[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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| 7 | !! 3.2 ! 2009-07 (M. Vancoppenolle, Y. Aksenov, G. Madec) bug correction in smsw & fsalt_rpo |
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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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| 12 | !! 'key_lim3' : LIM3 sea-ice model |
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| 13 | !!---------------------------------------------------------------------- |
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[825] | 14 | USE par_oce ! ocean parameters |
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[2715] | 15 | USE dom_oce ! ocean domain |
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[825] | 16 | USE phycst ! physical constants (ocean directory) |
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[2715] | 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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[3186] | 28 | USE wrk_nemo ! work arrays |
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[825] | 29 | USE prtctl ! Print control |
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[921] | 30 | |
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[825] | 31 | IMPLICIT NONE |
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| 32 | PRIVATE |
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| 33 | |
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[2715] | 34 | PUBLIC lim_itd_me ! called by ice_stp |
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| 35 | PUBLIC lim_itd_me_icestrength |
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| 36 | PUBLIC lim_itd_me_init |
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| 37 | PUBLIC lim_itd_me_zapsmall |
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[3148] | 38 | PUBLIC lim_itd_me_alloc ! called by iceini.F90 |
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[825] | 39 | |
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[2715] | 40 | REAL(wp) :: epsi11 = 1.e-11_wp ! constant values |
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| 41 | REAL(wp) :: epsi10 = 1.e-10_wp ! constant values |
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| 42 | REAL(wp) :: epsi06 = 1.e-06_wp ! constant values |
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[825] | 43 | |
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[921] | 44 | !----------------------------------------------------------------------- |
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| 45 | ! Variables shared among ridging subroutines |
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| 46 | !----------------------------------------------------------------------- |
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[2715] | 47 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: asum ! sum of total ice and open water area |
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| 48 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: aksum ! ratio of area removed to area ridged |
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[825] | 49 | |
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[2715] | 50 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: athorn ! participation function; fraction of ridging/ |
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| 51 | ! ! closing associated w/ category n |
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[825] | 52 | |
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[2715] | 53 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: hrmin ! minimum ridge thickness |
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| 54 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: hrmax ! maximum ridge thickness |
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| 55 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: hraft ! thickness of rafted ice |
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| 56 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: krdg ! mean ridge thickness/thickness of ridging ice |
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| 57 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: aridge ! participating ice ridging |
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| 58 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: araft ! participating ice rafting |
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[825] | 59 | |
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[2715] | 60 | REAL(wp), PARAMETER :: krdgmin = 1.1_wp ! min ridge thickness multiplier |
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| 61 | REAL(wp), PARAMETER :: kraft = 2.0_wp ! rafting multipliyer |
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[825] | 62 | |
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[2715] | 63 | REAL(wp) :: Cp ! |
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[921] | 64 | ! |
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| 65 | !----------------------------------------------------------------------- |
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| 66 | ! Ridging diagnostic arrays for history files |
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| 67 | !----------------------------------------------------------------------- |
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[2715] | 68 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: dardg1dt ! rate of fractional area loss by ridging ice (1/s) |
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| 69 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: dardg2dt ! rate of fractional area gain by new ridges (1/s) |
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| 70 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: dvirdgdt ! rate of ice volume ridged (m/s) |
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| 71 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: opening ! rate of opening due to divergence/shear (1/s) |
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[825] | 72 | !!---------------------------------------------------------------------- |
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[2528] | 73 | !! NEMO/LIM3 3.3 , UCL - NEMO Consortium (2010) |
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[1156] | 74 | !! $Id$ |
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[2715] | 75 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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[825] | 76 | !!---------------------------------------------------------------------- |
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[2715] | 77 | CONTAINS |
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[825] | 78 | |
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[2715] | 79 | INTEGER FUNCTION lim_itd_me_alloc() |
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| 80 | !!---------------------------------------------------------------------! |
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| 81 | !! *** ROUTINE lim_itd_me_alloc *** |
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| 82 | !!---------------------------------------------------------------------! |
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| 83 | ALLOCATE( & |
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| 84 | !* Variables shared among ridging subroutines |
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| 85 | & asum (jpi,jpj) , athorn(jpi,jpj,0:jpl) , & |
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| 86 | & aksum(jpi,jpj) , & |
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| 87 | ! |
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| 88 | & hrmin(jpi,jpj,jpl) , hraft(jpi,jpj,jpl) , aridge(jpi,jpj,jpl) , & |
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| 89 | & hrmax(jpi,jpj,jpl) , krdg (jpi,jpj,jpl) , araft (jpi,jpj,jpl) , & |
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| 90 | ! |
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| 91 | !* Ridging diagnostic arrays for history files |
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| 92 | & dardg1dt(jpi,jpj) , dardg2dt(jpi,jpj) , & |
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| 93 | & dvirdgdt(jpi,jpj) , opening(jpi,jpj) , STAT=lim_itd_me_alloc ) |
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| 94 | ! |
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| 95 | IF( lim_itd_me_alloc /= 0 ) CALL ctl_warn( 'lim_itd_me_alloc: failed to allocate arrays' ) |
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| 96 | ! |
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| 97 | END FUNCTION lim_itd_me_alloc |
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[1156] | 98 | |
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[825] | 99 | |
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[2715] | 100 | SUBROUTINE lim_itd_me |
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[921] | 101 | !!---------------------------------------------------------------------! |
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| 102 | !! *** ROUTINE lim_itd_me *** |
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| 103 | !! |
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[2715] | 104 | !! ** Purpose : computes the mechanical redistribution of ice thickness |
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[921] | 105 | !! |
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[2715] | 106 | !! ** Method : Steps : |
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| 107 | !! 1) Thickness categories boundaries, ice / o.w. concentrations |
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| 108 | !! Ridge preparation |
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| 109 | !! 2) Dynamical inputs (closing rate, divu_adv, opning) |
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| 110 | !! 3) Ridging iteration |
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| 111 | !! 4) Ridging diagnostics |
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| 112 | !! 5) Heat, salt and freshwater fluxes |
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| 113 | !! 6) Compute increments of tate variables and come back to old values |
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[921] | 114 | !! |
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[2715] | 115 | !! References : Flato, G. M., and W. D. Hibler III, 1995, JGR, 100, 18,611-18,626. |
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| 116 | !! Hibler, W. D. III, 1980, MWR, 108, 1943-1973, 1980. |
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| 117 | !! Rothrock, D. A., 1975: JGR, 80, 4514-4519. |
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| 118 | !! Thorndike et al., 1975, JGR, 80, 4501-4513. |
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| 119 | !! Bitz et al., JGR, 2001 |
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| 120 | !! Amundrud and Melling, JGR 2005 |
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| 121 | !! Babko et al., JGR 2002 |
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[921] | 122 | !! |
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[1572] | 123 | !! This routine is based on CICE code and authors William H. Lipscomb, |
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| 124 | !! and Elizabeth C. Hunke, LANL are gratefully acknowledged |
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[921] | 125 | !!--------------------------------------------------------------------! |
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[2715] | 126 | INTEGER :: ji, jj, jk, jl ! dummy loop index |
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| 127 | INTEGER :: niter, nitermax = 20 ! local integer |
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| 128 | LOGICAL :: asum_error ! flag for asum .ne. 1 |
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| 129 | INTEGER :: iterate_ridging ! if true, repeat the ridging |
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| 130 | REAL(wp) :: w1, tmpfac, dti ! local scalar |
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| 131 | CHARACTER (len = 15) :: fieldid |
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[3148] | 132 | REAL(wp), POINTER, DIMENSION(:,:) :: closing_net ! net rate at which area is removed (1/s) |
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| 133 | ! (ridging ice area - area of new ridges) / dt |
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| 134 | REAL(wp), POINTER, DIMENSION(:,:) :: divu_adv ! divu as implied by transport scheme (1/s) |
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| 135 | REAL(wp), POINTER, DIMENSION(:,:) :: opning ! rate of opening due to divergence/shear |
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| 136 | REAL(wp), POINTER, DIMENSION(:,:) :: closing_gross ! rate at which area removed, not counting area of new ridges |
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| 137 | REAL(wp), POINTER, DIMENSION(:,:) :: msnow_mlt ! mass of snow added to ocean (kg m-2) |
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| 138 | REAL(wp), POINTER, DIMENSION(:,:) :: esnow_mlt ! energy needed to melt snow in ocean (J m-2) |
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| 139 | REAL(wp), POINTER, DIMENSION(:,:) :: vt_i_init, vt_i_final ! ice volume summed over categories |
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[2715] | 140 | !!----------------------------------------------------------------------------- |
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[825] | 141 | |
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[3148] | 142 | 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] | 143 | |
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[2715] | 144 | IF( numit == nstart ) CALL lim_itd_me_init ! Initialization (first time-step only) |
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[825] | 145 | |
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| 146 | IF(ln_ctl) THEN |
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| 147 | CALL prt_ctl(tab2d_1=ato_i , clinfo1=' lim_itd_me: ato_i : ', tab2d_2=at_i , clinfo2=' at_i : ') |
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| 148 | CALL prt_ctl(tab2d_1=divu_i, clinfo1=' lim_itd_me: divu_i : ', tab2d_2=delta_i, clinfo2=' delta_i : ') |
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| 149 | ENDIF |
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| 150 | |
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[921] | 151 | !-----------------------------------------------------------------------------! |
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| 152 | ! 1) Thickness categories boundaries, ice / o.w. concentrations, init_ons |
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| 153 | !-----------------------------------------------------------------------------! |
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| 154 | ! Set hi_max(ncat) to a big value to ensure that all ridged ice |
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| 155 | ! is thinner than hi_max(ncat). |
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[834] | 156 | |
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[862] | 157 | hi_max(jpl) = 999.99 |
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| 158 | |
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[2715] | 159 | Cp = 0.5 * grav * (rau0-rhoic) * rhoic / rau0 ! proport const for PE |
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[834] | 160 | CALL lim_itd_me_ridgeprep ! prepare ridging |
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[825] | 161 | |
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[2715] | 162 | IF( con_i) CALL lim_column_sum( jpl, v_i, vt_i_init ) ! conservation check |
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[825] | 163 | |
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[2715] | 164 | DO jj = 1, jpj ! Initialize arrays. |
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[825] | 165 | DO ji = 1, jpi |
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[2715] | 166 | msnow_mlt(ji,jj) = 0._wp |
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| 167 | esnow_mlt(ji,jj) = 0._wp |
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| 168 | dardg1dt (ji,jj) = 0._wp |
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| 169 | dardg2dt (ji,jj) = 0._wp |
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| 170 | dvirdgdt (ji,jj) = 0._wp |
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| 171 | opening (ji,jj) = 0._wp |
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[825] | 172 | |
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[921] | 173 | !-----------------------------------------------------------------------------! |
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| 174 | ! 2) Dynamical inputs (closing rate, divu_adv, opning) |
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| 175 | !-----------------------------------------------------------------------------! |
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| 176 | ! |
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| 177 | ! 2.1 closing_net |
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| 178 | !----------------- |
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| 179 | ! Compute the net rate of closing due to convergence |
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| 180 | ! and shear, based on Flato and Hibler (1995). |
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| 181 | ! |
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| 182 | ! The energy dissipation rate is equal to the net closing rate |
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| 183 | ! times the ice strength. |
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| 184 | ! |
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| 185 | ! NOTE: The NET closing rate is equal to the rate that open water |
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| 186 | ! area is removed, plus the rate at which ice area is removed by |
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| 187 | ! ridging, minus the rate at which area is added in new ridges. |
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| 188 | ! The GROSS closing rate is equal to the first two terms (open |
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| 189 | ! water closing and thin ice ridging) without the third term |
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| 190 | ! (thick, newly ridged ice). |
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[825] | 191 | |
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[2715] | 192 | 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] | 193 | |
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[921] | 194 | ! 2.2 divu_adv |
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| 195 | !-------------- |
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| 196 | ! Compute divu_adv, the divergence rate given by the transport/ |
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| 197 | ! advection scheme, which may not be equal to divu as computed |
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| 198 | ! from the velocity field. |
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| 199 | ! |
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| 200 | ! If divu_adv < 0, make sure the closing rate is large enough |
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| 201 | ! to give asum = 1.0 after ridging. |
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[825] | 202 | |
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[2715] | 203 | divu_adv(ji,jj) = ( 1._wp - asum(ji,jj) ) / rdt_ice ! asum found in ridgeprep |
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[825] | 204 | |
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[2715] | 205 | 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] | 206 | |
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[921] | 207 | ! 2.3 opning |
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| 208 | !------------ |
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| 209 | ! Compute the (non-negative) opening rate that will give |
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| 210 | ! asum = 1.0 after ridging. |
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| 211 | opning(ji,jj) = closing_net(ji,jj) + divu_adv(ji,jj) |
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[825] | 212 | END DO |
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| 213 | END DO |
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| 214 | |
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[921] | 215 | !-----------------------------------------------------------------------------! |
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| 216 | ! 3) Ridging iteration |
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| 217 | !-----------------------------------------------------------------------------! |
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[2715] | 218 | niter = 1 ! iteration counter |
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[869] | 219 | iterate_ridging = 1 |
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[825] | 220 | |
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[869] | 221 | DO WHILE ( iterate_ridging > 0 .AND. niter < nitermax ) |
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[825] | 222 | |
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[921] | 223 | DO jj = 1, jpj |
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| 224 | DO ji = 1, jpi |
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[825] | 225 | |
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[921] | 226 | ! 3.2 closing_gross |
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| 227 | !-----------------------------------------------------------------------------! |
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| 228 | ! Based on the ITD of ridging and ridged ice, convert the net |
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| 229 | ! closing rate to a gross closing rate. |
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| 230 | ! NOTE: 0 < aksum <= 1 |
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| 231 | closing_gross(ji,jj) = closing_net(ji,jj) / aksum(ji,jj) |
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[825] | 232 | |
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[921] | 233 | ! correction to closing rate and opening if closing rate is excessive |
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| 234 | !--------------------------------------------------------------------- |
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| 235 | ! Reduce the closing rate if more than 100% of the open water |
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| 236 | ! would be removed. Reduce the opening rate proportionately. |
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| 237 | IF ( ato_i(ji,jj) .GT. epsi11 .AND. athorn(ji,jj,0) .GT. 0.0 ) THEN |
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| 238 | w1 = athorn(ji,jj,0) * closing_gross(ji,jj) * rdt_ice |
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| 239 | IF ( w1 .GT. ato_i(ji,jj)) THEN |
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| 240 | tmpfac = ato_i(ji,jj) / w1 |
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| 241 | closing_gross(ji,jj) = closing_gross(ji,jj) * tmpfac |
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| 242 | opning(ji,jj) = opning(ji,jj) * tmpfac |
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| 243 | ENDIF !w1 |
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| 244 | ENDIF !at0i and athorn |
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[825] | 245 | |
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[921] | 246 | END DO ! ji |
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| 247 | END DO ! jj |
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[825] | 248 | |
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[921] | 249 | ! correction to closing rate / opening if excessive ice removal |
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| 250 | !--------------------------------------------------------------- |
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| 251 | ! Reduce the closing rate if more than 100% of any ice category |
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| 252 | ! would be removed. Reduce the opening rate proportionately. |
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[825] | 253 | |
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[921] | 254 | DO jl = 1, jpl |
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| 255 | DO jj = 1, jpj |
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| 256 | DO ji = 1, jpi |
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[2715] | 257 | IF ( a_i(ji,jj,jl) > epsi11 .AND. athorn(ji,jj,jl) > 0._wp )THEN |
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[921] | 258 | w1 = athorn(ji,jj,jl) * closing_gross(ji,jj) * rdt_ice |
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[2715] | 259 | IF ( w1 > a_i(ji,jj,jl) ) THEN |
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[921] | 260 | tmpfac = a_i(ji,jj,jl) / w1 |
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| 261 | closing_gross(ji,jj) = closing_gross(ji,jj) * tmpfac |
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[2715] | 262 | opning (ji,jj) = opning (ji,jj) * tmpfac |
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[921] | 263 | ENDIF |
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[825] | 264 | ENDIF |
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[921] | 265 | END DO !ji |
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| 266 | END DO ! jj |
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| 267 | END DO !jl |
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[825] | 268 | |
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[921] | 269 | ! 3.3 Redistribute area, volume, and energy. |
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| 270 | !-----------------------------------------------------------------------------! |
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[825] | 271 | |
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[2715] | 272 | CALL lim_itd_me_ridgeshift( opning, closing_gross, msnow_mlt, esnow_mlt ) |
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[825] | 273 | |
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[921] | 274 | ! 3.4 Compute total area of ice plus open water after ridging. |
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| 275 | !-----------------------------------------------------------------------------! |
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[825] | 276 | |
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[921] | 277 | CALL lim_itd_me_asumr |
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[825] | 278 | |
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[921] | 279 | ! 3.5 Do we keep on iterating ??? |
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| 280 | !-----------------------------------------------------------------------------! |
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| 281 | ! Check whether asum = 1. If not (because the closing and opening |
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| 282 | ! rates were reduced above), ridge again with new rates. |
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[825] | 283 | |
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[921] | 284 | iterate_ridging = 0 |
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[825] | 285 | |
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[921] | 286 | DO jj = 1, jpj |
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| 287 | DO ji = 1, jpi |
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| 288 | IF (ABS(asum(ji,jj) - 1.0) .LT. epsi11) THEN |
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[2715] | 289 | closing_net(ji,jj) = 0._wp |
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| 290 | opning (ji,jj) = 0._wp |
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[921] | 291 | ELSE |
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| 292 | iterate_ridging = 1 |
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[2715] | 293 | divu_adv (ji,jj) = (1._wp - asum(ji,jj)) / rdt_ice |
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| 294 | closing_net(ji,jj) = MAX( 0._wp, -divu_adv(ji,jj) ) |
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| 295 | opning (ji,jj) = MAX( 0._wp, divu_adv(ji,jj) ) |
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[921] | 296 | ENDIF |
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| 297 | END DO |
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[825] | 298 | END DO |
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| 299 | |
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[2715] | 300 | IF( lk_mpp ) CALL mpp_max( iterate_ridging ) |
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[869] | 301 | |
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[921] | 302 | ! Repeat if necessary. |
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| 303 | ! NOTE: If strength smoothing is turned on, the ridging must be |
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| 304 | ! iterated globally because of the boundary update in the |
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| 305 | ! smoothing. |
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[825] | 306 | |
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[921] | 307 | niter = niter + 1 |
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[825] | 308 | |
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[2715] | 309 | IF( iterate_ridging == 1 ) THEN |
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| 310 | IF( niter .GT. nitermax ) THEN |
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[921] | 311 | WRITE(numout,*) ' ALERTE : non-converging ridging scheme ' |
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| 312 | WRITE(numout,*) ' niter, iterate_ridging ', niter, iterate_ridging |
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| 313 | ENDIF |
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| 314 | CALL lim_itd_me_ridgeprep |
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[825] | 315 | ENDIF |
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| 316 | |
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| 317 | END DO !! on the do while over iter |
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| 318 | |
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[921] | 319 | !-----------------------------------------------------------------------------! |
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| 320 | ! 4) Ridging diagnostics |
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| 321 | !-----------------------------------------------------------------------------! |
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| 322 | ! Convert ridging rate diagnostics to correct units. |
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| 323 | ! Update fresh water and heat fluxes due to snow melt. |
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[825] | 324 | |
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[2715] | 325 | dti = 1._wp / rdt_ice |
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[825] | 326 | |
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| 327 | asum_error = .false. |
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| 328 | |
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| 329 | DO jj = 1, jpj |
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| 330 | DO ji = 1, jpi |
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| 331 | |
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[921] | 332 | IF (ABS(asum(ji,jj) - 1.0) .GT. epsi11) asum_error = .true. |
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[825] | 333 | |
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[921] | 334 | dardg1dt(ji,jj) = dardg1dt(ji,jj) * dti |
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| 335 | dardg2dt(ji,jj) = dardg2dt(ji,jj) * dti |
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| 336 | dvirdgdt(ji,jj) = dvirdgdt(ji,jj) * dti |
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| 337 | opening (ji,jj) = opening (ji,jj) * dti |
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[825] | 338 | |
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[921] | 339 | !-----------------------------------------------------------------------------! |
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| 340 | ! 5) Heat, salt and freshwater fluxes |
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| 341 | !-----------------------------------------------------------------------------! |
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[2715] | 342 | fmmec(ji,jj) = fmmec(ji,jj) + msnow_mlt(ji,jj) * dti ! fresh water source for ocean |
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| 343 | fhmec(ji,jj) = fhmec(ji,jj) + esnow_mlt(ji,jj) * dti ! heat sink for ocean |
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[825] | 344 | |
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| 345 | END DO |
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| 346 | END DO |
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| 347 | |
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| 348 | ! Check if there is a ridging error |
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| 349 | DO jj = 1, jpj |
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| 350 | DO ji = 1, jpi |
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| 351 | IF (ABS(asum(ji,jj) - 1.0) .GT. epsi11) THEN ! there is a bug |
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| 352 | WRITE(numout,*) ' ' |
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| 353 | WRITE(numout,*) ' ALERTE : Ridging error: total area = ', asum(ji,jj) |
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| 354 | WRITE(numout,*) ' limitd_me ' |
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| 355 | WRITE(numout,*) ' POINT : ', ji, jj |
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| 356 | WRITE(numout,*) ' jpl, a_i, athorn ' |
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| 357 | WRITE(numout,*) 0, ato_i(ji,jj), athorn(ji,jj,0) |
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| 358 | DO jl = 1, jpl |
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| 359 | WRITE(numout,*) jl, a_i(ji,jj,jl), athorn(ji,jj,jl) |
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| 360 | END DO |
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| 361 | ENDIF ! asum |
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| 362 | |
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| 363 | END DO !ji |
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| 364 | END DO !jj |
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| 365 | |
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| 366 | ! Conservation check |
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[834] | 367 | IF ( con_i ) THEN |
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| 368 | CALL lim_column_sum (jpl, v_i, vt_i_final) |
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| 369 | fieldid = ' v_i : limitd_me ' |
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| 370 | CALL lim_cons_check (vt_i_init, vt_i_final, 1.0e-6, fieldid) |
---|
| 371 | ENDIF |
---|
[825] | 372 | |
---|
[921] | 373 | !-----------------------------------------------------------------------------! |
---|
| 374 | ! 6) Updating state variables and trend terms |
---|
| 375 | !-----------------------------------------------------------------------------! |
---|
[825] | 376 | |
---|
[834] | 377 | CALL lim_var_glo2eqv |
---|
[825] | 378 | CALL lim_itd_me_zapsmall |
---|
| 379 | |
---|
| 380 | !----------------- |
---|
| 381 | ! Trend terms |
---|
| 382 | !----------------- |
---|
| 383 | |
---|
[2715] | 384 | d_u_ice_dyn(:,:) = u_ice(:,:) - old_u_ice(:,:) |
---|
| 385 | d_v_ice_dyn(:,:) = v_ice(:,:) - old_v_ice(:,:) |
---|
| 386 | d_a_i_trp (:,:,:) = a_i (:,:,:) - old_a_i (:,:,:) |
---|
| 387 | d_v_s_trp (:,:,:) = v_s (:,:,:) - old_v_s (:,:,:) |
---|
| 388 | d_v_i_trp (:,:,:) = v_i (:,:,:) - old_v_i (:,:,:) |
---|
| 389 | d_e_s_trp (:,:,:,:) = e_s (:,:,:,:) - old_e_s (:,:,:,:) |
---|
| 390 | d_e_i_trp (:,:,:,:) = e_i (:,:,:,:) - old_e_i (:,:,:,:) |
---|
| 391 | d_oa_i_trp (:,:,:) = oa_i (:,:,:) - old_oa_i (:,:,:) |
---|
| 392 | d_smv_i_trp(:,:,:) = 0._wp |
---|
| 393 | IF( num_sal == 2 .OR. num_sal == 4 ) d_smv_i_trp(:,:,:) = smv_i(:,:,:) - old_smv_i(:,:,:) |
---|
[825] | 394 | |
---|
[863] | 395 | IF(ln_ctl) THEN ! Control print |
---|
[867] | 396 | CALL prt_ctl_info(' ') |
---|
| 397 | CALL prt_ctl_info(' - Cell values : ') |
---|
| 398 | CALL prt_ctl_info(' ~~~~~~~~~~~~~ ') |
---|
[863] | 399 | CALL prt_ctl(tab2d_1=area , clinfo1=' lim_itd_me : cell area :') |
---|
| 400 | CALL prt_ctl(tab2d_1=at_i , clinfo1=' lim_itd_me : at_i :') |
---|
| 401 | CALL prt_ctl(tab2d_1=vt_i , clinfo1=' lim_itd_me : vt_i :') |
---|
| 402 | CALL prt_ctl(tab2d_1=vt_s , clinfo1=' lim_itd_me : vt_s :') |
---|
| 403 | DO jl = 1, jpl |
---|
[867] | 404 | CALL prt_ctl_info(' ') |
---|
[863] | 405 | CALL prt_ctl_info(' - Category : ', ivar1=jl) |
---|
| 406 | CALL prt_ctl_info(' ~~~~~~~~~~') |
---|
| 407 | CALL prt_ctl(tab2d_1=a_i (:,:,jl) , clinfo1= ' lim_itd_me : a_i : ') |
---|
| 408 | CALL prt_ctl(tab2d_1=ht_i (:,:,jl) , clinfo1= ' lim_itd_me : ht_i : ') |
---|
| 409 | CALL prt_ctl(tab2d_1=ht_s (:,:,jl) , clinfo1= ' lim_itd_me : ht_s : ') |
---|
| 410 | CALL prt_ctl(tab2d_1=v_i (:,:,jl) , clinfo1= ' lim_itd_me : v_i : ') |
---|
| 411 | CALL prt_ctl(tab2d_1=v_s (:,:,jl) , clinfo1= ' lim_itd_me : v_s : ') |
---|
| 412 | CALL prt_ctl(tab2d_1=e_s (:,:,1,jl) , clinfo1= ' lim_itd_me : e_s : ') |
---|
| 413 | CALL prt_ctl(tab2d_1=t_su (:,:,jl) , clinfo1= ' lim_itd_me : t_su : ') |
---|
| 414 | CALL prt_ctl(tab2d_1=t_s (:,:,1,jl) , clinfo1= ' lim_itd_me : t_snow : ') |
---|
| 415 | CALL prt_ctl(tab2d_1=sm_i (:,:,jl) , clinfo1= ' lim_itd_me : sm_i : ') |
---|
| 416 | CALL prt_ctl(tab2d_1=smv_i (:,:,jl) , clinfo1= ' lim_itd_me : smv_i : ') |
---|
| 417 | DO jk = 1, nlay_i |
---|
[867] | 418 | CALL prt_ctl_info(' ') |
---|
[863] | 419 | CALL prt_ctl_info(' - Layer : ', ivar1=jk) |
---|
| 420 | CALL prt_ctl_info(' ~~~~~~~') |
---|
| 421 | CALL prt_ctl(tab2d_1=t_i(:,:,jk,jl) , clinfo1= ' lim_itd_me : t_i : ') |
---|
| 422 | CALL prt_ctl(tab2d_1=e_i(:,:,jk,jl) , clinfo1= ' lim_itd_me : e_i : ') |
---|
| 423 | END DO |
---|
| 424 | END DO |
---|
| 425 | ENDIF |
---|
[825] | 426 | |
---|
[867] | 427 | !-------------------------! |
---|
| 428 | ! Back to initial values |
---|
| 429 | !-------------------------! |
---|
[863] | 430 | |
---|
[867] | 431 | ! update of fields will be made later in lim update |
---|
| 432 | u_ice(:,:) = old_u_ice(:,:) |
---|
| 433 | v_ice(:,:) = old_v_ice(:,:) |
---|
| 434 | a_i(:,:,:) = old_a_i(:,:,:) |
---|
| 435 | v_s(:,:,:) = old_v_s(:,:,:) |
---|
| 436 | v_i(:,:,:) = old_v_i(:,:,:) |
---|
| 437 | e_s(:,:,:,:) = old_e_s(:,:,:,:) |
---|
| 438 | e_i(:,:,:,:) = old_e_i(:,:,:,:) |
---|
| 439 | oa_i(:,:,:) = old_oa_i(:,:,:) |
---|
[2715] | 440 | IF( num_sal == 2 .OR. num_sal == 4 ) smv_i(:,:,:) = old_smv_i(:,:,:) |
---|
[867] | 441 | |
---|
[825] | 442 | !----------------------------------------------------! |
---|
| 443 | ! Advection of ice in a free cell, newly ridged ice |
---|
| 444 | !----------------------------------------------------! |
---|
| 445 | |
---|
| 446 | ! to allow for thermodynamics to melt new ice |
---|
| 447 | ! we immediately advect ice in free cells |
---|
| 448 | |
---|
| 449 | ! heat content has to be corrected before ice volume |
---|
| 450 | DO jl = 1, jpl |
---|
| 451 | DO jk = 1, nlay_i |
---|
| 452 | DO jj = 1, jpj |
---|
| 453 | DO ji = 1, jpi |
---|
[2715] | 454 | IF ( ( old_v_i(ji,jj,jl) < epsi06 ) .AND. & |
---|
| 455 | ( d_v_i_trp(ji,jj,jl) > epsi06 ) ) THEN |
---|
[921] | 456 | old_e_i(ji,jj,jk,jl) = d_e_i_trp(ji,jj,jk,jl) |
---|
[2715] | 457 | d_e_i_trp(ji,jj,jk,jl) = 0._wp |
---|
[825] | 458 | ENDIF |
---|
| 459 | END DO |
---|
| 460 | END DO |
---|
| 461 | END DO |
---|
| 462 | END DO |
---|
| 463 | |
---|
| 464 | DO jl = 1, jpl |
---|
| 465 | DO jj = 1, jpj |
---|
| 466 | DO ji = 1, jpi |
---|
[2715] | 467 | IF ( ( old_v_i(ji,jj,jl) < epsi06 ) .AND. & |
---|
| 468 | ( d_v_i_trp(ji,jj,jl) > epsi06 ) ) THEN |
---|
[921] | 469 | old_v_i(ji,jj,jl) = d_v_i_trp(ji,jj,jl) |
---|
[2715] | 470 | d_v_i_trp(ji,jj,jl) = 0._wp |
---|
[921] | 471 | old_a_i(ji,jj,jl) = d_a_i_trp(ji,jj,jl) |
---|
[2715] | 472 | d_a_i_trp(ji,jj,jl) = 0._wp |
---|
[921] | 473 | old_v_s(ji,jj,jl) = d_v_s_trp(ji,jj,jl) |
---|
[2715] | 474 | d_v_s_trp(ji,jj,jl) = 0._wp |
---|
[921] | 475 | old_e_s(ji,jj,1,jl) = d_e_s_trp(ji,jj,1,jl) |
---|
[2715] | 476 | d_e_s_trp(ji,jj,1,jl) = 0._wp |
---|
[921] | 477 | old_oa_i(ji,jj,jl) = d_oa_i_trp(ji,jj,jl) |
---|
[2715] | 478 | d_oa_i_trp(ji,jj,jl) = 0._wp |
---|
| 479 | IF( num_sal == 2 .OR. num_sal == 4 ) old_smv_i(ji,jj,jl) = d_smv_i_trp(ji,jj,jl) |
---|
| 480 | d_smv_i_trp(ji,jj,jl) = 0._wp |
---|
[825] | 481 | ENDIF |
---|
| 482 | END DO |
---|
| 483 | END DO |
---|
| 484 | END DO |
---|
[921] | 485 | |
---|
[3148] | 486 | CALL wrk_dealloc( jpi, jpj, closing_net, divu_adv, opning, closing_gross, msnow_mlt, esnow_mlt, vt_i_init, vt_i_final ) |
---|
[2715] | 487 | ! |
---|
[825] | 488 | END SUBROUTINE lim_itd_me |
---|
| 489 | |
---|
| 490 | |
---|
[2715] | 491 | SUBROUTINE lim_itd_me_icestrength( kstrngth ) |
---|
[921] | 492 | !!---------------------------------------------------------------------- |
---|
| 493 | !! *** ROUTINE lim_itd_me_icestrength *** |
---|
| 494 | !! |
---|
[2715] | 495 | !! ** Purpose : computes ice strength used in dynamics routines of ice thickness |
---|
[921] | 496 | !! |
---|
[2715] | 497 | !! ** Method : Compute the strength of the ice pack, defined as the energy (J m-2) |
---|
| 498 | !! dissipated per unit area removed from the ice pack under compression, |
---|
| 499 | !! and assumed proportional to the change in potential energy caused |
---|
| 500 | !! by ridging. Note that only Hibler's formulation is stable and that |
---|
| 501 | !! ice strength has to be smoothed |
---|
| 502 | !! |
---|
[921] | 503 | !! ** Inputs / Ouputs : kstrngth (what kind of ice strength we are using) |
---|
| 504 | !!---------------------------------------------------------------------- |
---|
[2715] | 505 | INTEGER, INTENT(in) :: kstrngth ! = 1 for Rothrock formulation, 0 for Hibler (1979) |
---|
[921] | 506 | |
---|
[2715] | 507 | INTEGER :: ji,jj, jl ! dummy loop indices |
---|
| 508 | INTEGER :: ksmooth ! smoothing the resistance to deformation |
---|
| 509 | INTEGER :: numts_rm ! number of time steps for the P smoothing |
---|
| 510 | REAL(wp) :: hi, zw1, zp, zdummy, zzc, z1_3 ! local scalars |
---|
[3148] | 511 | REAL(wp), POINTER, DIMENSION(:,:) :: zworka ! temporary array used here |
---|
[2715] | 512 | !!---------------------------------------------------------------------- |
---|
[825] | 513 | |
---|
[3148] | 514 | CALL wrk_alloc( jpi, jpj, zworka ) |
---|
[825] | 515 | |
---|
[921] | 516 | !------------------------------------------------------------------------------! |
---|
| 517 | ! 1) Initialize |
---|
| 518 | !------------------------------------------------------------------------------! |
---|
[2715] | 519 | strength(:,:) = 0._wp |
---|
[825] | 520 | |
---|
[921] | 521 | !------------------------------------------------------------------------------! |
---|
| 522 | ! 2) Compute thickness distribution of ridging and ridged ice |
---|
| 523 | !------------------------------------------------------------------------------! |
---|
[825] | 524 | CALL lim_itd_me_ridgeprep |
---|
| 525 | |
---|
[921] | 526 | !------------------------------------------------------------------------------! |
---|
| 527 | ! 3) Rothrock(1975)'s method |
---|
| 528 | !------------------------------------------------------------------------------! |
---|
[2715] | 529 | IF( kstrngth == 1 ) THEN |
---|
| 530 | z1_3 = 1._wp / 3._wp |
---|
[825] | 531 | DO jl = 1, jpl |
---|
| 532 | DO jj= 1, jpj |
---|
| 533 | DO ji = 1, jpi |
---|
[2715] | 534 | ! |
---|
| 535 | IF( a_i(ji,jj,jl) > epsi11 .AND. & |
---|
| 536 | athorn(ji,jj,jl) > 0._wp ) THEN |
---|
[825] | 537 | hi = v_i(ji,jj,jl) / a_i(ji,jj,jl) |
---|
| 538 | !---------------------------- |
---|
| 539 | ! PE loss from deforming ice |
---|
| 540 | !---------------------------- |
---|
[2715] | 541 | strength(ji,jj) = strength(ji,jj) - athorn(ji,jj,jl) * hi * hi |
---|
[825] | 542 | |
---|
| 543 | !-------------------------- |
---|
| 544 | ! PE gain from rafting ice |
---|
| 545 | !-------------------------- |
---|
[2715] | 546 | strength(ji,jj) = strength(ji,jj) + 2._wp * araft(ji,jj,jl) * hi * hi |
---|
[825] | 547 | |
---|
| 548 | !---------------------------- |
---|
| 549 | ! PE gain from ridging ice |
---|
| 550 | !---------------------------- |
---|
[2715] | 551 | strength(ji,jj) = strength(ji,jj) + aridge(ji,jj,jl)/krdg(ji,jj,jl) & |
---|
| 552 | * z1_3 * (hrmax(ji,jj,jl)**3 - hrmin(ji,jj,jl)**3) / ( hrmax(ji,jj,jl)-hrmin(ji,jj,jl) ) |
---|
| 553 | !!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... |
---|
[825] | 554 | ENDIF ! aicen > epsi11 |
---|
[2715] | 555 | ! |
---|
[825] | 556 | END DO ! ji |
---|
| 557 | END DO !jj |
---|
| 558 | END DO !jl |
---|
| 559 | |
---|
[2715] | 560 | zzc = Cf * Cp ! where Cp = (g/2)*(rhow-rhoi)*(rhoi/rhow) and Cf accounts for frictional dissipation |
---|
| 561 | strength(:,:) = zzc * strength(:,:) / aksum(:,:) |
---|
[921] | 562 | |
---|
[825] | 563 | ksmooth = 1 |
---|
| 564 | |
---|
[921] | 565 | !------------------------------------------------------------------------------! |
---|
| 566 | ! 4) Hibler (1979)' method |
---|
| 567 | !------------------------------------------------------------------------------! |
---|
[825] | 568 | ELSE ! kstrngth ne 1: Hibler (1979) form |
---|
[2715] | 569 | ! |
---|
| 570 | strength(:,:) = Pstar * vt_i(:,:) * EXP( - C_rhg * ( 1._wp - at_i(:,:) ) ) |
---|
| 571 | ! |
---|
[825] | 572 | ksmooth = 1 |
---|
[2715] | 573 | ! |
---|
[825] | 574 | ENDIF ! kstrngth |
---|
| 575 | |
---|
[921] | 576 | ! |
---|
| 577 | !------------------------------------------------------------------------------! |
---|
| 578 | ! 5) Impact of brine volume |
---|
| 579 | !------------------------------------------------------------------------------! |
---|
| 580 | ! CAN BE REMOVED |
---|
| 581 | ! |
---|
[2715] | 582 | IF ( brinstren_swi == 1 ) THEN |
---|
[825] | 583 | |
---|
| 584 | DO jj = 1, jpj |
---|
| 585 | DO ji = 1, jpi |
---|
| 586 | IF ( bv_i(ji,jj) .GT. 0.0 ) THEN |
---|
| 587 | zdummy = MIN ( bv_i(ji,jj), 0.10 ) * MIN( bv_i(ji,jj), 0.10 ) |
---|
| 588 | ELSE |
---|
| 589 | zdummy = 0.0 |
---|
| 590 | ENDIF |
---|
| 591 | strength(ji,jj) = strength(ji,jj) * exp(-5.88*SQRT(MAX(bv_i(ji,jj),0.0))) |
---|
| 592 | END DO ! j |
---|
| 593 | END DO ! i |
---|
| 594 | |
---|
| 595 | ENDIF |
---|
| 596 | |
---|
[921] | 597 | ! |
---|
| 598 | !------------------------------------------------------------------------------! |
---|
| 599 | ! 6) Smoothing ice strength |
---|
| 600 | !------------------------------------------------------------------------------! |
---|
| 601 | ! |
---|
[825] | 602 | !------------------- |
---|
| 603 | ! Spatial smoothing |
---|
| 604 | !------------------- |
---|
[2715] | 605 | IF ( ksmooth == 1 ) THEN |
---|
[825] | 606 | |
---|
| 607 | CALL lbc_lnk( strength, 'T', 1. ) |
---|
| 608 | |
---|
[869] | 609 | DO jj = 2, jpj - 1 |
---|
| 610 | DO ji = 2, jpi - 1 |
---|
[825] | 611 | IF ( ( asum(ji,jj) - ato_i(ji,jj) ) .GT. epsi11) THEN ! ice is |
---|
[921] | 612 | ! present |
---|
[825] | 613 | zworka(ji,jj) = 4.0 * strength(ji,jj) & |
---|
[921] | 614 | + strength(ji-1,jj) * tms(ji-1,jj) & |
---|
| 615 | + strength(ji+1,jj) * tms(ji+1,jj) & |
---|
| 616 | + strength(ji,jj-1) * tms(ji,jj-1) & |
---|
| 617 | + strength(ji,jj+1) * tms(ji,jj+1) |
---|
[825] | 618 | |
---|
[2715] | 619 | zw1 = 4.0 + tms(ji-1,jj) + tms(ji+1,jj) + tms(ji,jj-1) + tms(ji,jj+1) |
---|
[825] | 620 | zworka(ji,jj) = zworka(ji,jj) / zw1 |
---|
| 621 | ELSE |
---|
| 622 | zworka(ji,jj) = 0.0 |
---|
| 623 | ENDIF |
---|
| 624 | END DO |
---|
| 625 | END DO |
---|
| 626 | |
---|
[869] | 627 | DO jj = 2, jpj - 1 |
---|
| 628 | DO ji = 2, jpi - 1 |
---|
[825] | 629 | strength(ji,jj) = zworka(ji,jj) |
---|
| 630 | END DO |
---|
| 631 | END DO |
---|
[869] | 632 | CALL lbc_lnk( strength, 'T', 1. ) |
---|
[825] | 633 | |
---|
| 634 | ENDIF ! ksmooth |
---|
| 635 | |
---|
| 636 | !-------------------- |
---|
| 637 | ! Temporal smoothing |
---|
| 638 | !-------------------- |
---|
[2715] | 639 | IF ( numit == nit000 + nn_fsbc - 1 ) THEN |
---|
[825] | 640 | strp1(:,:) = 0.0 |
---|
| 641 | strp2(:,:) = 0.0 |
---|
| 642 | ENDIF |
---|
| 643 | |
---|
[2715] | 644 | IF ( ksmooth == 2 ) THEN |
---|
[921] | 645 | |
---|
| 646 | |
---|
[825] | 647 | CALL lbc_lnk( strength, 'T', 1. ) |
---|
[921] | 648 | |
---|
[825] | 649 | DO jj = 1, jpj - 1 |
---|
| 650 | DO ji = 1, jpi - 1 |
---|
[2715] | 651 | IF ( ( asum(ji,jj) - ato_i(ji,jj) ) .GT. epsi11) THEN ! ice is present |
---|
[825] | 652 | numts_rm = 1 ! number of time steps for the running mean |
---|
| 653 | IF ( strp1(ji,jj) .GT. 0.0 ) numts_rm = numts_rm + 1 |
---|
| 654 | IF ( strp2(ji,jj) .GT. 0.0 ) numts_rm = numts_rm + 1 |
---|
[2715] | 655 | zp = ( strength(ji,jj) + strp1(ji,jj) + strp2(ji,jj) ) / numts_rm |
---|
[825] | 656 | strp2(ji,jj) = strp1(ji,jj) |
---|
| 657 | strp1(ji,jj) = strength(ji,jj) |
---|
| 658 | strength(ji,jj) = zp |
---|
| 659 | |
---|
| 660 | ENDIF |
---|
| 661 | END DO |
---|
| 662 | END DO |
---|
| 663 | |
---|
| 664 | ENDIF ! ksmooth |
---|
[921] | 665 | |
---|
[2715] | 666 | CALL lbc_lnk( strength, 'T', 1. ) ! Boundary conditions |
---|
[825] | 667 | |
---|
[3148] | 668 | CALL wrk_dealloc( jpi, jpj, zworka ) |
---|
[2715] | 669 | ! |
---|
[921] | 670 | END SUBROUTINE lim_itd_me_icestrength |
---|
[825] | 671 | |
---|
| 672 | |
---|
[2715] | 673 | SUBROUTINE lim_itd_me_ridgeprep |
---|
[921] | 674 | !!---------------------------------------------------------------------! |
---|
| 675 | !! *** ROUTINE lim_itd_me_ridgeprep *** |
---|
| 676 | !! |
---|
[2715] | 677 | !! ** Purpose : preparation for ridging and strength calculations |
---|
[921] | 678 | !! |
---|
[2715] | 679 | !! ** Method : Compute the thickness distribution of the ice and open water |
---|
| 680 | !! participating in ridging and of the resulting ridges. |
---|
[921] | 681 | !!---------------------------------------------------------------------! |
---|
[2715] | 682 | INTEGER :: ji,jj, jl ! dummy loop indices |
---|
| 683 | INTEGER :: krdg_index ! |
---|
| 684 | REAL(wp) :: Gstari, astari, hi, hrmean, zdummy ! local scalar |
---|
[3148] | 685 | REAL(wp), POINTER, DIMENSION(:,:) :: zworka ! temporary array used here |
---|
| 686 | REAL(wp), POINTER, DIMENSION(:,:,:) :: Gsum ! Gsum(n) = sum of areas in categories 0 to n |
---|
| 687 | !------------------------------------------------------------------------------! |
---|
[825] | 688 | |
---|
[3148] | 689 | CALL wrk_alloc( jpi,jpj, zworka ) |
---|
| 690 | CALL wrk_alloc( jpi,jpj,jpl+2, Gsum, kkstart = -1 ) |
---|
[825] | 691 | |
---|
| 692 | Gstari = 1.0/Gstar |
---|
| 693 | astari = 1.0/astar |
---|
| 694 | aksum(:,:) = 0.0 |
---|
| 695 | athorn(:,:,:) = 0.0 |
---|
| 696 | aridge(:,:,:) = 0.0 |
---|
| 697 | araft (:,:,:) = 0.0 |
---|
| 698 | hrmin(:,:,:) = 0.0 |
---|
| 699 | hrmax(:,:,:) = 0.0 |
---|
| 700 | hraft(:,:,:) = 0.0 |
---|
| 701 | krdg (:,:,:) = 1.0 |
---|
| 702 | |
---|
[921] | 703 | ! ! Zero out categories with very small areas |
---|
[825] | 704 | CALL lim_itd_me_zapsmall |
---|
| 705 | |
---|
[921] | 706 | !------------------------------------------------------------------------------! |
---|
| 707 | ! 1) Participation function |
---|
| 708 | !------------------------------------------------------------------------------! |
---|
[825] | 709 | |
---|
| 710 | ! Compute total area of ice plus open water. |
---|
| 711 | CALL lim_itd_me_asumr |
---|
| 712 | ! This is in general not equal to one |
---|
| 713 | ! because of divergence during transport |
---|
| 714 | |
---|
| 715 | ! Compute cumulative thickness distribution function |
---|
| 716 | ! Compute the cumulative thickness distribution function Gsum, |
---|
| 717 | ! where Gsum(n) is the fractional area in categories 0 to n. |
---|
| 718 | ! initial value (in h = 0) equals open water area |
---|
| 719 | |
---|
[2715] | 720 | Gsum(:,:,-1) = 0._wp |
---|
[825] | 721 | |
---|
| 722 | DO jj = 1, jpj |
---|
| 723 | DO ji = 1, jpi |
---|
[2715] | 724 | IF( ato_i(ji,jj) > epsi11 ) THEN ; Gsum(ji,jj,0) = ato_i(ji,jj) |
---|
| 725 | ELSE ; Gsum(ji,jj,0) = 0._wp |
---|
[825] | 726 | ENDIF |
---|
| 727 | END DO |
---|
| 728 | END DO |
---|
| 729 | |
---|
| 730 | ! for each value of h, you have to add ice concentration then |
---|
| 731 | DO jl = 1, jpl |
---|
| 732 | DO jj = 1, jpj |
---|
| 733 | DO ji = 1, jpi |
---|
[2715] | 734 | IF( a_i(ji,jj,jl) .GT. epsi11 ) THEN ; Gsum(ji,jj,jl) = Gsum(ji,jj,jl-1) + a_i(ji,jj,jl) |
---|
| 735 | ELSE ; Gsum(ji,jj,jl) = Gsum(ji,jj,jl-1) |
---|
[825] | 736 | ENDIF |
---|
| 737 | END DO |
---|
| 738 | END DO |
---|
| 739 | END DO |
---|
| 740 | |
---|
| 741 | ! Normalize the cumulative distribution to 1 |
---|
[2715] | 742 | zworka(:,:) = 1._wp / Gsum(:,:,jpl) |
---|
[825] | 743 | DO jl = 0, jpl |
---|
[2715] | 744 | Gsum(:,:,jl) = Gsum(:,:,jl) * zworka(:,:) |
---|
[825] | 745 | END DO |
---|
| 746 | |
---|
[921] | 747 | ! 1.3 Compute participation function a(h) = b(h).g(h) (athorn) |
---|
| 748 | !-------------------------------------------------------------------------------------------------- |
---|
| 749 | ! Compute the participation function athorn; this is analogous to |
---|
| 750 | ! a(h) = b(h)g(h) as defined in Thorndike et al. (1975). |
---|
| 751 | ! area lost from category n due to ridging/closing |
---|
| 752 | ! athorn(n) = total area lost due to ridging/closing |
---|
| 753 | ! assume b(h) = (2/Gstar) * (1 - G(h)/Gstar). |
---|
| 754 | ! |
---|
| 755 | ! The expressions for athorn are found by integrating b(h)g(h) between |
---|
| 756 | ! the category boundaries. |
---|
| 757 | !----------------------------------------------------------------- |
---|
[825] | 758 | |
---|
| 759 | krdg_index = 1 |
---|
| 760 | |
---|
[2715] | 761 | IF( krdg_index == 0 ) THEN !--- Linear formulation (Thorndike et al., 1975) |
---|
| 762 | DO jl = 0, ice_cat_bounds(1,2) ! only undeformed ice participates |
---|
[921] | 763 | DO jj = 1, jpj |
---|
| 764 | DO ji = 1, jpi |
---|
[2715] | 765 | IF( Gsum(ji,jj,jl) < Gstar) THEN |
---|
[921] | 766 | athorn(ji,jj,jl) = Gstari * (Gsum(ji,jj,jl)-Gsum(ji,jj,jl-1)) * & |
---|
| 767 | (2.0 - (Gsum(ji,jj,jl-1)+Gsum(ji,jj,jl))*Gstari) |
---|
| 768 | ELSEIF (Gsum(ji,jj,jl-1) < Gstar) THEN |
---|
| 769 | athorn(ji,jj,jl) = Gstari * (Gstar-Gsum(ji,jj,jl-1)) * & |
---|
| 770 | (2.0 - (Gsum(ji,jj,jl-1)+Gstar)*Gstari) |
---|
| 771 | ELSE |
---|
| 772 | athorn(ji,jj,jl) = 0.0 |
---|
| 773 | ENDIF |
---|
| 774 | END DO ! ji |
---|
| 775 | END DO ! jj |
---|
| 776 | END DO ! jl |
---|
[825] | 777 | |
---|
[2715] | 778 | ELSE !--- Exponential, more stable formulation (Lipscomb et al, 2007) |
---|
| 779 | ! |
---|
| 780 | zdummy = 1._wp / ( 1._wp - EXP(-astari) ) ! precompute exponential terms using Gsum as a work array |
---|
[825] | 781 | |
---|
[921] | 782 | DO jl = -1, jpl |
---|
[2715] | 783 | Gsum(:,:,jl) = EXP( -Gsum(:,:,jl) * astari ) * zdummy |
---|
[921] | 784 | END DO !jl |
---|
| 785 | DO jl = 0, ice_cat_bounds(1,2) |
---|
[2715] | 786 | athorn(:,:,jl) = Gsum(:,:,jl-1) - Gsum(:,:,jl) |
---|
| 787 | END DO |
---|
| 788 | ! |
---|
[825] | 789 | ENDIF ! krdg_index |
---|
| 790 | |
---|
[2715] | 791 | IF( raftswi == 1 ) THEN ! Ridging and rafting ice participation functions |
---|
| 792 | ! |
---|
[825] | 793 | DO jl = 1, jpl |
---|
| 794 | DO jj = 1, jpj |
---|
| 795 | DO ji = 1, jpi |
---|
[2715] | 796 | IF ( athorn(ji,jj,jl) .GT. 0._wp ) THEN |
---|
| 797 | !!gm TANH( -X ) = - TANH( X ) so can be computed only 1 time.... |
---|
| 798 | aridge(ji,jj,jl) = ( TANH ( Craft * ( ht_i(ji,jj,jl) - hparmeter ) ) + 1.0 ) * 0.5 * athorn(ji,jj,jl) |
---|
| 799 | araft (ji,jj,jl) = ( TANH ( -Craft * ( ht_i(ji,jj,jl) - hparmeter ) ) + 1.0 ) * 0.5 * athorn(ji,jj,jl) |
---|
| 800 | IF ( araft(ji,jj,jl) < epsi06 ) araft(ji,jj,jl) = 0._wp |
---|
| 801 | aridge(ji,jj,jl) = MAX( athorn(ji,jj,jl) - araft(ji,jj,jl), 0.0 ) |
---|
[825] | 802 | ENDIF ! athorn |
---|
| 803 | END DO ! ji |
---|
| 804 | END DO ! jj |
---|
| 805 | END DO ! jl |
---|
| 806 | |
---|
| 807 | ELSE ! raftswi = 0 |
---|
[2715] | 808 | ! |
---|
[825] | 809 | DO jl = 1, jpl |
---|
[2715] | 810 | aridge(:,:,jl) = athorn(:,:,jl) |
---|
[825] | 811 | END DO |
---|
[2715] | 812 | ! |
---|
[825] | 813 | ENDIF |
---|
| 814 | |
---|
[2715] | 815 | IF ( raftswi == 1 ) THEN |
---|
[825] | 816 | |
---|
[921] | 817 | IF( MAXVAL(aridge + araft - athorn(:,:,1:jpl)) .GT. epsi11 ) THEN |
---|
| 818 | DO jl = 1, jpl |
---|
| 819 | DO jj = 1, jpj |
---|
| 820 | DO ji = 1, jpi |
---|
| 821 | IF ( aridge(ji,jj,jl) + araft(ji,jj,jl) - athorn(ji,jj,jl) .GT. & |
---|
| 822 | epsi11 ) THEN |
---|
| 823 | WRITE(numout,*) ' ALERTE 96 : wrong participation function ... ' |
---|
| 824 | WRITE(numout,*) ' ji, jj, jl : ', ji, jj, jl |
---|
| 825 | WRITE(numout,*) ' lat, lon : ', gphit(ji,jj), glamt(ji,jj) |
---|
| 826 | WRITE(numout,*) ' aridge : ', aridge(ji,jj,1:jpl) |
---|
| 827 | WRITE(numout,*) ' araft : ', araft(ji,jj,1:jpl) |
---|
| 828 | WRITE(numout,*) ' athorn : ', athorn(ji,jj,1:jpl) |
---|
| 829 | ENDIF |
---|
| 830 | END DO |
---|
[868] | 831 | END DO |
---|
[825] | 832 | END DO |
---|
[921] | 833 | ENDIF |
---|
[825] | 834 | |
---|
| 835 | ENDIF |
---|
| 836 | |
---|
[921] | 837 | !----------------------------------------------------------------- |
---|
| 838 | ! 2) Transfer function |
---|
| 839 | !----------------------------------------------------------------- |
---|
| 840 | ! Compute max and min ridged ice thickness for each ridging category. |
---|
| 841 | ! Assume ridged ice is uniformly distributed between hrmin and hrmax. |
---|
| 842 | ! |
---|
| 843 | ! This parameterization is a modified version of Hibler (1980). |
---|
| 844 | ! The mean ridging thickness, hrmean, is proportional to hi^(0.5) |
---|
| 845 | ! and for very thick ridging ice must be >= krdgmin*hi |
---|
| 846 | ! |
---|
| 847 | ! The minimum ridging thickness, hrmin, is equal to 2*hi |
---|
| 848 | ! (i.e., rafting) and for very thick ridging ice is |
---|
| 849 | ! constrained by hrmin <= (hrmean + hi)/2. |
---|
| 850 | ! |
---|
| 851 | ! The maximum ridging thickness, hrmax, is determined by |
---|
| 852 | ! hrmean and hrmin. |
---|
| 853 | ! |
---|
| 854 | ! These modifications have the effect of reducing the ice strength |
---|
| 855 | ! (relative to the Hibler formulation) when very thick ice is |
---|
| 856 | ! ridging. |
---|
| 857 | ! |
---|
| 858 | ! aksum = net area removed/ total area removed |
---|
| 859 | ! where total area removed = area of ice that ridges |
---|
| 860 | ! net area removed = total area removed - area of new ridges |
---|
| 861 | !----------------------------------------------------------------- |
---|
[825] | 862 | |
---|
| 863 | ! Transfer function |
---|
| 864 | DO jl = 1, jpl !all categories have a specific transfer function |
---|
| 865 | DO jj = 1, jpj |
---|
| 866 | DO ji = 1, jpi |
---|
| 867 | |
---|
| 868 | IF (a_i(ji,jj,jl) .GT. epsi11 .AND. athorn(ji,jj,jl) .GT. 0.0 ) THEN |
---|
| 869 | hi = v_i(ji,jj,jl) / a_i(ji,jj,jl) |
---|
| 870 | hrmean = MAX(SQRT(Hstar*hi), hi*krdgmin) |
---|
| 871 | hrmin(ji,jj,jl) = MIN(2.0*hi, 0.5*(hrmean + hi)) |
---|
| 872 | hrmax(ji,jj,jl) = 2.0*hrmean - hrmin(ji,jj,jl) |
---|
| 873 | hraft(ji,jj,jl) = kraft*hi |
---|
| 874 | krdg(ji,jj,jl) = hrmean / hi |
---|
| 875 | ELSE |
---|
| 876 | hraft(ji,jj,jl) = 0.0 |
---|
| 877 | hrmin(ji,jj,jl) = 0.0 |
---|
| 878 | hrmax(ji,jj,jl) = 0.0 |
---|
| 879 | krdg (ji,jj,jl) = 1.0 |
---|
| 880 | ENDIF |
---|
| 881 | |
---|
| 882 | END DO ! ji |
---|
| 883 | END DO ! jj |
---|
| 884 | END DO ! jl |
---|
| 885 | |
---|
| 886 | ! Normalization factor : aksum, ensures mass conservation |
---|
[2777] | 887 | aksum(:,:) = athorn(:,:,0) |
---|
[825] | 888 | DO jl = 1, jpl |
---|
[2715] | 889 | aksum(:,:) = aksum(:,:) + aridge(:,:,jl) * ( 1._wp - 1._wp / krdg(:,:,jl) ) & |
---|
| 890 | & + araft (:,:,jl) * ( 1._wp - 1._wp / kraft ) |
---|
[825] | 891 | END DO |
---|
[2715] | 892 | ! |
---|
[3148] | 893 | CALL wrk_dealloc( jpi,jpj, zworka ) |
---|
| 894 | CALL wrk_dealloc( jpi,jpj,jpl+2, Gsum, kkstart = -1 ) |
---|
| 895 | ! |
---|
[921] | 896 | END SUBROUTINE lim_itd_me_ridgeprep |
---|
[825] | 897 | |
---|
| 898 | |
---|
[2715] | 899 | SUBROUTINE lim_itd_me_ridgeshift( opning, closing_gross, msnow_mlt, esnow_mlt ) |
---|
| 900 | !!---------------------------------------------------------------------- |
---|
[921] | 901 | !! *** ROUTINE lim_itd_me_icestrength *** |
---|
| 902 | !! |
---|
[2715] | 903 | !! ** Purpose : shift ridging ice among thickness categories of ice thickness |
---|
[921] | 904 | !! |
---|
[2715] | 905 | !! ** Method : Remove area, volume, and energy from each ridging category |
---|
| 906 | !! and add to thicker ice categories. |
---|
| 907 | !!---------------------------------------------------------------------- |
---|
| 908 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: opning ! rate of opening due to divergence/shear |
---|
| 909 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: closing_gross ! rate at which area removed, excluding area of new ridges |
---|
| 910 | REAL(wp), DIMENSION(jpi,jpj), INTENT(inout) :: msnow_mlt ! mass of snow added to ocean (kg m-2) |
---|
| 911 | REAL(wp), DIMENSION(jpi,jpj), INTENT(inout) :: esnow_mlt ! energy needed to melt snow in ocean (J m-2) |
---|
| 912 | ! |
---|
| 913 | CHARACTER (len=80) :: fieldid ! field identifier |
---|
| 914 | LOGICAL, PARAMETER :: l_conservation_check = .true. ! if true, check conservation (useful for debugging) |
---|
| 915 | ! |
---|
| 916 | LOGICAL :: neg_ato_i ! flag for ato_i(i,j) < -puny |
---|
| 917 | LOGICAL :: large_afrac ! flag for afrac > 1 |
---|
| 918 | LOGICAL :: large_afrft ! flag for afrac > 1 |
---|
| 919 | INTEGER :: ji, jj, jl, jl1, jl2, jk ! dummy loop indices |
---|
| 920 | INTEGER :: ij ! horizontal index, combines i and j loops |
---|
| 921 | INTEGER :: icells ! number of cells with aicen > puny |
---|
| 922 | REAL(wp) :: zeps, zindb, zsrdg2 ! local scalar |
---|
| 923 | REAL(wp) :: hL, hR, farea, zdummy, zdummy0, ztmelts ! left and right limits of integration |
---|
[825] | 924 | |
---|
[3148] | 925 | INTEGER , POINTER, DIMENSION(:) :: indxi, indxj ! compressed indices |
---|
[825] | 926 | |
---|
[3148] | 927 | REAL(wp), POINTER, DIMENSION(:,:) :: vice_init, vice_final ! ice volume summed over categories |
---|
| 928 | REAL(wp), POINTER, DIMENSION(:,:) :: eice_init, eice_final ! ice energy summed over layers |
---|
[825] | 929 | |
---|
[3148] | 930 | REAL(wp), POINTER, DIMENSION(:,:,:) :: aicen_init, vicen_init ! ice area & volume before ridging |
---|
| 931 | REAL(wp), POINTER, DIMENSION(:,:,:) :: vsnon_init, esnon_init ! snow volume & energy before ridging |
---|
| 932 | REAL(wp), POINTER, DIMENSION(:,:,:) :: smv_i_init, oa_i_init ! ice salinity & age before ridging |
---|
[825] | 933 | |
---|
[3148] | 934 | REAL(wp), POINTER, DIMENSION(:,:,:,:) :: eicen_init ! ice energy before ridging |
---|
[825] | 935 | |
---|
[3148] | 936 | REAL(wp), POINTER, DIMENSION(:,:) :: afrac , fvol ! fraction of category area ridged & new ridge volume going to n2 |
---|
| 937 | REAL(wp), POINTER, DIMENSION(:,:) :: ardg1 , ardg2 ! area of ice ridged & new ridges |
---|
| 938 | REAL(wp), POINTER, DIMENSION(:,:) :: vsrdg , esrdg ! snow volume & energy of ridging ice |
---|
| 939 | REAL(wp), POINTER, DIMENSION(:,:) :: oirdg1, oirdg2 ! areal age content of ridged & rifging ice |
---|
| 940 | REAL(wp), POINTER, DIMENSION(:,:) :: dhr , dhr2 ! hrmax - hrmin & hrmax^2 - hrmin^2 |
---|
[825] | 941 | |
---|
[3148] | 942 | REAL(wp), POINTER, DIMENSION(:,:) :: vrdg1 ! volume of ice ridged |
---|
| 943 | REAL(wp), POINTER, DIMENSION(:,:) :: vrdg2 ! volume of new ridges |
---|
| 944 | REAL(wp), POINTER, DIMENSION(:,:) :: vsw ! volume of seawater trapped into ridges |
---|
| 945 | REAL(wp), POINTER, DIMENSION(:,:) :: srdg1 ! sal*volume of ice ridged |
---|
| 946 | REAL(wp), POINTER, DIMENSION(:,:) :: srdg2 ! sal*volume of new ridges |
---|
| 947 | REAL(wp), POINTER, DIMENSION(:,:) :: smsw ! sal*volume of water trapped into ridges |
---|
[825] | 948 | |
---|
[3148] | 949 | REAL(wp), POINTER, DIMENSION(:,:) :: afrft ! fraction of category area rafted |
---|
| 950 | REAL(wp), POINTER, DIMENSION(:,:) :: arft1 , arft2 ! area of ice rafted and new rafted zone |
---|
| 951 | REAL(wp), POINTER, DIMENSION(:,:) :: virft , vsrft ! ice & snow volume of rafting ice |
---|
| 952 | REAL(wp), POINTER, DIMENSION(:,:) :: esrft , smrft ! snow energy & salinity of rafting ice |
---|
| 953 | REAL(wp), POINTER, DIMENSION(:,:) :: oirft1, oirft2 ! areal age content of rafted ice & rafting ice |
---|
[825] | 954 | |
---|
[3148] | 955 | REAL(wp), POINTER, DIMENSION(:,:,:) :: eirft ! ice energy of rafting ice |
---|
| 956 | REAL(wp), POINTER, DIMENSION(:,:,:) :: erdg1 ! enth*volume of ice ridged |
---|
| 957 | REAL(wp), POINTER, DIMENSION(:,:,:) :: erdg2 ! enth*volume of new ridges |
---|
| 958 | REAL(wp), POINTER, DIMENSION(:,:,:) :: ersw ! enth of water trapped into ridges |
---|
| 959 | !!---------------------------------------------------------------------- |
---|
[825] | 960 | |
---|
[3148] | 961 | CALL wrk_alloc( (jpi+1)*(jpj+1), indxi, indxj ) |
---|
| 962 | CALL wrk_alloc( jpi, jpj, vice_init, vice_final, eice_init, eice_final ) |
---|
| 963 | CALL wrk_alloc( jpi, jpj, afrac, fvol , ardg1, ardg2, vsrdg, esrdg, oirdg1, oirdg2, dhr, dhr2 ) |
---|
| 964 | CALL wrk_alloc( jpi, jpj, vrdg1, vrdg2, vsw , srdg1, srdg2, smsw ) |
---|
| 965 | CALL wrk_alloc( jpi, jpj, afrft, arft1, arft2, virft, vsrft, esrft, smrft, oirft1, oirft2 ) |
---|
| 966 | CALL wrk_alloc( jpi, jpj, jpl, aicen_init, vicen_init, vsnon_init, esnon_init, smv_i_init, oa_i_init ) |
---|
| 967 | CALL wrk_alloc( jpi, jpj, jkmax, eirft, erdg1, erdg2, ersw ) |
---|
| 968 | CALL wrk_alloc( jpi, jpj, jkmax, jpl, eicen_init ) |
---|
| 969 | |
---|
[825] | 970 | ! Conservation check |
---|
[2715] | 971 | eice_init(:,:) = 0._wp |
---|
[825] | 972 | |
---|
[2715] | 973 | IF( con_i ) THEN |
---|
[825] | 974 | CALL lim_column_sum (jpl, v_i, vice_init ) |
---|
[888] | 975 | WRITE(numout,*) ' vice_init : ', vice_init(jiindx,jjindx) |
---|
[825] | 976 | CALL lim_column_sum_energy (jpl, nlay_i, e_i, eice_init ) |
---|
[888] | 977 | WRITE(numout,*) ' eice_init : ', eice_init(jiindx,jjindx) |
---|
[825] | 978 | ENDIF |
---|
| 979 | |
---|
[2715] | 980 | zeps = 1.e-20_wp |
---|
[825] | 981 | |
---|
[921] | 982 | !------------------------------------------------------------------------------- |
---|
| 983 | ! 1) Compute change in open water area due to closing and opening. |
---|
| 984 | !------------------------------------------------------------------------------- |
---|
[825] | 985 | |
---|
| 986 | neg_ato_i = .false. |
---|
| 987 | |
---|
| 988 | DO jj = 1, jpj |
---|
| 989 | DO ji = 1, jpi |
---|
[2715] | 990 | ato_i(ji,jj) = ato_i(ji,jj) - athorn(ji,jj,0) * closing_gross(ji,jj) * rdt_ice & |
---|
| 991 | & + opning(ji,jj) * rdt_ice |
---|
| 992 | IF( ato_i(ji,jj) < -epsi11 ) THEN |
---|
| 993 | neg_ato_i = .TRUE. |
---|
| 994 | ELSEIF( ato_i(ji,jj) < 0._wp ) THEN ! roundoff error |
---|
| 995 | ato_i(ji,jj) = 0._wp |
---|
[825] | 996 | ENDIF |
---|
| 997 | END DO !jj |
---|
| 998 | END DO !ji |
---|
| 999 | |
---|
| 1000 | ! if negative open water area alert it |
---|
[2715] | 1001 | IF( neg_ato_i ) THEN ! there is a bug |
---|
[825] | 1002 | DO jj = 1, jpj |
---|
| 1003 | DO ji = 1, jpi |
---|
[2715] | 1004 | IF( ato_i(ji,jj) < -epsi11 ) THEN |
---|
[825] | 1005 | WRITE(numout,*) '' |
---|
| 1006 | WRITE(numout,*) 'Ridging error: ato_i < 0' |
---|
| 1007 | WRITE(numout,*) 'ato_i : ', ato_i(ji,jj) |
---|
| 1008 | ENDIF ! ato_i < -epsi11 |
---|
[2715] | 1009 | END DO |
---|
| 1010 | END DO |
---|
| 1011 | ENDIF |
---|
[825] | 1012 | |
---|
[921] | 1013 | !----------------------------------------------------------------- |
---|
| 1014 | ! 2) Save initial state variables |
---|
| 1015 | !----------------------------------------------------------------- |
---|
[825] | 1016 | |
---|
| 1017 | DO jl = 1, jpl |
---|
[2715] | 1018 | aicen_init(:,:,jl) = a_i(:,:,jl) |
---|
| 1019 | vicen_init(:,:,jl) = v_i(:,:,jl) |
---|
| 1020 | vsnon_init(:,:,jl) = v_s(:,:,jl) |
---|
| 1021 | ! |
---|
| 1022 | smv_i_init(:,:,jl) = smv_i(:,:,jl) |
---|
| 1023 | oa_i_init (:,:,jl) = oa_i (:,:,jl) |
---|
[825] | 1024 | END DO !jl |
---|
[868] | 1025 | |
---|
| 1026 | esnon_init(:,:,:) = e_s(:,:,1,:) |
---|
[921] | 1027 | |
---|
[825] | 1028 | DO jl = 1, jpl |
---|
| 1029 | DO jk = 1, nlay_i |
---|
[2715] | 1030 | eicen_init(:,:,jk,jl) = e_i(:,:,jk,jl) |
---|
| 1031 | END DO |
---|
| 1032 | END DO |
---|
[825] | 1033 | |
---|
[921] | 1034 | ! |
---|
| 1035 | !----------------------------------------------------------------- |
---|
| 1036 | ! 3) Pump everything from ice which is being ridged / rafted |
---|
| 1037 | !----------------------------------------------------------------- |
---|
| 1038 | ! Compute the area, volume, and energy of ice ridging in each |
---|
| 1039 | ! category, along with the area of the resulting ridge. |
---|
[825] | 1040 | |
---|
| 1041 | DO jl1 = 1, jpl !jl1 describes the ridging category |
---|
| 1042 | |
---|
[921] | 1043 | !------------------------------------------------ |
---|
| 1044 | ! 3.1) Identify grid cells with nonzero ridging |
---|
| 1045 | !------------------------------------------------ |
---|
[825] | 1046 | |
---|
| 1047 | icells = 0 |
---|
| 1048 | DO jj = 1, jpj |
---|
| 1049 | DO ji = 1, jpi |
---|
| 1050 | IF (aicen_init(ji,jj,jl1) .GT. epsi11 .AND. athorn(ji,jj,jl1) .GT. 0.0 & |
---|
[921] | 1051 | .AND. closing_gross(ji,jj) > 0.0) THEN |
---|
[825] | 1052 | icells = icells + 1 |
---|
| 1053 | indxi(icells) = ji |
---|
| 1054 | indxj(icells) = jj |
---|
| 1055 | ENDIF ! test on a_icen_init |
---|
| 1056 | END DO ! ji |
---|
| 1057 | END DO ! jj |
---|
| 1058 | |
---|
| 1059 | large_afrac = .false. |
---|
| 1060 | large_afrft = .false. |
---|
| 1061 | |
---|
[868] | 1062 | !CDIR NODEP |
---|
[825] | 1063 | DO ij = 1, icells |
---|
| 1064 | ji = indxi(ij) |
---|
| 1065 | jj = indxj(ij) |
---|
| 1066 | |
---|
[921] | 1067 | !-------------------------------------------------------------------- |
---|
| 1068 | ! 3.2) Compute area of ridging ice (ardg1) and of new ridge (ardg2) |
---|
| 1069 | !-------------------------------------------------------------------- |
---|
[825] | 1070 | |
---|
| 1071 | ardg1(ji,jj) = aridge(ji,jj,jl1)*closing_gross(ji,jj)*rdt_ice |
---|
| 1072 | arft1(ji,jj) = araft (ji,jj,jl1)*closing_gross(ji,jj)*rdt_ice |
---|
| 1073 | ardg2(ji,jj) = ardg1(ji,jj) / krdg(ji,jj,jl1) |
---|
| 1074 | arft2(ji,jj) = arft1(ji,jj) / kraft |
---|
| 1075 | |
---|
| 1076 | oirdg1(ji,jj)= aridge(ji,jj,jl1)*closing_gross(ji,jj)*rdt_ice |
---|
| 1077 | oirft1(ji,jj)= araft (ji,jj,jl1)*closing_gross(ji,jj)*rdt_ice |
---|
| 1078 | oirdg2(ji,jj)= oirdg1(ji,jj) / krdg(ji,jj,jl1) |
---|
| 1079 | oirft2(ji,jj)= oirft1(ji,jj) / kraft |
---|
| 1080 | |
---|
[921] | 1081 | !--------------------------------------------------------------- |
---|
| 1082 | ! 3.3) Compute ridging /rafting fractions, make sure afrac <=1 |
---|
| 1083 | !--------------------------------------------------------------- |
---|
[825] | 1084 | |
---|
| 1085 | afrac(ji,jj) = ardg1(ji,jj) / aicen_init(ji,jj,jl1) !ridging |
---|
| 1086 | afrft(ji,jj) = arft1(ji,jj) / aicen_init(ji,jj,jl1) !rafting |
---|
| 1087 | |
---|
| 1088 | IF (afrac(ji,jj) > 1.0 + epsi11) THEN !riging |
---|
| 1089 | large_afrac = .true. |
---|
| 1090 | ELSEIF (afrac(ji,jj) > 1.0) THEN ! roundoff error |
---|
| 1091 | afrac(ji,jj) = 1.0 |
---|
| 1092 | ENDIF |
---|
| 1093 | IF (afrft(ji,jj) > 1.0 + epsi11) THEN !rafting |
---|
| 1094 | large_afrft = .true. |
---|
| 1095 | ELSEIF (afrft(ji,jj) > 1.0) THEN ! roundoff error |
---|
| 1096 | afrft(ji,jj) = 1.0 |
---|
| 1097 | ENDIF |
---|
| 1098 | |
---|
[921] | 1099 | !-------------------------------------------------------------------------- |
---|
| 1100 | ! 3.4) Subtract area, volume, and energy from ridging |
---|
| 1101 | ! / rafting category n1. |
---|
| 1102 | !-------------------------------------------------------------------------- |
---|
[2715] | 1103 | vrdg1(ji,jj) = vicen_init(ji,jj,jl1) * afrac(ji,jj) / ( 1._wp + ridge_por ) |
---|
[825] | 1104 | vrdg2(ji,jj) = vrdg1(ji,jj) * ( 1. + ridge_por ) |
---|
| 1105 | vsw (ji,jj) = vrdg1(ji,jj) * ridge_por |
---|
| 1106 | |
---|
| 1107 | vsrdg(ji,jj) = vsnon_init(ji,jj,jl1) * afrac(ji,jj) |
---|
| 1108 | esrdg(ji,jj) = esnon_init(ji,jj,jl1) * afrac(ji,jj) |
---|
[2715] | 1109 | srdg1(ji,jj) = smv_i_init(ji,jj,jl1) * afrac(ji,jj) / ( 1._wp + ridge_por ) |
---|
[825] | 1110 | srdg2(ji,jj) = smv_i_init(ji,jj,jl1) * afrac(ji,jj) |
---|
| 1111 | |
---|
| 1112 | ! rafting volumes, heat contents ... |
---|
| 1113 | virft(ji,jj) = vicen_init(ji,jj,jl1) * afrft(ji,jj) |
---|
| 1114 | vsrft(ji,jj) = vsnon_init(ji,jj,jl1) * afrft(ji,jj) |
---|
| 1115 | esrft(ji,jj) = esnon_init(ji,jj,jl1) * afrft(ji,jj) |
---|
| 1116 | smrft(ji,jj) = smv_i_init(ji,jj,jl1) * afrft(ji,jj) |
---|
| 1117 | |
---|
| 1118 | ! substract everything |
---|
| 1119 | a_i(ji,jj,jl1) = a_i(ji,jj,jl1) - ardg1(ji,jj) - arft1(ji,jj) |
---|
| 1120 | v_i(ji,jj,jl1) = v_i(ji,jj,jl1) - vrdg1(ji,jj) - virft(ji,jj) |
---|
| 1121 | v_s(ji,jj,jl1) = v_s(ji,jj,jl1) - vsrdg(ji,jj) - vsrft(ji,jj) |
---|
| 1122 | e_s(ji,jj,1,jl1) = e_s(ji,jj,1,jl1) - esrdg(ji,jj) - esrft(ji,jj) |
---|
| 1123 | oa_i(ji,jj,jl1) = oa_i(ji,jj,jl1) - oirdg1(ji,jj) - oirft1(ji,jj) |
---|
| 1124 | smv_i(ji,jj,jl1) = smv_i(ji,jj,jl1) - srdg1(ji,jj) - smrft(ji,jj) |
---|
| 1125 | |
---|
[921] | 1126 | !----------------------------------------------------------------- |
---|
| 1127 | ! 3.5) Compute properties of new ridges |
---|
| 1128 | !----------------------------------------------------------------- |
---|
[825] | 1129 | !------------- |
---|
| 1130 | ! Salinity |
---|
| 1131 | !------------- |
---|
[1571] | 1132 | smsw(ji,jj) = sss_m(ji,jj) * vsw(ji,jj) * rhoic / rau0 ! salt content of water frozen in voids |
---|
[1572] | 1133 | |
---|
[1571] | 1134 | zsrdg2 = srdg1(ji,jj) + smsw(ji,jj) ! salt content of new ridge |
---|
[1572] | 1135 | |
---|
[1571] | 1136 | srdg2(ji,jj) = MIN( s_i_max * vrdg2(ji,jj) , zsrdg2 ) ! impose a maximum salinity |
---|
[1572] | 1137 | |
---|
[1571] | 1138 | ! ! excess of salt is flushed into the ocean |
---|
[1572] | 1139 | fsalt_rpo(ji,jj) = fsalt_rpo(ji,jj) + ( zsrdg2 - srdg2(ji,jj) ) * rhoic / rdt_ice |
---|
| 1140 | |
---|
[921] | 1141 | !------------------------------------ |
---|
| 1142 | ! 3.6 Increment ridging diagnostics |
---|
| 1143 | !------------------------------------ |
---|
[825] | 1144 | |
---|
[921] | 1145 | ! jl1 looping 1-jpl |
---|
| 1146 | ! ij looping 1-icells |
---|
[825] | 1147 | |
---|
[2715] | 1148 | dardg1dt (ji,jj) = dardg1dt(ji,jj) + ardg1(ji,jj) + arft1(ji,jj) |
---|
| 1149 | dardg2dt (ji,jj) = dardg2dt(ji,jj) + ardg2(ji,jj) + arft2(ji,jj) |
---|
[825] | 1150 | diag_dyn_gr(ji,jj) = diag_dyn_gr(ji,jj) + ( vrdg2(ji,jj) + virft(ji,jj) ) / rdt_ice |
---|
[2715] | 1151 | opening (ji,jj) = opening (ji,jj) + opning(ji,jj)*rdt_ice |
---|
[825] | 1152 | |
---|
[2715] | 1153 | IF( con_i ) vice_init(ji,jj) = vice_init(ji,jj) + vrdg2(ji,jj) - vrdg1(ji,jj) |
---|
[825] | 1154 | |
---|
[921] | 1155 | !------------------------------------------ |
---|
| 1156 | ! 3.7 Put the snow somewhere in the ocean |
---|
| 1157 | !------------------------------------------ |
---|
[825] | 1158 | |
---|
[921] | 1159 | ! Place part of the snow lost by ridging into the ocean. |
---|
| 1160 | ! Note that esnow_mlt < 0; the ocean must cool to melt snow. |
---|
| 1161 | ! If the ocean temp = Tf already, new ice must grow. |
---|
| 1162 | ! During the next time step, thermo_rates will determine whether |
---|
| 1163 | ! the ocean cools or new ice grows. |
---|
| 1164 | ! jl1 looping 1-jpl |
---|
| 1165 | ! ij looping 1-icells |
---|
| 1166 | |
---|
[2715] | 1167 | msnow_mlt(ji,jj) = msnow_mlt(ji,jj) + rhosn*vsrdg(ji,jj)*(1.0-fsnowrdg) & ! rafting included |
---|
| 1168 | & + rhosn*vsrft(ji,jj)*(1.0-fsnowrft) |
---|
[825] | 1169 | |
---|
[2715] | 1170 | esnow_mlt(ji,jj) = esnow_mlt(ji,jj) + esrdg(ji,jj)*(1.0-fsnowrdg) & !rafting included |
---|
| 1171 | & + esrft(ji,jj)*(1.0-fsnowrft) |
---|
[825] | 1172 | |
---|
[921] | 1173 | !----------------------------------------------------------------- |
---|
| 1174 | ! 3.8 Compute quantities used to apportion ice among categories |
---|
| 1175 | ! in the n2 loop below |
---|
| 1176 | !----------------------------------------------------------------- |
---|
[825] | 1177 | |
---|
[921] | 1178 | ! jl1 looping 1-jpl |
---|
| 1179 | ! ij looping 1-icells |
---|
[825] | 1180 | |
---|
| 1181 | dhr(ji,jj) = hrmax(ji,jj,jl1) - hrmin(ji,jj,jl1) |
---|
[2715] | 1182 | dhr2(ji,jj) = hrmax(ji,jj,jl1) * hrmax(ji,jj,jl1) - hrmin(ji,jj,jl1) * hrmin(ji,jj,jl1) |
---|
[825] | 1183 | |
---|
| 1184 | |
---|
| 1185 | END DO ! ij |
---|
| 1186 | |
---|
[921] | 1187 | !-------------------------------------------------------------------- |
---|
| 1188 | ! 3.9 Compute ridging ice enthalpy, remove it from ridging ice and |
---|
| 1189 | ! compute ridged ice enthalpy |
---|
| 1190 | !-------------------------------------------------------------------- |
---|
[825] | 1191 | DO jk = 1, nlay_i |
---|
[868] | 1192 | !CDIR NODEP |
---|
[825] | 1193 | DO ij = 1, icells |
---|
[921] | 1194 | ji = indxi(ij) |
---|
| 1195 | jj = indxj(ij) |
---|
| 1196 | ! heat content of ridged ice |
---|
[2715] | 1197 | erdg1(ji,jj,jk) = eicen_init(ji,jj,jk,jl1) * afrac(ji,jj) / ( 1._wp + ridge_por ) |
---|
[921] | 1198 | eirft(ji,jj,jk) = eicen_init(ji,jj,jk,jl1) * afrft(ji,jj) |
---|
[2715] | 1199 | e_i (ji,jj,jk,jl1) = e_i(ji,jj,jk,jl1) - erdg1(ji,jj,jk) - eirft(ji,jj,jk) |
---|
[921] | 1200 | ! sea water heat content |
---|
| 1201 | ztmelts = - tmut * sss_m(ji,jj) + rtt |
---|
| 1202 | ! heat content per unit volume |
---|
| 1203 | zdummy0 = - rcp * ( sst_m(ji,jj) + rt0 - rtt ) * vsw(ji,jj) |
---|
[825] | 1204 | |
---|
[921] | 1205 | ! corrected sea water salinity |
---|
[2715] | 1206 | zindb = MAX( 0._wp , SIGN( 1._wp , vsw(ji,jj) - zeps ) ) |
---|
| 1207 | zdummy = zindb * ( srdg1(ji,jj) - srdg2(ji,jj) ) / MAX( ridge_por * vsw(ji,jj), zeps ) |
---|
[825] | 1208 | |
---|
[921] | 1209 | ztmelts = - tmut * zdummy + rtt |
---|
| 1210 | ersw(ji,jj,jk) = - rcp * ( ztmelts - rtt ) * vsw(ji,jj) |
---|
[825] | 1211 | |
---|
[921] | 1212 | ! heat flux |
---|
[2715] | 1213 | fheat_rpo(ji,jj) = fheat_rpo(ji,jj) + ( ersw(ji,jj,jk) - zdummy0 ) / rdt_ice |
---|
[825] | 1214 | |
---|
[921] | 1215 | ! Correct dimensions to avoid big values |
---|
[2715] | 1216 | ersw(ji,jj,jk) = ersw(ji,jj,jk) * 1.e-09 |
---|
[825] | 1217 | |
---|
[921] | 1218 | ! Mutliply by ice volume, and divide by number of layers to get heat content in 10^9 J |
---|
[2715] | 1219 | ersw (ji,jj,jk) = ersw(ji,jj,jk) * area(ji,jj) * vsw(ji,jj) / nlay_i |
---|
[825] | 1220 | |
---|
[921] | 1221 | erdg2(ji,jj,jk) = erdg1(ji,jj,jk) + ersw(ji,jj,jk) |
---|
[825] | 1222 | END DO ! ij |
---|
| 1223 | END DO !jk |
---|
| 1224 | |
---|
| 1225 | |
---|
[2715] | 1226 | IF( con_i ) THEN |
---|
[825] | 1227 | DO jk = 1, nlay_i |
---|
[868] | 1228 | !CDIR NODEP |
---|
[825] | 1229 | DO ij = 1, icells |
---|
| 1230 | ji = indxi(ij) |
---|
| 1231 | jj = indxj(ij) |
---|
[2715] | 1232 | eice_init(ji,jj) = eice_init(ji,jj) + erdg2(ji,jj,jk) - erdg1(ji,jj,jk) |
---|
[825] | 1233 | END DO ! ij |
---|
| 1234 | END DO !jk |
---|
| 1235 | ENDIF |
---|
| 1236 | |
---|
[2715] | 1237 | IF( large_afrac ) THEN ! there is a bug |
---|
[868] | 1238 | !CDIR NODEP |
---|
[825] | 1239 | DO ij = 1, icells |
---|
| 1240 | ji = indxi(ij) |
---|
| 1241 | jj = indxj(ij) |
---|
[2715] | 1242 | IF( afrac(ji,jj) > 1.0 + epsi11 ) THEN |
---|
[825] | 1243 | WRITE(numout,*) '' |
---|
| 1244 | WRITE(numout,*) ' ardg > a_i' |
---|
[2715] | 1245 | WRITE(numout,*) ' ardg, aicen_init : ', ardg1(ji,jj), aicen_init(ji,jj,jl1) |
---|
| 1246 | ENDIF |
---|
| 1247 | END DO |
---|
| 1248 | ENDIF |
---|
| 1249 | IF( large_afrft ) THEN ! there is a bug |
---|
[868] | 1250 | !CDIR NODEP |
---|
[825] | 1251 | DO ij = 1, icells |
---|
| 1252 | ji = indxi(ij) |
---|
| 1253 | jj = indxj(ij) |
---|
[2715] | 1254 | IF( afrft(ji,jj) > 1.0 + epsi11 ) THEN |
---|
[825] | 1255 | WRITE(numout,*) '' |
---|
| 1256 | WRITE(numout,*) ' arft > a_i' |
---|
[2715] | 1257 | WRITE(numout,*) ' arft, aicen_init : ', arft1(ji,jj), aicen_init(ji,jj,jl1) |
---|
| 1258 | ENDIF |
---|
| 1259 | END DO |
---|
| 1260 | ENDIF |
---|
[825] | 1261 | |
---|
[921] | 1262 | !------------------------------------------------------------------------------- |
---|
| 1263 | ! 4) Add area, volume, and energy of new ridge to each category jl2 |
---|
| 1264 | !------------------------------------------------------------------------------- |
---|
| 1265 | ! jl1 looping 1-jpl |
---|
[825] | 1266 | DO jl2 = ice_cat_bounds(1,1), ice_cat_bounds(1,2) |
---|
[921] | 1267 | ! over categories to which ridged ice is transferred |
---|
[868] | 1268 | !CDIR NODEP |
---|
[825] | 1269 | DO ij = 1, icells |
---|
| 1270 | ji = indxi(ij) |
---|
| 1271 | jj = indxj(ij) |
---|
| 1272 | |
---|
| 1273 | ! Compute the fraction of ridged ice area and volume going to |
---|
| 1274 | ! thickness category jl2. |
---|
| 1275 | ! Transfer area, volume, and energy accordingly. |
---|
| 1276 | |
---|
| 1277 | IF (hrmin(ji,jj,jl1) .GE. hi_max(jl2) .OR. & |
---|
[921] | 1278 | hrmax(ji,jj,jl1) .LE. hi_max(jl2-1)) THEN |
---|
[825] | 1279 | hL = 0.0 |
---|
| 1280 | hR = 0.0 |
---|
| 1281 | ELSE |
---|
| 1282 | hL = MAX (hrmin(ji,jj,jl1), hi_max(jl2-1)) |
---|
| 1283 | hR = MIN (hrmax(ji,jj,jl1), hi_max(jl2)) |
---|
| 1284 | ENDIF |
---|
| 1285 | |
---|
| 1286 | ! fraction of ridged ice area and volume going to n2 |
---|
| 1287 | farea = (hR-hL) / dhr(ji,jj) |
---|
| 1288 | fvol(ji,jj) = (hR*hR - hL*hL) / dhr2(ji,jj) |
---|
| 1289 | |
---|
[2715] | 1290 | a_i (ji,jj,jl2) = a_i (ji,jj,jl2) + ardg2 (ji,jj) * farea |
---|
| 1291 | v_i (ji,jj,jl2) = v_i (ji,jj,jl2) + vrdg2 (ji,jj) * fvol(ji,jj) |
---|
| 1292 | v_s (ji,jj,jl2) = v_s (ji,jj,jl2) + vsrdg (ji,jj) * fvol(ji,jj) * fsnowrdg |
---|
| 1293 | e_s (ji,jj,1,jl2) = e_s (ji,jj,1,jl2) + esrdg (ji,jj) * fvol(ji,jj) * fsnowrdg |
---|
| 1294 | smv_i(ji,jj,jl2) = smv_i(ji,jj,jl2) + srdg2 (ji,jj) * fvol(ji,jj) |
---|
| 1295 | oa_i (ji,jj,jl2) = oa_i (ji,jj,jl2) + oirdg2(ji,jj) * farea |
---|
[825] | 1296 | |
---|
| 1297 | END DO ! ij |
---|
| 1298 | |
---|
| 1299 | ! Transfer ice energy to category jl2 by ridging |
---|
| 1300 | DO jk = 1, nlay_i |
---|
[868] | 1301 | !CDIR NODEP |
---|
[825] | 1302 | DO ij = 1, icells |
---|
| 1303 | ji = indxi(ij) |
---|
| 1304 | jj = indxj(ij) |
---|
[2715] | 1305 | e_i(ji,jj,jk,jl2) = e_i(ji,jj,jk,jl2) + fvol(ji,jj)*erdg2(ji,jj,jk) |
---|
| 1306 | END DO |
---|
| 1307 | END DO |
---|
| 1308 | ! |
---|
[825] | 1309 | END DO ! jl2 (new ridges) |
---|
| 1310 | |
---|
[2715] | 1311 | DO jl2 = ice_cat_bounds(1,1), ice_cat_bounds(1,2) |
---|
[825] | 1312 | |
---|
[868] | 1313 | !CDIR NODEP |
---|
[825] | 1314 | DO ij = 1, icells |
---|
| 1315 | ji = indxi(ij) |
---|
| 1316 | jj = indxj(ij) |
---|
| 1317 | ! Compute the fraction of rafted ice area and volume going to |
---|
| 1318 | ! thickness category jl2, transfer area, volume, and energy accordingly. |
---|
[921] | 1319 | |
---|
[825] | 1320 | IF (hraft(ji,jj,jl1) .LE. hi_max(jl2) .AND. & |
---|
[921] | 1321 | hraft(ji,jj,jl1) .GT. hi_max(jl2-1)) THEN |
---|
[825] | 1322 | a_i(ji,jj,jl2) = a_i(ji,jj,jl2) + arft2(ji,jj) |
---|
| 1323 | v_i(ji,jj,jl2) = v_i(ji,jj,jl2) + virft(ji,jj) |
---|
[2715] | 1324 | v_s(ji,jj,jl2) = v_s(ji,jj,jl2) + vsrft(ji,jj)*fsnowrft |
---|
| 1325 | e_s(ji,jj,1,jl2) = e_s(ji,jj,1,jl2) + esrft(ji,jj)*fsnowrft |
---|
| 1326 | smv_i(ji,jj,jl2) = smv_i(ji,jj,jl2) + smrft(ji,jj) |
---|
| 1327 | oa_i(ji,jj,jl2) = oa_i(ji,jj,jl2) + oirft2(ji,jj) |
---|
[825] | 1328 | ENDIF ! hraft |
---|
| 1329 | |
---|
| 1330 | END DO ! ij |
---|
| 1331 | |
---|
| 1332 | ! Transfer rafted ice energy to category jl2 |
---|
| 1333 | DO jk = 1, nlay_i |
---|
[868] | 1334 | !CDIR NODEP |
---|
[825] | 1335 | DO ij = 1, icells |
---|
| 1336 | ji = indxi(ij) |
---|
| 1337 | jj = indxj(ij) |
---|
| 1338 | IF (hraft(ji,jj,jl1) .LE. hi_max(jl2) .AND. & |
---|
[921] | 1339 | hraft(ji,jj,jl1) .GT. hi_max(jl2-1)) THEN |
---|
[2715] | 1340 | e_i(ji,jj,jk,jl2) = e_i(ji,jj,jk,jl2) + eirft(ji,jj,jk) |
---|
[825] | 1341 | ENDIF |
---|
| 1342 | END DO ! ij |
---|
| 1343 | END DO !jk |
---|
| 1344 | |
---|
| 1345 | END DO ! jl2 |
---|
| 1346 | |
---|
| 1347 | END DO ! jl1 (deforming categories) |
---|
| 1348 | |
---|
| 1349 | ! Conservation check |
---|
| 1350 | IF ( con_i ) THEN |
---|
| 1351 | CALL lim_column_sum (jpl, v_i, vice_final) |
---|
| 1352 | fieldid = ' v_i : limitd_me ' |
---|
| 1353 | CALL lim_cons_check (vice_init, vice_final, 1.0e-6, fieldid) |
---|
[888] | 1354 | WRITE(numout,*) ' vice_init : ', vice_init(jiindx,jjindx) |
---|
| 1355 | WRITE(numout,*) ' vice_final : ', vice_final(jiindx,jjindx) |
---|
[825] | 1356 | |
---|
| 1357 | CALL lim_column_sum_energy (jpl, nlay_i, e_i, eice_final ) |
---|
| 1358 | fieldid = ' e_i : limitd_me ' |
---|
| 1359 | CALL lim_cons_check (eice_init, eice_final, 1.0e-2, fieldid) |
---|
[888] | 1360 | WRITE(numout,*) ' eice_init : ', eice_init(jiindx,jjindx) |
---|
| 1361 | WRITE(numout,*) ' eice_final : ', eice_final(jiindx,jjindx) |
---|
[825] | 1362 | ENDIF |
---|
[2715] | 1363 | ! |
---|
[3148] | 1364 | CALL wrk_dealloc( (jpi+1)*(jpj+1), indxi, indxj ) |
---|
| 1365 | CALL wrk_dealloc( jpi, jpj, vice_init, vice_final, eice_init, eice_final ) |
---|
| 1366 | CALL wrk_dealloc( jpi, jpj, afrac, fvol , ardg1, ardg2, vsrdg, esrdg, oirdg1, oirdg2, dhr, dhr2 ) |
---|
| 1367 | CALL wrk_dealloc( jpi, jpj, vrdg1, vrdg2, vsw , srdg1, srdg2, smsw ) |
---|
| 1368 | CALL wrk_dealloc( jpi, jpj, afrft, arft1, arft2, virft, vsrft, esrft, smrft, oirft1, oirft2 ) |
---|
| 1369 | CALL wrk_dealloc( jpi, jpj, jpl, aicen_init, vicen_init, vsnon_init, esnon_init, smv_i_init, oa_i_init ) |
---|
| 1370 | CALL wrk_dealloc( jpi, jpj, jkmax, eirft, erdg1, erdg2, ersw ) |
---|
| 1371 | CALL wrk_dealloc( jpi, jpj, jkmax, jpl, eicen_init ) |
---|
| 1372 | ! |
---|
[825] | 1373 | END SUBROUTINE lim_itd_me_ridgeshift |
---|
| 1374 | |
---|
| 1375 | |
---|
[2715] | 1376 | SUBROUTINE lim_itd_me_asumr |
---|
[921] | 1377 | !!----------------------------------------------------------------------------- |
---|
| 1378 | !! *** ROUTINE lim_itd_me_asumr *** |
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| 1379 | !! |
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[2715] | 1380 | !! ** Purpose : finds total fractional area |
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[921] | 1381 | !! |
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[2715] | 1382 | !! ** Method : Find the total area of ice plus open water in each grid cell. |
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| 1383 | !! This is similar to the aggregate_area subroutine except that the |
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| 1384 | !! total area can be greater than 1, so the open water area is |
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| 1385 | !! included in the sum instead of being computed as a residual. |
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| 1386 | !!----------------------------------------------------------------------------- |
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| 1387 | INTEGER :: jl ! dummy loop index |
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| 1388 | !!----------------------------------------------------------------------------- |
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| 1389 | ! |
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| 1390 | asum(:,:) = ato_i(:,:) ! open water |
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| 1391 | DO jl = 1, jpl ! ice categories |
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| 1392 | asum(:,:) = asum(:,:) + a_i(:,:,jl) |
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[825] | 1393 | END DO |
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[2715] | 1394 | ! |
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[825] | 1395 | END SUBROUTINE lim_itd_me_asumr |
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| 1396 | |
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| 1397 | |
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[2715] | 1398 | SUBROUTINE lim_itd_me_init |
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[825] | 1399 | !!------------------------------------------------------------------- |
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| 1400 | !! *** ROUTINE lim_itd_me_init *** |
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| 1401 | !! |
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| 1402 | !! ** Purpose : Physical constants and parameters linked |
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| 1403 | !! to the mechanical ice redistribution |
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| 1404 | !! |
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| 1405 | !! ** Method : Read the namiceitdme namelist |
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| 1406 | !! and check the parameters values |
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| 1407 | !! called at the first timestep (nit000) |
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| 1408 | !! |
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| 1409 | !! ** input : Namelist namiceitdme |
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| 1410 | !!------------------------------------------------------------------- |
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| 1411 | NAMELIST/namiceitdme/ ridge_scheme_swi, Cs, Cf, fsnowrdg, fsnowrft,& |
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[921] | 1412 | Gstar, astar, & |
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| 1413 | Hstar, raftswi, hparmeter, Craft, ridge_por, & |
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| 1414 | sal_max_ridge, partfun_swi, transfun_swi, & |
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| 1415 | brinstren_swi |
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[825] | 1416 | !!------------------------------------------------------------------- |
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[2715] | 1417 | ! |
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| 1418 | REWIND( numnam_ice ) ! read namiceitdme namelist |
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[825] | 1419 | READ ( numnam_ice , namiceitdme) |
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[2715] | 1420 | ! |
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| 1421 | IF (lwp) THEN ! control print |
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[825] | 1422 | WRITE(numout,*) |
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| 1423 | WRITE(numout,*)' lim_itd_me_init : ice parameters for mechanical ice redistribution ' |
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| 1424 | WRITE(numout,*)' ~~~~~~~~~~~~~~~' |
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| 1425 | WRITE(numout,*)' Switch choosing the ice redistribution scheme ridge_scheme_swi', ridge_scheme_swi |
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| 1426 | WRITE(numout,*)' Fraction of shear energy contributing to ridging Cs ', Cs |
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| 1427 | WRITE(numout,*)' Ratio of ridging work to PotEner change in ridging Cf ', Cf |
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| 1428 | WRITE(numout,*)' Fraction of snow volume conserved during ridging fsnowrdg ', fsnowrdg |
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| 1429 | WRITE(numout,*)' Fraction of snow volume conserved during ridging fsnowrft ', fsnowrft |
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| 1430 | WRITE(numout,*)' Fraction of total ice coverage contributing to ridging Gstar ', Gstar |
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| 1431 | WRITE(numout,*)' Equivalent to G* for an exponential part function astar ', astar |
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| 1432 | WRITE(numout,*)' Quantity playing a role in max ridged ice thickness Hstar ', Hstar |
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| 1433 | WRITE(numout,*)' Rafting of ice sheets or not raftswi ', raftswi |
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| 1434 | WRITE(numout,*)' Parmeter thickness (threshold between ridge-raft) hparmeter ', hparmeter |
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| 1435 | WRITE(numout,*)' Rafting hyperbolic tangent coefficient Craft ', Craft |
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| 1436 | WRITE(numout,*)' Initial porosity of ridges ridge_por ', ridge_por |
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| 1437 | WRITE(numout,*)' Maximum salinity of ridging ice sal_max_ridge ', sal_max_ridge |
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| 1438 | WRITE(numout,*)' Switch for part. function (0) linear (1) exponential partfun_swi ', partfun_swi |
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| 1439 | WRITE(numout,*)' Switch for tran. function (0) linear (1) exponential transfun_swi ', transfun_swi |
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| 1440 | WRITE(numout,*)' Switch for including brine volume in ice strength comp. brinstren_swi ', brinstren_swi |
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| 1441 | ENDIF |
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[2715] | 1442 | ! |
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[825] | 1443 | END SUBROUTINE lim_itd_me_init |
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| 1444 | |
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| 1445 | |
---|
| 1446 | SUBROUTINE lim_itd_me_zapsmall |
---|
| 1447 | !!------------------------------------------------------------------- |
---|
| 1448 | !! *** ROUTINE lim_itd_me_zapsmall *** |
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| 1449 | !! |
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| 1450 | !! ** Purpose : Remove too small sea ice areas and correct salt fluxes |
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| 1451 | !! |
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| 1452 | !! history : |
---|
| 1453 | !! author: William H. Lipscomb, LANL |
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| 1454 | !! Nov 2003: Modified by Julie Schramm to conserve volume and energy |
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| 1455 | !! Sept 2004: Modified by William Lipscomb; replaced normalize_state with |
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| 1456 | !! additions to local freshwater, salt, and heat fluxes |
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| 1457 | !! 9.0, LIM3.0 - 02-2006 (M. Vancoppenolle) original code |
---|
| 1458 | !!------------------------------------------------------------------- |
---|
[2715] | 1459 | INTEGER :: ji, jj, jl, jk ! dummy loop indices |
---|
| 1460 | INTEGER :: icells ! number of cells with ice to zap |
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[825] | 1461 | |
---|
[3148] | 1462 | REAL(wp), POINTER, DIMENSION(:,:) :: zmask ! 2D workspace |
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[2715] | 1463 | |
---|
| 1464 | !!gm REAL(wp) :: xtmp ! temporary variable |
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| 1465 | !!------------------------------------------------------------------- |
---|
[825] | 1466 | |
---|
[3148] | 1467 | CALL wrk_alloc( jpi, jpj, zmask ) |
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| 1468 | |
---|
[825] | 1469 | DO jl = 1, jpl |
---|
| 1470 | |
---|
[921] | 1471 | !----------------------------------------------------------------- |
---|
| 1472 | ! Count categories to be zapped. |
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| 1473 | ! Abort model in case of negative area. |
---|
| 1474 | !----------------------------------------------------------------- |
---|
| 1475 | IF( MINVAL(a_i(:,:,jl)) .LT. -epsi11 .AND. ln_nicep ) THEN |
---|
[868] | 1476 | DO jj = 1, jpj |
---|
| 1477 | DO ji = 1, jpi |
---|
| 1478 | IF ( a_i(ji,jj,jl) .LT. -epsi11 ) THEN |
---|
| 1479 | WRITE (numout,*) ' ALERTE 98 ' |
---|
| 1480 | WRITE (numout,*) ' Negative ice area: ji, jj, jl: ', ji, jj,jl |
---|
| 1481 | WRITE (numout,*) ' a_i ', a_i(ji,jj,jl) |
---|
| 1482 | ENDIF |
---|
| 1483 | END DO |
---|
[921] | 1484 | END DO |
---|
[868] | 1485 | ENDIF |
---|
[921] | 1486 | |
---|
| 1487 | icells = 0 |
---|
[2715] | 1488 | zmask = 0._wp |
---|
[921] | 1489 | DO jj = 1, jpj |
---|
| 1490 | DO ji = 1, jpi |
---|
[2715] | 1491 | IF( ( a_i(ji,jj,jl) .GE. -epsi11 .AND. a_i(ji,jj,jl) .LT. 0._wp ) .OR. & |
---|
| 1492 | & ( a_i(ji,jj,jl) .GT. 0._wp .AND. a_i(ji,jj,jl) .LE. 1.0e-11 ) .OR. & |
---|
| 1493 | & ( v_i(ji,jj,jl) == 0._wp .AND. a_i(ji,jj,jl) .GT. 0._wp ) .OR. & |
---|
| 1494 | & ( v_i(ji,jj,jl) .GT. 0._wp .AND. v_i(ji,jj,jl) .LT. 1.e-12 ) ) zmask(ji,jj) = 1._wp |
---|
[921] | 1495 | END DO |
---|
[825] | 1496 | END DO |
---|
[2715] | 1497 | IF( ln_nicep ) WRITE(numout,*) SUM(zmask), ' cells of ice zapped in the ocean ' |
---|
[825] | 1498 | |
---|
[921] | 1499 | !----------------------------------------------------------------- |
---|
| 1500 | ! Zap ice energy and use ocean heat to melt ice |
---|
| 1501 | !----------------------------------------------------------------- |
---|
[825] | 1502 | |
---|
| 1503 | DO jk = 1, nlay_i |
---|
[868] | 1504 | DO jj = 1 , jpj |
---|
| 1505 | DO ji = 1 , jpi |
---|
[2715] | 1506 | !!gm xtmp = e_i(ji,jj,jk,jl) / area(ji,jj) / rdt_ice |
---|
| 1507 | !!gm xtmp = xtmp * unit_fac |
---|
| 1508 | ! fheat_res(ji,jj) = fheat_res(ji,jj) - xtmp |
---|
[921] | 1509 | e_i(ji,jj,jk,jl) = e_i(ji,jj,jk,jl) * ( 1 - zmask(ji,jj) ) |
---|
[2715] | 1510 | END DO |
---|
| 1511 | END DO |
---|
| 1512 | END DO |
---|
[825] | 1513 | |
---|
[868] | 1514 | DO jj = 1 , jpj |
---|
| 1515 | DO ji = 1 , jpi |
---|
[825] | 1516 | |
---|
[921] | 1517 | !----------------------------------------------------------------- |
---|
| 1518 | ! Zap snow energy and use ocean heat to melt snow |
---|
| 1519 | !----------------------------------------------------------------- |
---|
| 1520 | ! xtmp = esnon(i,j,n) / dt ! < 0 |
---|
| 1521 | ! fhnet(i,j) = fhnet(i,j) + xtmp |
---|
| 1522 | ! fhnet_hist(i,j) = fhnet_hist(i,j) + xtmp |
---|
| 1523 | ! xtmp is greater than 0 |
---|
| 1524 | ! fluxes are positive to the ocean |
---|
| 1525 | ! here the flux has to be negative for the ocean |
---|
[2715] | 1526 | !!gm xtmp = ( rhosn*cpic*( rtt-t_s(ji,jj,1,jl) ) + rhosn*lfus ) / rdt_ice |
---|
[921] | 1527 | ! fheat_res(ji,jj) = fheat_res(ji,jj) - xtmp |
---|
[825] | 1528 | |
---|
[2715] | 1529 | !!gm xtmp = ( rhosn*cpic*( rtt-t_s(ji,jj,1,jl) ) + rhosn*lfus ) / rdt_ice !RB ??????? |
---|
[825] | 1530 | |
---|
[921] | 1531 | t_s(ji,jj,1,jl) = rtt * zmask(ji,jj) + t_s(ji,jj,1,jl) * ( 1 - zmask(ji,jj) ) |
---|
[868] | 1532 | |
---|
[921] | 1533 | !----------------------------------------------------------------- |
---|
| 1534 | ! zap ice and snow volume, add water and salt to ocean |
---|
| 1535 | !----------------------------------------------------------------- |
---|
[825] | 1536 | |
---|
[921] | 1537 | ! xtmp = (rhoi*vicen(i,j,n) + rhos*vsnon(i,j,n)) / dt |
---|
| 1538 | ! fresh(i,j) = fresh(i,j) + xtmp |
---|
| 1539 | ! fresh_hist(i,j) = fresh_hist(i,j) + xtmp |
---|
[825] | 1540 | |
---|
[921] | 1541 | ! fsalt_res(ji,jj) = fsalt_res(ji,jj) + ( sss_m(ji,jj) ) * & |
---|
| 1542 | ! rhosn * v_s(ji,jj,jl) / rdt_ice |
---|
[825] | 1543 | |
---|
[921] | 1544 | ! fsalt_res(ji,jj) = fsalt_res(ji,jj) + ( sss_m(ji,jj) - sm_i(ji,jj,jl) ) * & |
---|
| 1545 | ! rhoic * v_i(ji,jj,jl) / rdt_ice |
---|
[825] | 1546 | |
---|
[921] | 1547 | ! emps(i,j) = emps(i,j) + xtmp |
---|
| 1548 | ! fsalt_hist(i,j) = fsalt_hist(i,j) + xtmp |
---|
[825] | 1549 | |
---|
[2715] | 1550 | ato_i(ji,jj) = a_i (ji,jj,jl) * zmask(ji,jj) + ato_i(ji,jj) |
---|
| 1551 | a_i (ji,jj,jl) = a_i (ji,jj,jl) * ( 1 - zmask(ji,jj) ) |
---|
| 1552 | v_i (ji,jj,jl) = v_i (ji,jj,jl) * ( 1 - zmask(ji,jj) ) |
---|
| 1553 | v_s (ji,jj,jl) = v_s (ji,jj,jl) * ( 1 - zmask(ji,jj) ) |
---|
| 1554 | t_su (ji,jj,jl) = t_su (ji,jj,jl) * ( 1 - zmask(ji,jj) ) + t_bo(ji,jj) * zmask(ji,jj) |
---|
| 1555 | oa_i (ji,jj,jl) = oa_i (ji,jj,jl) * ( 1 - zmask(ji,jj) ) |
---|
[921] | 1556 | smv_i(ji,jj,jl) = smv_i(ji,jj,jl) * ( 1 - zmask(ji,jj) ) |
---|
[2715] | 1557 | ! |
---|
| 1558 | END DO |
---|
| 1559 | END DO |
---|
| 1560 | ! |
---|
[825] | 1561 | END DO ! jl |
---|
[2715] | 1562 | ! |
---|
[3148] | 1563 | CALL wrk_dealloc( jpi, jpj, zmask ) |
---|
| 1564 | ! |
---|
[825] | 1565 | END SUBROUTINE lim_itd_me_zapsmall |
---|
| 1566 | |
---|
| 1567 | #else |
---|
[2715] | 1568 | !!---------------------------------------------------------------------- |
---|
| 1569 | !! Default option Empty module NO LIM-3 sea-ice model |
---|
| 1570 | !!---------------------------------------------------------------------- |
---|
[825] | 1571 | CONTAINS |
---|
| 1572 | SUBROUTINE lim_itd_me ! Empty routines |
---|
| 1573 | END SUBROUTINE lim_itd_me |
---|
| 1574 | SUBROUTINE lim_itd_me_icestrength |
---|
| 1575 | END SUBROUTINE lim_itd_me_icestrength |
---|
| 1576 | SUBROUTINE lim_itd_me_sort |
---|
| 1577 | END SUBROUTINE lim_itd_me_sort |
---|
| 1578 | SUBROUTINE lim_itd_me_init |
---|
| 1579 | END SUBROUTINE lim_itd_me_init |
---|
| 1580 | SUBROUTINE lim_itd_me_zapsmall |
---|
| 1581 | END SUBROUTINE lim_itd_me_zapsmall |
---|
| 1582 | #endif |
---|
[2715] | 1583 | !!====================================================================== |
---|
[825] | 1584 | END MODULE limitd_me |
---|