,jj,jl1) * afrac(ji,jj) |
---|
| 1098 | esrdg(ji,jj) = esnon_init(ji,jj,jl1) * afrac(ji,jj) |
---|
[2715] | 1099 | srdg1(ji,jj) = smv_i_init(ji,jj,jl1) * afrac(ji,jj) / ( 1._wp + ridge_por ) |
---|
[825] | 1100 | srdg2(ji,jj) = smv_i_init(ji,jj,jl1) * afrac(ji,jj) |
---|
| 1101 | |
---|
| 1102 | ! rafting volumes, heat contents ... |
---|
| 1103 | virft(ji,jj) = vicen_init(ji,jj,jl1) * afrft(ji,jj) |
---|
| 1104 | vsrft(ji,jj) = vsnon_init(ji,jj,jl1) * afrft(ji,jj) |
---|
| 1105 | esrft(ji,jj) = esnon_init(ji,jj,jl1) * afrft(ji,jj) |
---|
| 1106 | smrft(ji,jj) = smv_i_init(ji,jj,jl1) * afrft(ji,jj) |
---|
| 1107 | |
---|
| 1108 | ! substract everything |
---|
| 1109 | a_i(ji,jj,jl1) = a_i(ji,jj,jl1) - ardg1(ji,jj) - arft1(ji,jj) |
---|
| 1110 | v_i(ji,jj,jl1) = v_i(ji,jj,jl1) - vrdg1(ji,jj) - virft(ji,jj) |
---|
| 1111 | v_s(ji,jj,jl1) = v_s(ji,jj,jl1) - vsrdg(ji,jj) - vsrft(ji,jj) |
---|
| 1112 | e_s(ji,jj,1,jl1) = e_s(ji,jj,1,jl1) - esrdg(ji,jj) - esrft(ji,jj) |
---|
| 1113 | oa_i(ji,jj,jl1) = oa_i(ji,jj,jl1) - oirdg1(ji,jj) - oirft1(ji,jj) |
---|
| 1114 | smv_i(ji,jj,jl1) = smv_i(ji,jj,jl1) - srdg1(ji,jj) - smrft(ji,jj) |
---|
| 1115 | |
---|
[921] | 1116 | !----------------------------------------------------------------- |
---|
| 1117 | ! 3.5) Compute properties of new ridges |
---|
| 1118 | !----------------------------------------------------------------- |
---|
[825] | 1119 | !------------- |
---|
| 1120 | ! Salinity |
---|
| 1121 | !------------- |
---|
[3625] | 1122 | smsw(ji,jj) = sss_m(ji,jj) * vsw(ji,jj) * rhoic / rau0 ! salt content of seawater frozen in voids |
---|
[1572] | 1123 | |
---|
[1571] | 1124 | zsrdg2 = srdg1(ji,jj) + smsw(ji,jj) ! salt content of new ridge |
---|
[1572] | 1125 | |
---|
[1571] | 1126 | srdg2(ji,jj) = MIN( s_i_max * vrdg2(ji,jj) , zsrdg2 ) ! impose a maximum salinity |
---|
[1572] | 1127 | |
---|
[1571] | 1128 | ! ! excess of salt is flushed into the ocean |
---|
[4161] | 1129 | !sfx_mec(ji,jj) = sfx_mec(ji,jj) + ( zsrdg2 - srdg2(ji,jj) ) * rhoic * r1_rdtice |
---|
[1572] | 1130 | |
---|
[4161] | 1131 | !rdm_ice(ji,jj) = rdm_ice(ji,jj) + vsw(ji,jj) * rhoic ! gurvan: increase in ice volume du to seawater frozen in voids |
---|
| 1132 | |
---|
[921] | 1133 | !------------------------------------ |
---|
| 1134 | ! 3.6 Increment ridging diagnostics |
---|
| 1135 | !------------------------------------ |
---|
[825] | 1136 | |
---|
[921] | 1137 | ! jl1 looping 1-jpl |
---|
| 1138 | ! ij looping 1-icells |
---|
[825] | 1139 | |
---|
[2715] | 1140 | dardg1dt (ji,jj) = dardg1dt(ji,jj) + ardg1(ji,jj) + arft1(ji,jj) |
---|
| 1141 | dardg2dt (ji,jj) = dardg2dt(ji,jj) + ardg2(ji,jj) + arft2(ji,jj) |
---|
[3625] | 1142 | opening (ji,jj) = opening (ji,jj) + opning(ji,jj) * rdt_ice |
---|
[825] | 1143 | |
---|
[2715] | 1144 | IF( con_i ) vice_init(ji,jj) = vice_init(ji,jj) + vrdg2(ji,jj) - vrdg1(ji,jj) |
---|
[825] | 1145 | |
---|
[921] | 1146 | !------------------------------------------ |
---|
| 1147 | ! 3.7 Put the snow somewhere in the ocean |
---|
| 1148 | !------------------------------------------ |
---|
| 1149 | ! Place part of the snow lost by ridging into the ocean. |
---|
| 1150 | ! Note that esnow_mlt < 0; the ocean must cool to melt snow. |
---|
| 1151 | ! If the ocean temp = Tf already, new ice must grow. |
---|
| 1152 | ! During the next time step, thermo_rates will determine whether |
---|
| 1153 | ! the ocean cools or new ice grows. |
---|
| 1154 | ! jl1 looping 1-jpl |
---|
| 1155 | ! ij looping 1-icells |
---|
| 1156 | |
---|
[2715] | 1157 | msnow_mlt(ji,jj) = msnow_mlt(ji,jj) + rhosn*vsrdg(ji,jj)*(1.0-fsnowrdg) & ! rafting included |
---|
| 1158 | & + rhosn*vsrft(ji,jj)*(1.0-fsnowrft) |
---|
[825] | 1159 | |
---|
[2715] | 1160 | esnow_mlt(ji,jj) = esnow_mlt(ji,jj) + esrdg(ji,jj)*(1.0-fsnowrdg) & !rafting included |
---|
| 1161 | & + esrft(ji,jj)*(1.0-fsnowrft) |
---|
[825] | 1162 | |
---|
[921] | 1163 | !----------------------------------------------------------------- |
---|
| 1164 | ! 3.8 Compute quantities used to apportion ice among categories |
---|
| 1165 | ! in the n2 loop below |
---|
| 1166 | !----------------------------------------------------------------- |
---|
[825] | 1167 | |
---|
[921] | 1168 | ! jl1 looping 1-jpl |
---|
| 1169 | ! ij looping 1-icells |
---|
[825] | 1170 | |
---|
[3625] | 1171 | dhr (ji,jj) = hrmax(ji,jj,jl1) - hrmin(ji,jj,jl1) |
---|
[2715] | 1172 | dhr2(ji,jj) = hrmax(ji,jj,jl1) * hrmax(ji,jj,jl1) - hrmin(ji,jj,jl1) * hrmin(ji,jj,jl1) |
---|
[825] | 1173 | |
---|
| 1174 | END DO ! ij |
---|
| 1175 | |
---|
[921] | 1176 | !-------------------------------------------------------------------- |
---|
| 1177 | ! 3.9 Compute ridging ice enthalpy, remove it from ridging ice and |
---|
| 1178 | ! compute ridged ice enthalpy |
---|
| 1179 | !-------------------------------------------------------------------- |
---|
[825] | 1180 | DO jk = 1, nlay_i |
---|
[868] | 1181 | !CDIR NODEP |
---|
[825] | 1182 | DO ij = 1, icells |
---|
[921] | 1183 | ji = indxi(ij) |
---|
| 1184 | jj = indxj(ij) |
---|
| 1185 | ! heat content of ridged ice |
---|
[2715] | 1186 | erdg1(ji,jj,jk) = eicen_init(ji,jj,jk,jl1) * afrac(ji,jj) / ( 1._wp + ridge_por ) |
---|
[921] | 1187 | eirft(ji,jj,jk) = eicen_init(ji,jj,jk,jl1) * afrft(ji,jj) |
---|
[2715] | 1188 | e_i (ji,jj,jk,jl1) = e_i(ji,jj,jk,jl1) - erdg1(ji,jj,jk) - eirft(ji,jj,jk) |
---|
[921] | 1189 | ! sea water heat content |
---|
| 1190 | ztmelts = - tmut * sss_m(ji,jj) + rtt |
---|
| 1191 | ! heat content per unit volume |
---|
| 1192 | zdummy0 = - rcp * ( sst_m(ji,jj) + rt0 - rtt ) * vsw(ji,jj) |
---|
[825] | 1193 | |
---|
[921] | 1194 | ! corrected sea water salinity |
---|
[4333] | 1195 | zindb = MAX( 0._wp , SIGN( 1._wp , vsw(ji,jj) - epsi20 ) ) |
---|
| 1196 | zdummy = zindb * ( srdg1(ji,jj) - srdg2(ji,jj) ) / MAX( ridge_por * vsw(ji,jj), epsi20 ) |
---|
[825] | 1197 | |
---|
[921] | 1198 | ztmelts = - tmut * zdummy + rtt |
---|
| 1199 | ersw(ji,jj,jk) = - rcp * ( ztmelts - rtt ) * vsw(ji,jj) |
---|
[825] | 1200 | |
---|
[921] | 1201 | ! heat flux |
---|
[3625] | 1202 | fheat_mec(ji,jj) = fheat_mec(ji,jj) + ( ersw(ji,jj,jk) - zdummy0 ) * r1_rdtice |
---|
[825] | 1203 | |
---|
[921] | 1204 | ! Correct dimensions to avoid big values |
---|
[2715] | 1205 | ersw(ji,jj,jk) = ersw(ji,jj,jk) * 1.e-09 |
---|
[825] | 1206 | |
---|
[921] | 1207 | ! Mutliply by ice volume, and divide by number of layers to get heat content in 10^9 J |
---|
[4161] | 1208 | ersw (ji,jj,jk) = ersw(ji,jj,jk) * area(ji,jj) * vsw(ji,jj) / REAL( nlay_i ) |
---|
[825] | 1209 | |
---|
[921] | 1210 | erdg2(ji,jj,jk) = erdg1(ji,jj,jk) + ersw(ji,jj,jk) |
---|
[825] | 1211 | END DO ! ij |
---|
| 1212 | END DO !jk |
---|
| 1213 | |
---|
| 1214 | |
---|
[2715] | 1215 | IF( con_i ) THEN |
---|
[825] | 1216 | DO jk = 1, nlay_i |
---|
[868] | 1217 | !CDIR NODEP |
---|
[825] | 1218 | DO ij = 1, icells |
---|
| 1219 | ji = indxi(ij) |
---|
| 1220 | jj = indxj(ij) |
---|
[2715] | 1221 | eice_init(ji,jj) = eice_init(ji,jj) + erdg2(ji,jj,jk) - erdg1(ji,jj,jk) |
---|
[825] | 1222 | END DO ! ij |
---|
| 1223 | END DO !jk |
---|
| 1224 | ENDIF |
---|
| 1225 | |
---|
[2715] | 1226 | IF( large_afrac ) THEN ! there is a bug |
---|
[868] | 1227 | !CDIR NODEP |
---|
[825] | 1228 | DO ij = 1, icells |
---|
| 1229 | ji = indxi(ij) |
---|
| 1230 | jj = indxj(ij) |
---|
[4333] | 1231 | IF( afrac(ji,jj) > kamax + epsi10 ) THEN |
---|
[825] | 1232 | WRITE(numout,*) '' |
---|
| 1233 | WRITE(numout,*) ' ardg > a_i' |
---|
[2715] | 1234 | WRITE(numout,*) ' ardg, aicen_init : ', ardg1(ji,jj), aicen_init(ji,jj,jl1) |
---|
| 1235 | ENDIF |
---|
| 1236 | END DO |
---|
| 1237 | ENDIF |
---|
| 1238 | IF( large_afrft ) THEN ! there is a bug |
---|
[868] | 1239 | !CDIR NODEP |
---|
[825] | 1240 | DO ij = 1, icells |
---|
| 1241 | ji = indxi(ij) |
---|
| 1242 | jj = indxj(ij) |
---|
[4333] | 1243 | IF( afrft(ji,jj) > kamax + epsi10 ) THEN |
---|
[825] | 1244 | WRITE(numout,*) '' |
---|
| 1245 | WRITE(numout,*) ' arft > a_i' |
---|
[2715] | 1246 | WRITE(numout,*) ' arft, aicen_init : ', arft1(ji,jj), aicen_init(ji,jj,jl1) |
---|
| 1247 | ENDIF |
---|
| 1248 | END DO |
---|
| 1249 | ENDIF |
---|
[825] | 1250 | |
---|
[921] | 1251 | !------------------------------------------------------------------------------- |
---|
| 1252 | ! 4) Add area, volume, and energy of new ridge to each category jl2 |
---|
| 1253 | !------------------------------------------------------------------------------- |
---|
| 1254 | ! jl1 looping 1-jpl |
---|
[825] | 1255 | DO jl2 = ice_cat_bounds(1,1), ice_cat_bounds(1,2) |
---|
[921] | 1256 | ! over categories to which ridged ice is transferred |
---|
[868] | 1257 | !CDIR NODEP |
---|
[825] | 1258 | DO ij = 1, icells |
---|
| 1259 | ji = indxi(ij) |
---|
| 1260 | jj = indxj(ij) |
---|
| 1261 | |
---|
| 1262 | ! Compute the fraction of ridged ice area and volume going to |
---|
| 1263 | ! thickness category jl2. |
---|
| 1264 | ! Transfer area, volume, and energy accordingly. |
---|
| 1265 | |
---|
[3625] | 1266 | IF( hrmin(ji,jj,jl1) >= hi_max(jl2) .OR. & |
---|
| 1267 | hrmax(ji,jj,jl1) <= hi_max(jl2-1) ) THEN |
---|
| 1268 | hL = 0._wp |
---|
| 1269 | hR = 0._wp |
---|
[825] | 1270 | ELSE |
---|
[3625] | 1271 | hL = MAX( hrmin(ji,jj,jl1), hi_max(jl2-1) ) |
---|
| 1272 | hR = MIN( hrmax(ji,jj,jl1), hi_max(jl2) ) |
---|
[825] | 1273 | ENDIF |
---|
| 1274 | |
---|
| 1275 | ! fraction of ridged ice area and volume going to n2 |
---|
[3625] | 1276 | farea = ( hR - hL ) / dhr(ji,jj) |
---|
| 1277 | fvol(ji,jj) = ( hR*hR - hL*hL ) / dhr2(ji,jj) |
---|
[825] | 1278 | |
---|
[3625] | 1279 | a_i (ji,jj ,jl2) = a_i (ji,jj ,jl2) + ardg2 (ji,jj) * farea |
---|
| 1280 | v_i (ji,jj ,jl2) = v_i (ji,jj ,jl2) + vrdg2 (ji,jj) * fvol(ji,jj) |
---|
| 1281 | v_s (ji,jj ,jl2) = v_s (ji,jj ,jl2) + vsrdg (ji,jj) * fvol(ji,jj) * fsnowrdg |
---|
[2715] | 1282 | e_s (ji,jj,1,jl2) = e_s (ji,jj,1,jl2) + esrdg (ji,jj) * fvol(ji,jj) * fsnowrdg |
---|
[3625] | 1283 | smv_i(ji,jj ,jl2) = smv_i(ji,jj ,jl2) + srdg2 (ji,jj) * fvol(ji,jj) |
---|
| 1284 | oa_i (ji,jj ,jl2) = oa_i (ji,jj ,jl2) + oirdg2(ji,jj) * farea |
---|
[825] | 1285 | |
---|
| 1286 | END DO ! ij |
---|
| 1287 | |
---|
| 1288 | ! Transfer ice energy to category jl2 by ridging |
---|
| 1289 | DO jk = 1, nlay_i |
---|
[868] | 1290 | !CDIR NODEP |
---|
[825] | 1291 | DO ij = 1, icells |
---|
| 1292 | ji = indxi(ij) |
---|
| 1293 | jj = indxj(ij) |
---|
[2715] | 1294 | e_i(ji,jj,jk,jl2) = e_i(ji,jj,jk,jl2) + fvol(ji,jj)*erdg2(ji,jj,jk) |
---|
| 1295 | END DO |
---|
| 1296 | END DO |
---|
| 1297 | ! |
---|
[825] | 1298 | END DO ! jl2 (new ridges) |
---|
| 1299 | |
---|
[2715] | 1300 | DO jl2 = ice_cat_bounds(1,1), ice_cat_bounds(1,2) |
---|
[825] | 1301 | |
---|
[868] | 1302 | !CDIR NODEP |
---|
[825] | 1303 | DO ij = 1, icells |
---|
| 1304 | ji = indxi(ij) |
---|
| 1305 | jj = indxj(ij) |
---|
| 1306 | ! Compute the fraction of rafted ice area and volume going to |
---|
| 1307 | ! thickness category jl2, transfer area, volume, and energy accordingly. |
---|
[3625] | 1308 | ! |
---|
| 1309 | IF( hraft(ji,jj,jl1) <= hi_max(jl2) .AND. & |
---|
| 1310 | hraft(ji,jj,jl1) > hi_max(jl2-1) ) THEN |
---|
| 1311 | a_i (ji,jj ,jl2) = a_i (ji,jj ,jl2) + arft2 (ji,jj) |
---|
| 1312 | v_i (ji,jj ,jl2) = v_i (ji,jj ,jl2) + virft (ji,jj) |
---|
| 1313 | v_s (ji,jj ,jl2) = v_s (ji,jj ,jl2) + vsrft (ji,jj) * fsnowrft |
---|
| 1314 | e_s (ji,jj,1,jl2) = e_s (ji,jj,1,jl2) + esrft (ji,jj) * fsnowrft |
---|
| 1315 | smv_i(ji,jj ,jl2) = smv_i(ji,jj ,jl2) + smrft (ji,jj) |
---|
| 1316 | oa_i (ji,jj ,jl2) = oa_i (ji,jj ,jl2) + oirft2(ji,jj) |
---|
[825] | 1317 | ENDIF ! hraft |
---|
[3625] | 1318 | ! |
---|
[825] | 1319 | END DO ! ij |
---|
| 1320 | |
---|
| 1321 | ! Transfer rafted ice energy to category jl2 |
---|
| 1322 | DO jk = 1, nlay_i |
---|
[868] | 1323 | !CDIR NODEP |
---|
[825] | 1324 | DO ij = 1, icells |
---|
| 1325 | ji = indxi(ij) |
---|
| 1326 | jj = indxj(ij) |
---|
[3625] | 1327 | IF( hraft(ji,jj,jl1) <= hi_max(jl2) .AND. & |
---|
| 1328 | hraft(ji,jj,jl1) > hi_max(jl2-1) ) THEN |
---|
[2715] | 1329 | e_i(ji,jj,jk,jl2) = e_i(ji,jj,jk,jl2) + eirft(ji,jj,jk) |
---|
[825] | 1330 | ENDIF |
---|
| 1331 | END DO ! ij |
---|
| 1332 | END DO !jk |
---|
| 1333 | |
---|
| 1334 | END DO ! jl2 |
---|
| 1335 | |
---|
| 1336 | END DO ! jl1 (deforming categories) |
---|
| 1337 | |
---|
| 1338 | ! Conservation check |
---|
| 1339 | IF ( con_i ) THEN |
---|
| 1340 | CALL lim_column_sum (jpl, v_i, vice_final) |
---|
| 1341 | fieldid = ' v_i : limitd_me ' |
---|
| 1342 | CALL lim_cons_check (vice_init, vice_final, 1.0e-6, fieldid) |
---|
| 1343 | |
---|
| 1344 | CALL lim_column_sum_energy (jpl, nlay_i, e_i, eice_final ) |
---|
| 1345 | fieldid = ' e_i : limitd_me ' |
---|
| 1346 | CALL lim_cons_check (eice_init, eice_final, 1.0e-2, fieldid) |
---|
[4333] | 1347 | |
---|
| 1348 | DO ji = mi0(jiindx), mi1(jiindx) |
---|
| 1349 | DO jj = mj0(jjindx), mj1(jjindx) |
---|
| 1350 | WRITE(numout,*) ' vice_init : ', vice_init (ji,jj) |
---|
| 1351 | WRITE(numout,*) ' vice_final : ', vice_final(ji,jj) |
---|
| 1352 | WRITE(numout,*) ' eice_init : ', eice_init (ji,jj) |
---|
| 1353 | WRITE(numout,*) ' eice_final : ', eice_final(ji,jj) |
---|
| 1354 | END DO |
---|
| 1355 | END DO |
---|
[825] | 1356 | ENDIF |
---|
[2715] | 1357 | ! |
---|
[3294] | 1358 | CALL wrk_dealloc( (jpi+1)*(jpj+1), indxi, indxj ) |
---|
| 1359 | CALL wrk_dealloc( jpi, jpj, vice_init, vice_final, eice_init, eice_final ) |
---|
| 1360 | CALL wrk_dealloc( jpi, jpj, afrac, fvol , ardg1, ardg2, vsrdg, esrdg, oirdg1, oirdg2, dhr, dhr2 ) |
---|
| 1361 | CALL wrk_dealloc( jpi, jpj, vrdg1, vrdg2, vsw , srdg1, srdg2, smsw ) |
---|
| 1362 | CALL wrk_dealloc( jpi, jpj, afrft, arft1, arft2, virft, vsrft, esrft, smrft, oirft1, oirft2 ) |
---|
| 1363 | CALL wrk_dealloc( jpi, jpj, jpl, aicen_init, vicen_init, vsnon_init, esnon_init, smv_i_init, oa_i_init ) |
---|
| 1364 | CALL wrk_dealloc( jpi, jpj, jkmax, eirft, erdg1, erdg2, ersw ) |
---|
| 1365 | CALL wrk_dealloc( jpi, jpj, jkmax, jpl, eicen_init ) |
---|
| 1366 | ! |
---|
[825] | 1367 | END SUBROUTINE lim_itd_me_ridgeshift |
---|
| 1368 | |
---|
| 1369 | |
---|
[2715] | 1370 | SUBROUTINE lim_itd_me_asumr |
---|
[921] | 1371 | !!----------------------------------------------------------------------------- |
---|
| 1372 | !! *** ROUTINE lim_itd_me_asumr *** |
---|
| 1373 | !! |
---|
[2715] | 1374 | !! ** Purpose : finds total fractional area |
---|
[921] | 1375 | !! |
---|
[2715] | 1376 | !! ** Method : Find the total area of ice plus open water in each grid cell. |
---|
| 1377 | !! This is similar to the aggregate_area subroutine except that the |
---|
| 1378 | !! total area can be greater than 1, so the open water area is |
---|
| 1379 | !! included in the sum instead of being computed as a residual. |
---|
| 1380 | !!----------------------------------------------------------------------------- |
---|
| 1381 | INTEGER :: jl ! dummy loop index |
---|
| 1382 | !!----------------------------------------------------------------------------- |
---|
| 1383 | ! |
---|
| 1384 | asum(:,:) = ato_i(:,:) ! open water |
---|
| 1385 | DO jl = 1, jpl ! ice categories |
---|
| 1386 | asum(:,:) = asum(:,:) + a_i(:,:,jl) |
---|
[825] | 1387 | END DO |
---|
[2715] | 1388 | ! |
---|
[825] | 1389 | END SUBROUTINE lim_itd_me_asumr |
---|
| 1390 | |
---|
| 1391 | |
---|
[2715] | 1392 | SUBROUTINE lim_itd_me_init |
---|
[825] | 1393 | !!------------------------------------------------------------------- |
---|
| 1394 | !! *** ROUTINE lim_itd_me_init *** |
---|
| 1395 | !! |
---|
| 1396 | !! ** Purpose : Physical constants and parameters linked |
---|
| 1397 | !! to the mechanical ice redistribution |
---|
| 1398 | !! |
---|
| 1399 | !! ** Method : Read the namiceitdme namelist |
---|
| 1400 | !! and check the parameters values |
---|
| 1401 | !! called at the first timestep (nit000) |
---|
| 1402 | !! |
---|
| 1403 | !! ** input : Namelist namiceitdme |
---|
| 1404 | !!------------------------------------------------------------------- |
---|
[4298] | 1405 | INTEGER :: ios ! Local integer output status for namelist read |
---|
[825] | 1406 | NAMELIST/namiceitdme/ ridge_scheme_swi, Cs, Cf, fsnowrdg, fsnowrft,& |
---|
[921] | 1407 | Gstar, astar, & |
---|
| 1408 | Hstar, raftswi, hparmeter, Craft, ridge_por, & |
---|
| 1409 | sal_max_ridge, partfun_swi, transfun_swi, & |
---|
| 1410 | brinstren_swi |
---|
[825] | 1411 | !!------------------------------------------------------------------- |
---|
[2715] | 1412 | ! |
---|
[4298] | 1413 | REWIND( numnam_ice_ref ) ! Namelist namicetdme in reference namelist : Ice mechanical ice redistribution |
---|
| 1414 | READ ( numnam_ice_ref, namiceitdme, IOSTAT = ios, ERR = 901) |
---|
| 1415 | 901 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namiceitdme in reference namelist', lwp ) |
---|
| 1416 | |
---|
| 1417 | REWIND( numnam_ice_cfg ) ! Namelist namiceitdme in configuration namelist : Ice mechanical ice redistribution |
---|
| 1418 | READ ( numnam_ice_cfg, namiceitdme, IOSTAT = ios, ERR = 902 ) |
---|
| 1419 | 902 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namiceitdme in configuration namelist', lwp ) |
---|
| 1420 | WRITE ( numoni, namiceitdme ) |
---|
[2715] | 1421 | ! |
---|
| 1422 | IF (lwp) THEN ! control print |
---|
[825] | 1423 | WRITE(numout,*) |
---|
| 1424 | WRITE(numout,*)' lim_itd_me_init : ice parameters for mechanical ice redistribution ' |
---|
| 1425 | WRITE(numout,*)' ~~~~~~~~~~~~~~~' |
---|
| 1426 | WRITE(numout,*)' Switch choosing the ice redistribution scheme ridge_scheme_swi', ridge_scheme_swi |
---|
| 1427 | WRITE(numout,*)' Fraction of shear energy contributing to ridging Cs ', Cs |
---|
| 1428 | WRITE(numout,*)' Ratio of ridging work to PotEner change in ridging Cf ', Cf |
---|
| 1429 | WRITE(numout,*)' Fraction of snow volume conserved during ridging fsnowrdg ', fsnowrdg |
---|
| 1430 | WRITE(numout,*)' Fraction of snow volume conserved during ridging fsnowrft ', fsnowrft |
---|
| 1431 | WRITE(numout,*)' Fraction of total ice coverage contributing to ridging Gstar ', Gstar |
---|
| 1432 | WRITE(numout,*)' Equivalent to G* for an exponential part function astar ', astar |
---|
| 1433 | WRITE(numout,*)' Quantity playing a role in max ridged ice thickness Hstar ', Hstar |
---|
| 1434 | WRITE(numout,*)' Rafting of ice sheets or not raftswi ', raftswi |
---|
| 1435 | WRITE(numout,*)' Parmeter thickness (threshold between ridge-raft) hparmeter ', hparmeter |
---|
| 1436 | WRITE(numout,*)' Rafting hyperbolic tangent coefficient Craft ', Craft |
---|
| 1437 | WRITE(numout,*)' Initial porosity of ridges ridge_por ', ridge_por |
---|
| 1438 | WRITE(numout,*)' Maximum salinity of ridging ice sal_max_ridge ', sal_max_ridge |
---|
| 1439 | WRITE(numout,*)' Switch for part. function (0) linear (1) exponential partfun_swi ', partfun_swi |
---|
| 1440 | WRITE(numout,*)' Switch for tran. function (0) linear (1) exponential transfun_swi ', transfun_swi |
---|
| 1441 | WRITE(numout,*)' Switch for including brine volume in ice strength comp. brinstren_swi ', brinstren_swi |
---|
| 1442 | ENDIF |
---|
[2715] | 1443 | ! |
---|
[825] | 1444 | END SUBROUTINE lim_itd_me_init |
---|
| 1445 | |
---|
| 1446 | |
---|
| 1447 | SUBROUTINE lim_itd_me_zapsmall |
---|
| 1448 | !!------------------------------------------------------------------- |
---|
| 1449 | !! *** ROUTINE lim_itd_me_zapsmall *** |
---|
| 1450 | !! |
---|
| 1451 | !! ** Purpose : Remove too small sea ice areas and correct salt fluxes |
---|
| 1452 | !! |
---|
| 1453 | !! history : |
---|
| 1454 | !! author: William H. Lipscomb, LANL |
---|
| 1455 | !! Nov 2003: Modified by Julie Schramm to conserve volume and energy |
---|
| 1456 | !! Sept 2004: Modified by William Lipscomb; replaced normalize_state with |
---|
| 1457 | !! additions to local freshwater, salt, and heat fluxes |
---|
| 1458 | !! 9.0, LIM3.0 - 02-2006 (M. Vancoppenolle) original code |
---|
| 1459 | !!------------------------------------------------------------------- |
---|
[2715] | 1460 | INTEGER :: ji, jj, jl, jk ! dummy loop indices |
---|
| 1461 | INTEGER :: icells ! number of cells with ice to zap |
---|
[825] | 1462 | |
---|
[3294] | 1463 | REAL(wp), POINTER, DIMENSION(:,:) :: zmask ! 2D workspace |
---|
[4333] | 1464 | REAL(wp) :: zmask_glo |
---|
[2715] | 1465 | !!gm REAL(wp) :: xtmp ! temporary variable |
---|
| 1466 | !!------------------------------------------------------------------- |
---|
[825] | 1467 | |
---|
[3294] | 1468 | CALL wrk_alloc( jpi, jpj, zmask ) |
---|
| 1469 | |
---|
[825] | 1470 | DO jl = 1, jpl |
---|
| 1471 | |
---|
[921] | 1472 | !----------------------------------------------------------------- |
---|
| 1473 | ! Count categories to be zapped. |
---|
| 1474 | ! Abort model in case of negative area. |
---|
| 1475 | !----------------------------------------------------------------- |
---|
| 1476 | icells = 0 |
---|
[4333] | 1477 | zmask(:,:) = 0._wp |
---|
[921] | 1478 | DO jj = 1, jpj |
---|
| 1479 | DO ji = 1, jpi |
---|
[4333] | 1480 | IF( ( a_i(ji,jj,jl) >= -epsi10 .AND. a_i(ji,jj,jl) < 0._wp ) .OR. & |
---|
| 1481 | & ( a_i(ji,jj,jl) > 0._wp .AND. a_i(ji,jj,jl) <= epsi10 ) .OR. & |
---|
| 1482 | & ( v_i(ji,jj,jl) == 0._wp .AND. a_i(ji,jj,jl) > 0._wp ) .OR. & |
---|
| 1483 | & ( v_i(ji,jj,jl) > 0._wp .AND. v_i(ji,jj,jl) <= epsi10 ) ) zmask(ji,jj) = 1._wp |
---|
[921] | 1484 | END DO |
---|
[825] | 1485 | END DO |
---|
[4333] | 1486 | zmask_glo = glob_sum(zmask) |
---|
| 1487 | !IF( ln_nicep .AND. lwp ) WRITE(numout,*) zmask_glo, ' cells of ice zapped in the ocean ' |
---|
[825] | 1488 | |
---|
[921] | 1489 | !----------------------------------------------------------------- |
---|
| 1490 | ! Zap ice energy and use ocean heat to melt ice |
---|
| 1491 | !----------------------------------------------------------------- |
---|
[825] | 1492 | |
---|
| 1493 | DO jk = 1, nlay_i |
---|
[868] | 1494 | DO jj = 1 , jpj |
---|
| 1495 | DO ji = 1 , jpi |
---|
[3625] | 1496 | !!gm xtmp = e_i(ji,jj,jk,jl) / area(ji,jj) * r1_rdtice |
---|
[2715] | 1497 | !!gm xtmp = xtmp * unit_fac |
---|
| 1498 | ! fheat_res(ji,jj) = fheat_res(ji,jj) - xtmp |
---|
[4333] | 1499 | e_i(ji,jj,jk,jl) = e_i(ji,jj,jk,jl) * ( 1._wp - zmask(ji,jj) ) |
---|
[2715] | 1500 | END DO |
---|
| 1501 | END DO |
---|
| 1502 | END DO |
---|
[825] | 1503 | |
---|
[868] | 1504 | DO jj = 1 , jpj |
---|
| 1505 | DO ji = 1 , jpi |
---|
[825] | 1506 | |
---|
[921] | 1507 | !----------------------------------------------------------------- |
---|
| 1508 | ! Zap snow energy and use ocean heat to melt snow |
---|
| 1509 | !----------------------------------------------------------------- |
---|
| 1510 | ! xtmp = esnon(i,j,n) / dt ! < 0 |
---|
| 1511 | ! fhnet(i,j) = fhnet(i,j) + xtmp |
---|
| 1512 | ! fhnet_hist(i,j) = fhnet_hist(i,j) + xtmp |
---|
| 1513 | ! xtmp is greater than 0 |
---|
| 1514 | ! fluxes are positive to the ocean |
---|
| 1515 | ! here the flux has to be negative for the ocean |
---|
[3625] | 1516 | !!gm xtmp = ( rhosn*cpic*( rtt-t_s(ji,jj,1,jl) ) + rhosn*lfus ) * r1_rdtice |
---|
[921] | 1517 | ! fheat_res(ji,jj) = fheat_res(ji,jj) - xtmp |
---|
[825] | 1518 | |
---|
[3625] | 1519 | !!gm xtmp = ( rhosn*cpic*( rtt-t_s(ji,jj,1,jl) ) + rhosn*lfus ) * r1_rdtice !RB ??????? |
---|
[825] | 1520 | |
---|
[4333] | 1521 | t_s(ji,jj,1,jl) = rtt * zmask(ji,jj) + t_s(ji,jj,1,jl) * ( 1._wp - zmask(ji,jj) ) |
---|
[868] | 1522 | |
---|
[921] | 1523 | !----------------------------------------------------------------- |
---|
| 1524 | ! zap ice and snow volume, add water and salt to ocean |
---|
| 1525 | !----------------------------------------------------------------- |
---|
[825] | 1526 | |
---|
[921] | 1527 | ! xtmp = (rhoi*vicen(i,j,n) + rhos*vsnon(i,j,n)) / dt |
---|
[3625] | 1528 | ! sfx_res(ji,jj) = sfx_res(ji,jj) + ( sss_m(ji,jj) ) & |
---|
| 1529 | ! * rhosn * v_s(ji,jj,jl) * r1_rdtice |
---|
| 1530 | ! sfx_res(ji,jj) = sfx_res(ji,jj) + ( sss_m(ji,jj) - sm_i(ji,jj,jl) ) & |
---|
| 1531 | ! * rhoic * v_i(ji,jj,jl) * r1_rdtice |
---|
| 1532 | ! sfx (i,j) = sfx (i,j) + xtmp |
---|
[825] | 1533 | |
---|
[2715] | 1534 | ato_i(ji,jj) = a_i (ji,jj,jl) * zmask(ji,jj) + ato_i(ji,jj) |
---|
[4333] | 1535 | a_i (ji,jj,jl) = a_i (ji,jj,jl) * ( 1._wp - zmask(ji,jj) ) |
---|
| 1536 | v_i (ji,jj,jl) = v_i (ji,jj,jl) * ( 1._wp - zmask(ji,jj) ) |
---|
| 1537 | v_s (ji,jj,jl) = v_s (ji,jj,jl) * ( 1._wp - zmask(ji,jj) ) |
---|
| 1538 | t_su (ji,jj,jl) = t_su (ji,jj,jl) * ( 1._wp - zmask(ji,jj) ) + t_bo(ji,jj) * zmask(ji,jj) |
---|
| 1539 | oa_i (ji,jj,jl) = oa_i (ji,jj,jl) * ( 1._wp - zmask(ji,jj) ) |
---|
| 1540 | smv_i(ji,jj,jl) = smv_i(ji,jj,jl) * ( 1._wp - zmask(ji,jj) ) |
---|
[2715] | 1541 | ! |
---|
| 1542 | END DO |
---|
| 1543 | END DO |
---|
| 1544 | ! |
---|
[825] | 1545 | END DO ! jl |
---|
[2715] | 1546 | ! |
---|
[3294] | 1547 | CALL wrk_dealloc( jpi, jpj, zmask ) |
---|
| 1548 | ! |
---|
[825] | 1549 | END SUBROUTINE lim_itd_me_zapsmall |
---|
| 1550 | |
---|
| 1551 | #else |
---|
[2715] | 1552 | !!---------------------------------------------------------------------- |
---|
| 1553 | !! Default option Empty module NO LIM-3 sea-ice model |
---|
| 1554 | !!---------------------------------------------------------------------- |
---|
[825] | 1555 | CONTAINS |
---|
| 1556 | SUBROUTINE lim_itd_me ! Empty routines |
---|
| 1557 | END SUBROUTINE lim_itd_me |
---|
| 1558 | SUBROUTINE lim_itd_me_icestrength |
---|
| 1559 | END SUBROUTINE lim_itd_me_icestrength |
---|
| 1560 | SUBROUTINE lim_itd_me_sort |
---|
| 1561 | END SUBROUTINE lim_itd_me_sort |
---|
| 1562 | SUBROUTINE lim_itd_me_init |
---|
| 1563 | END SUBROUTINE lim_itd_me_init |
---|
| 1564 | SUBROUTINE lim_itd_me_zapsmall |
---|
| 1565 | END SUBROUTINE lim_itd_me_zapsmall |
---|
| 1566 | #endif |
---|
[2715] | 1567 | !!====================================================================== |
---|
[825] | 1568 | END MODULE limitd_me |
---|