[8534] | 1 | MODULE icedyn_rdgrft |
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| 2 | !!====================================================================== |
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| 3 | !! *** MODULE icedyn_rdgrft *** |
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| 4 | !! sea-ice : Mechanical impact on ice thickness distribution |
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| 5 | !!====================================================================== |
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| 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 & sfx_dyn |
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| 8 | !! 4.0 ! 2011-02 (G. Madec) dynamical allocation |
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| 9 | !!---------------------------------------------------------------------- |
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| 10 | #if defined key_lim3 |
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| 11 | !!---------------------------------------------------------------------- |
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| 12 | !! 'key_lim3' ESIM sea-ice model |
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| 13 | !!---------------------------------------------------------------------- |
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| 14 | !! ice_dyn_rdgrft : ridging/rafting of sea ice |
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| 15 | !! ice_dyn_rdgrft_init : initialization of ridging/rafting of sea ice |
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| 16 | !! ice_strength : ice strength calculation |
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| 17 | !!---------------------------------------------------------------------- |
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| 18 | USE dom_oce ! ocean domain |
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| 19 | USE phycst ! physical constants (ocean directory) |
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| 20 | USE sbc_oce , ONLY : sss_m, sst_m ! surface boundary condition: ocean fields |
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| 21 | USE ice1D ! sea-ice: thermodynamics |
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| 22 | USE ice ! sea-ice: variables |
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[8554] | 23 | USE icetab ! sea-ice: 1D <==> 2D transformation |
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[8534] | 24 | USE icevar ! sea-ice: operations |
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| 25 | USE icectl ! sea-ice: control prints |
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| 26 | ! |
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| 27 | USE in_out_manager ! I/O manager |
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| 28 | USE iom ! I/O manager library |
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| 29 | USE lib_mpp ! MPP library |
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| 30 | USE lib_fortran ! fortran utilities (glob_sum + no signed zero) |
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| 31 | USE lbclnk ! lateral boundary conditions (or mpp links) |
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| 32 | USE timing ! Timing |
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| 33 | |
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| 34 | IMPLICIT NONE |
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| 35 | PRIVATE |
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| 36 | |
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| 37 | PUBLIC ice_dyn_rdgrft ! called by icestp |
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| 38 | PUBLIC ice_dyn_rdgrft_init ! called by icedyn |
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| 39 | PUBLIC ice_strength ! called by icedyn_rhg_evp |
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| 40 | |
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| 41 | ! Variables shared among ridging subroutines |
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[8554] | 42 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:) :: closing_net ! net rate at which area is removed (1/s) |
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| 43 | ! ! (ridging ice area - area of new ridges) / dt |
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| 44 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:) :: opning ! rate of opening due to divergence/shear |
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| 45 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:) :: closing_gross ! rate at which area removed, not counting area of new ridges |
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| 46 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: apartf ! participation function; fraction of ridging/closing associated w/ category n |
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| 47 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: hrmin ! minimum ridge thickness |
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| 48 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: hrmax ! maximum ridge thickness |
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| 49 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: hraft ! thickness of rafted ice |
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| 50 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: hi_hrdg ! thickness of ridging ice / mean ridge thickness |
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| 51 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: aridge ! participating ice ridging |
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| 52 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: araft ! participating ice rafting |
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| 53 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: ze_i_2d |
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| 54 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: ze_s_2d |
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[8534] | 55 | ! |
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| 56 | REAL(wp), PARAMETER :: hrdg_hi_min = 1.1_wp ! min ridge thickness multiplier: min(hrdg/hi) |
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| 57 | REAL(wp), PARAMETER :: hi_hrft = 0.5_wp ! rafting multipliyer: (hi/hraft) |
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| 58 | ! |
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| 59 | ! ** namelist (namdyn_rdgrft) ** |
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| 60 | LOGICAL :: ln_str_H79 ! ice strength parameterization (Hibler79) |
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| 61 | REAL(wp) :: rn_pstar ! determines ice strength, Hibler JPO79 |
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| 62 | REAL(wp) :: rn_crhg ! determines changes in ice strength |
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| 63 | LOGICAL :: ln_str_R75 ! ice strength parameterization (Rothrock75) |
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| 64 | REAL(wp) :: rn_perdg ! ridging work divided by pot. energy change in ridging |
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| 65 | REAL(wp) :: rn_csrdg ! fraction of shearing energy contributing to ridging |
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| 66 | LOGICAL :: ln_partf_lin ! participation function linear (Thorndike et al. (1975)) |
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| 67 | REAL(wp) :: rn_gstar ! fractional area of young ice contributing to ridging |
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| 68 | LOGICAL :: ln_partf_exp ! participation function exponential (Lipscomb et al. (2007)) |
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| 69 | REAL(wp) :: rn_astar ! equivalent of G* for an exponential participation function |
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| 70 | LOGICAL :: ln_ridging ! ridging of ice or not |
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| 71 | REAL(wp) :: rn_hstar ! thickness that determines the maximal thickness of ridged ice |
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| 72 | REAL(wp) :: rn_porordg ! initial porosity of ridges (0.3 regular value) |
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| 73 | REAL(wp) :: rn_fsnwrdg ! fractional snow loss to the ocean during ridging |
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| 74 | REAL(wp) :: rn_fpndrdg ! fractional pond loss to the ocean during ridging |
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| 75 | LOGICAL :: ln_rafting ! rafting of ice or not |
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| 76 | REAL(wp) :: rn_hraft ! threshold thickness (m) for rafting / ridging |
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| 77 | REAL(wp) :: rn_craft ! coefficient for smoothness of the hyperbolic tangent in rafting |
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| 78 | REAL(wp) :: rn_fsnwrft ! fractional snow loss to the ocean during rafting |
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| 79 | REAL(wp) :: rn_fpndrft ! fractional pond loss to the ocean during rafting |
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| 80 | ! |
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| 81 | !!---------------------------------------------------------------------- |
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| 82 | !! NEMO/ICE 4.0 , NEMO Consortium (2017) |
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| 83 | !! $Id: icedyn_rdgrft.F90 8378 2017-07-26 13:55:59Z clem $ |
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| 84 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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| 85 | !!---------------------------------------------------------------------- |
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| 86 | CONTAINS |
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| 87 | |
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| 88 | INTEGER FUNCTION ice_dyn_rdgrft_alloc() |
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[8554] | 89 | !!------------------------------------------------------------------- |
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[8534] | 90 | !! *** ROUTINE ice_dyn_rdgrft_alloc *** |
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[8554] | 91 | !!------------------------------------------------------------------- |
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| 92 | ALLOCATE( closing_net(jpij), opning(jpij) , closing_gross(jpij), & |
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| 93 | & apartf(jpij,0:jpl), hrmin(jpij,jpl), hraft(jpij,jpl) , aridge(jpij,jpl), & |
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| 94 | & hrmax(jpij,jpl), hi_hrdg(jpij,jpl) , araft (jpij,jpl), & |
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| 95 | & ze_i_2d(jpij,nlay_i,jpl), ze_s_2d(jpij,nlay_s,jpl), STAT=ice_dyn_rdgrft_alloc ) |
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[8534] | 96 | |
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| 97 | IF( lk_mpp ) CALL mpp_sum ( ice_dyn_rdgrft_alloc ) |
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| 98 | IF( ice_dyn_rdgrft_alloc /= 0 ) CALL ctl_warn( 'ice_dyn_rdgrft_alloc: failed to allocate arrays' ) |
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| 99 | ! |
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| 100 | END FUNCTION ice_dyn_rdgrft_alloc |
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| 101 | |
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| 102 | |
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| 103 | SUBROUTINE ice_dyn_rdgrft( kt ) |
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[8554] | 104 | !!------------------------------------------------------------------- |
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[8534] | 105 | !! *** ROUTINE ice_dyn_rdgrft *** |
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| 106 | !! |
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| 107 | !! ** Purpose : computes the mechanical redistribution of ice thickness |
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| 108 | !! |
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| 109 | !! ** Method : Steps : |
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| 110 | !! 1) Thickness categories boundaries, ice / o.w. concentrations |
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| 111 | !! Ridge preparation |
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| 112 | !! 2) Dynamical inputs (closing rate, divu_adv, opning) |
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| 113 | !! 3) Ridging iteration |
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| 114 | !! 4) Ridging diagnostics |
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| 115 | !! 5) Heat, salt and freshwater fluxes |
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| 116 | !! 6) Compute increments of tate variables and come back to old values |
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| 117 | !! |
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| 118 | !! References : Flato, G. M., and W. D. Hibler III, 1995, JGR, 100, 18,611-18,626. |
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| 119 | !! Hibler, W. D. III, 1980, MWR, 108, 1943-1973, 1980. |
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| 120 | !! Rothrock, D. A., 1975: JGR, 80, 4514-4519. |
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| 121 | !! Thorndike et al., 1975, JGR, 80, 4501-4513. |
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| 122 | !! Bitz et al., JGR, 2001 |
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| 123 | !! Amundrud and Melling, JGR 2005 |
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| 124 | !! Babko et al., JGR 2002 |
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| 125 | !! |
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| 126 | !! This routine is based on CICE code and authors William H. Lipscomb, |
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| 127 | !! and Elizabeth C. Hunke, LANL are gratefully acknowledged |
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[8554] | 128 | !!------------------------------------------------------------------- |
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[8534] | 129 | INTEGER, INTENT(in) :: kt ! number of iteration |
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| 130 | !! |
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[8554] | 131 | INTEGER :: ji, jj, jk, jl ! dummy loop index |
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| 132 | INTEGER :: niter, iterate_ridging ! local integer |
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| 133 | INTEGER :: nidx2 ! local integer |
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| 134 | REAL(wp) :: zfac ! local scalar |
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| 135 | INTEGER , DIMENSION(jpij) :: idxice2 ! compute ridge/raft or not |
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| 136 | REAL(wp), DIMENSION(jpij) :: zdivu_adv ! divu as implied by transport scheme (1/s) |
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| 137 | REAL(wp), DIMENSION(jpij) :: zdivu, zdelt ! 1D divu_i & delta_i |
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[8534] | 138 | ! |
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| 139 | INTEGER, PARAMETER :: nitermax = 20 |
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[8554] | 140 | !!------------------------------------------------------------------- |
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[8534] | 141 | ! controls |
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| 142 | IF( nn_timing == 1 ) CALL timing_start('icedyn_rdgrft') ! timing |
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| 143 | IF( ln_icediachk ) CALL ice_cons_hsm(0, 'icedyn_rdgrft', rdiag_v, rdiag_s, rdiag_t, rdiag_fv, rdiag_fs, rdiag_ft) ! conservation |
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| 144 | |
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| 145 | IF( kt == nit000 ) THEN |
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| 146 | IF(lwp) WRITE(numout,*) |
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| 147 | IF(lwp) WRITE(numout,*)'ice_dyn_rdgrft: ice ridging and rafting' |
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[8554] | 148 | IF(lwp) WRITE(numout,*)'~~~~~~~~~~~~~~' |
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[8534] | 149 | ENDIF |
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| 150 | |
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[8554] | 151 | CALL ice_var_zapsmall ! Zero out categories with very small areas |
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| 152 | |
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| 153 | !-------------------------------- |
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| 154 | ! 0) Identify grid cells with ice |
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| 155 | !-------------------------------- |
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| 156 | nidx = 0 ; idxice(:) = 0 |
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| 157 | DO jj = 1, jpj |
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[8534] | 158 | DO ji = 1, jpi |
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[8554] | 159 | IF ( SUM(a_i(ji,jj,:)) > 0._wp ) THEN |
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| 160 | nidx = nidx + 1 |
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| 161 | idxice( nidx ) = (jj - 1) * jpi + ji |
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| 162 | ENDIF |
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| 163 | END DO |
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| 164 | END DO |
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| 165 | |
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| 166 | IF( nidx > 0 ) THEN |
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| 167 | |
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| 168 | ! just needed here |
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| 169 | CALL tab_2d_1d( nidx, idxice(1:nidx), zdivu(1:nidx), divu_i(:,:) ) |
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| 170 | CALL tab_2d_1d( nidx, idxice(1:nidx), zdelt(1:nidx), delta_i(:,:) ) |
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| 171 | ! needed here and in the iteration loop |
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| 172 | CALL tab_3d_2d( nidx, idxice(1:nidx), a_i_2d (1:nidx,1:jpl), a_i(:,:,:) ) |
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| 173 | CALL tab_3d_2d( nidx, idxice(1:nidx), v_i_2d (1:nidx,1:jpl), v_i(:,:,:) ) |
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| 174 | CALL tab_2d_1d( nidx, idxice(1:nidx), ato_i_1d(1:nidx) , ato_i(:,:) ) |
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| 175 | |
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| 176 | DO ji = 1, nidx |
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[8534] | 177 | !-----------------------------------------------------------------------------! |
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| 178 | ! 2) Dynamical inputs (closing rate, divu_adv, opning) |
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| 179 | !-----------------------------------------------------------------------------! |
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| 180 | ! |
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| 181 | ! 2.1 closing_net |
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| 182 | !----------------- |
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| 183 | ! Compute the net rate of closing due to convergence |
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| 184 | ! and shear, based on Flato and Hibler (1995). |
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| 185 | ! |
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| 186 | ! The energy dissipation rate is equal to the net closing rate |
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| 187 | ! times the ice strength. |
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| 188 | ! |
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| 189 | ! NOTE: The NET closing rate is equal to the rate that open water |
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| 190 | ! area is removed, plus the rate at which ice area is removed by |
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| 191 | ! ridging, minus the rate at which area is added in new ridges. |
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| 192 | ! The GROSS closing rate is equal to the first two terms (open |
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| 193 | ! water closing and thin ice ridging) without the third term |
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| 194 | ! (thick, newly ridged ice). |
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| 195 | |
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[8554] | 196 | closing_net(ji) = rn_csrdg * 0.5_wp * ( zdelt(ji) - ABS( zdivu(ji) ) ) - MIN( zdivu(ji), 0._wp ) |
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[8534] | 197 | |
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| 198 | ! 2.2 divu_adv |
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| 199 | !-------------- |
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| 200 | ! Compute divu_adv, the divergence rate given by the transport/ |
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| 201 | ! advection scheme, which may not be equal to divu as computed |
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| 202 | ! from the velocity field. |
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| 203 | ! |
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| 204 | ! If divu_adv < 0, make sure the closing rate is large enough |
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| 205 | ! to give asum = 1.0 after ridging. |
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[8554] | 206 | zdivu_adv(ji) = ( 1._wp - ato_i_1d(ji) - SUM( a_i_2d(ji,:) ) ) * r1_rdtice |
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[8534] | 207 | |
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[8554] | 208 | IF( zdivu_adv(ji) < 0._wp ) closing_net(ji) = MAX( closing_net(ji), -zdivu_adv(ji) ) |
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[8534] | 209 | |
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| 210 | ! 2.3 opning |
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| 211 | !------------ |
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| 212 | ! Compute the (non-negative) opening rate that will give asum = 1.0 after ridging. |
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[8554] | 213 | opning(ji) = closing_net(ji) + zdivu_adv(ji) |
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[8534] | 214 | END DO |
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| 215 | |
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[8554] | 216 | ! |
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| 217 | !------------------------------------------------ |
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| 218 | ! 2.1) Identify grid cells with nonzero ridging |
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| 219 | !------------------------------------------------ |
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| 220 | CALL rdgrft_prep( a_i_2d, v_i_2d, ato_i_1d ) |
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| 221 | nidx2 = 0 ; idxice2(:) = 0 |
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| 222 | DO ji = 1, nidx |
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| 223 | IF( SUM( ABS(apartf(ji,1:jpl)) ) > 0._wp .AND. closing_gross(ji) > 0._wp ) THEN |
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| 224 | nidx2 = nidx2 + 1 |
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[8555] | 225 | idxice2 (nidx2) = idxice (ji) |
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| 226 | a_i_2d (nidx2,:) = a_i_2d (ji,:) ! adjust to new indices |
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| 227 | v_i_2d (nidx2,:) = v_i_2d (ji,:) ! adjust to new indices |
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| 228 | ato_i_1d (nidx2) = ato_i_1d (ji) ! adjust to new indices |
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| 229 | closing_net(nidx2) = closing_net(ji) ! adjust to new indices |
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| 230 | zdivu_adv (nidx2) = zdivu_adv (ji) ! adjust to new indices |
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| 231 | opning (nidx2) = opning (ji) ! adjust to new indices |
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[8554] | 232 | ENDIF |
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| 233 | END DO |
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| 234 | idxice(:) = idxice2(:) |
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| 235 | nidx = nidx2 |
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[8534] | 236 | |
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[8554] | 237 | ENDIF |
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[8534] | 238 | |
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[8554] | 239 | !-------------- |
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| 240 | ! Start ridging |
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| 241 | !-------------- |
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| 242 | IF( nidx > 0 ) THEN |
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| 243 | |
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| 244 | !----------- |
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| 245 | ! 2D <==> 1D |
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| 246 | !----------- |
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| 247 | ! fields used but not modified |
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| 248 | CALL tab_2d_1d( nidx, idxice(1:nidx), sss_1d(1:nidx), sss_m(:,:) ) |
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| 249 | CALL tab_2d_1d( nidx, idxice(1:nidx), sst_1d(1:nidx), sst_m(:,:) ) |
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| 250 | ! the following fields are modified in this routine |
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| 251 | !!CALL tab_2d_1d( nidx, idxice(1:nidx), ato_i_1d(1:nidx), ato_i(:,:) ) |
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| 252 | !!CALL tab_3d_2d( nidx, idxice(1:nidx), a_i_2d(1:nidx,1:jpl), a_i(:,:,:) ) |
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| 253 | !!CALL tab_3d_2d( nidx, idxice(1:nidx), v_i_2d (1:nidx,1:jpl), v_i (:,:,:) ) |
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| 254 | CALL tab_3d_2d( nidx, idxice(1:nidx), v_s_2d (1:nidx,1:jpl), v_s (:,:,:) ) |
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| 255 | CALL tab_3d_2d( nidx, idxice(1:nidx), smv_i_2d(1:nidx,1:jpl), smv_i(:,:,:) ) |
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| 256 | CALL tab_3d_2d( nidx, idxice(1:nidx), oa_i_2d (1:nidx,1:jpl), oa_i (:,:,:) ) |
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| 257 | IF ( nn_pnd_scheme > 0 ) THEN |
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| 258 | CALL tab_3d_2d( nidx, idxice(1:nidx), a_ip_2d(1:nidx,1:jpl), a_ip(:,:,:) ) |
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| 259 | CALL tab_3d_2d( nidx, idxice(1:nidx), v_ip_2d(1:nidx,1:jpl), v_ip(:,:,:) ) |
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| 260 | ENDIF |
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[8534] | 261 | DO jl = 1, jpl |
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[8554] | 262 | DO jk = 1, nlay_s |
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| 263 | CALL tab_2d_1d( nidx, idxice(1:nidx), ze_s_2d(1:nidx,jk,jl), e_s(:,:,jk,jl) ) |
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[8534] | 264 | END DO |
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[8554] | 265 | DO jk = 1, nlay_i |
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| 266 | CALL tab_2d_1d( nidx, idxice(1:nidx), ze_i_2d(1:nidx,jk,jl), e_i(:,:,jk,jl) ) |
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| 267 | END DO |
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[8534] | 268 | END DO |
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[8554] | 269 | CALL tab_2d_1d( nidx, idxice(1:nidx), sfx_dyn_1d (1:nidx), sfx_dyn (:,:) ) |
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| 270 | CALL tab_2d_1d( nidx, idxice(1:nidx), sfx_bri_1d (1:nidx), sfx_bri (:,:) ) |
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| 271 | CALL tab_2d_1d( nidx, idxice(1:nidx), wfx_dyn_1d (1:nidx), wfx_dyn (:,:) ) |
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| 272 | CALL tab_2d_1d( nidx, idxice(1:nidx), hfx_dyn_1d (1:nidx), hfx_dyn (:,:) ) |
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| 273 | CALL tab_2d_1d( nidx, idxice(1:nidx), wfx_snw_dyn_1d(1:nidx), wfx_snw_dyn(:,:) ) |
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| 274 | IF ( nn_pnd_scheme > 0 ) THEN |
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| 275 | CALL tab_2d_1d( nidx, idxice(1:nidx), wfx_pnd_1d(1:nidx), wfx_pnd(:,:) ) |
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| 276 | ENDIF |
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[8534] | 277 | |
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| 278 | !-----------------------------------------------------------------------------! |
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[8554] | 279 | ! 3) Ridging iteration |
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| 280 | !-----------------------------------------------------------------------------! |
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| 281 | niter = 1 |
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| 282 | iterate_ridging = 1 |
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| 283 | DO WHILE( iterate_ridging > 0 .AND. niter < nitermax ) |
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[8534] | 284 | |
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[8554] | 285 | CALL rdgrft_prep( a_i_2d, v_i_2d, ato_i_1d ) |
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| 286 | |
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| 287 | ! 3.2 Redistribute area, volume, and energy. |
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| 288 | !-----------------------------------------------------------------------------! |
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| 289 | CALL rdgrft_shift |
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| 290 | |
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| 291 | ! 3.4 Do we keep on iterating? |
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| 292 | !-----------------------------------------------------------------------------! |
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| 293 | ! Check whether asum = 1. If not (because the closing and opening |
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| 294 | ! rates were reduced above), ridge again with new rates. |
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| 295 | iterate_ridging = 0 |
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| 296 | DO ji = 1, nidx |
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| 297 | zfac = 1._wp - ( ato_i_1d(ji) + SUM( a_i_2d(ji,:) ) ) |
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| 298 | IF( ABS( zfac ) < epsi10 ) THEN |
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| 299 | closing_net(ji) = 0._wp |
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| 300 | opning (ji) = 0._wp |
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| 301 | ato_i_1d (ji) = MAX( 0._wp, 1._wp - SUM( a_i_2d(ji,:) ) ) |
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[8534] | 302 | ELSE |
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[8554] | 303 | iterate_ridging = 1 |
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| 304 | zdivu_adv (ji) = zfac * r1_rdtice |
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| 305 | closing_net(ji) = MAX( 0._wp, -zdivu_adv(ji) ) |
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| 306 | opning (ji) = MAX( 0._wp, zdivu_adv(ji) ) |
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[8534] | 307 | ENDIF |
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| 308 | END DO |
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[8554] | 309 | ! |
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| 310 | niter = niter + 1 |
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| 311 | IF( niter > nitermax ) CALL ctl_warn( 'icedyn_rdgrft: non-converging ridging scheme' ) |
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| 312 | ! |
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[8534] | 313 | END DO |
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| 314 | |
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[8554] | 315 | !----------- |
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| 316 | ! 1D <==> 2D |
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| 317 | !----------- |
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| 318 | CALL tab_1d_2d( nidx, idxice(1:nidx), ato_i_1d(1:nidx), ato_i(:,:) ) |
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| 319 | CALL tab_2d_3d( nidx, idxice(1:nidx), a_i_2d(1:nidx,1:jpl), a_i(:,:,:) ) |
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| 320 | CALL tab_2d_3d( nidx, idxice(1:nidx), v_i_2d (1:nidx,1:jpl), v_i (:,:,:) ) |
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| 321 | CALL tab_2d_3d( nidx, idxice(1:nidx), v_s_2d (1:nidx,1:jpl), v_s (:,:,:) ) |
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| 322 | CALL tab_2d_3d( nidx, idxice(1:nidx), smv_i_2d(1:nidx,1:jpl), smv_i(:,:,:) ) |
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| 323 | CALL tab_2d_3d( nidx, idxice(1:nidx), oa_i_2d (1:nidx,1:jpl), oa_i (:,:,:) ) |
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| 324 | IF ( nn_pnd_scheme > 0 ) THEN |
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| 325 | CALL tab_2d_3d( nidx, idxice(1:nidx), a_ip_2d(1:nidx,1:jpl), a_ip(:,:,:) ) |
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| 326 | CALL tab_2d_3d( nidx, idxice(1:nidx), v_ip_2d(1:nidx,1:jpl), v_ip(:,:,:) ) |
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[8534] | 327 | ENDIF |
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[8554] | 328 | DO jl = 1, jpl |
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| 329 | DO jk = 1, nlay_s |
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| 330 | CALL tab_1d_2d( nidx, idxice(1:nidx), ze_s_2d(1:nidx,jk,jl), e_s(:,:,jk,jl) ) |
---|
| 331 | END DO |
---|
| 332 | DO jk = 1, nlay_i |
---|
| 333 | CALL tab_1d_2d( nidx, idxice(1:nidx), ze_i_2d(1:nidx,jk,jl), e_i(:,:,jk,jl) ) |
---|
| 334 | END DO |
---|
| 335 | END DO |
---|
| 336 | CALL tab_1d_2d( nidx, idxice(1:nidx), sfx_dyn_1d (1:nidx), sfx_dyn (:,:) ) |
---|
| 337 | CALL tab_1d_2d( nidx, idxice(1:nidx), sfx_bri_1d (1:nidx), sfx_bri (:,:) ) |
---|
| 338 | CALL tab_1d_2d( nidx, idxice(1:nidx), wfx_dyn_1d (1:nidx), wfx_dyn (:,:) ) |
---|
| 339 | CALL tab_1d_2d( nidx, idxice(1:nidx), hfx_dyn_1d (1:nidx), hfx_dyn (:,:) ) |
---|
| 340 | CALL tab_1d_2d( nidx, idxice(1:nidx), wfx_snw_dyn_1d(1:nidx), wfx_snw_dyn(:,:) ) |
---|
| 341 | IF ( nn_pnd_scheme > 0 ) THEN |
---|
| 342 | CALL tab_1d_2d( nidx, idxice(1:nidx), wfx_pnd_1d(1:nidx), wfx_pnd(:,:) ) |
---|
| 343 | ENDIF |
---|
[8534] | 344 | |
---|
[8554] | 345 | ENDIF ! nidx > 0 |
---|
| 346 | |
---|
[8534] | 347 | CALL ice_var_agg( 1 ) |
---|
| 348 | |
---|
| 349 | ! controls |
---|
| 350 | IF( ln_icediachk ) CALL ice_cons_hsm(1, 'icedyn_rdgrft', rdiag_v, rdiag_s, rdiag_t, rdiag_fv, rdiag_fs, rdiag_ft) ! conservation |
---|
| 351 | IF( ln_ctl ) CALL ice_prt3D ('icedyn_rdgrft') ! prints |
---|
| 352 | IF( nn_timing == 1 ) CALL timing_stop ('icedyn_rdgrft') ! timing |
---|
| 353 | ! |
---|
| 354 | END SUBROUTINE ice_dyn_rdgrft |
---|
| 355 | |
---|
| 356 | |
---|
[8554] | 357 | SUBROUTINE rdgrft_prep( pa_i, pv_i, pato_i ) |
---|
| 358 | !!------------------------------------------------------------------- |
---|
[8534] | 359 | !! *** ROUTINE rdgrft_prep *** |
---|
| 360 | !! |
---|
[8554] | 361 | !! ** Purpose : preparation for ridging calculations |
---|
[8534] | 362 | !! |
---|
| 363 | !! ** Method : Compute the thickness distribution of the ice and open water |
---|
| 364 | !! participating in ridging and of the resulting ridges. |
---|
[8554] | 365 | !!------------------------------------------------------------------- |
---|
| 366 | REAL(wp), DIMENSION(:) , INTENT(in) :: pato_i |
---|
| 367 | REAL(wp), DIMENSION(:,:), INTENT(in) :: pa_i, pv_i |
---|
| 368 | !! |
---|
| 369 | INTEGER :: ji, jl ! dummy loop indices |
---|
| 370 | REAL(wp) :: z1_gstar, z1_astar, zhmean, zfac ! local scalar |
---|
| 371 | REAL(wp), DIMENSION(jpij) :: zasum, z1_asum, zaksum ! sum of a_i+ato_i and reverse |
---|
| 372 | REAL(wp), DIMENSION(jpij,jpl) :: zhi ! ice thickness |
---|
| 373 | REAL(wp), DIMENSION(jpij,-1:jpl) :: zGsum ! zGsum(n) = sum of areas in categories 0 to n |
---|
| 374 | !-------------------------------------------------------------------- |
---|
[8534] | 375 | |
---|
[8554] | 376 | z1_gstar = 1._wp / rn_gstar |
---|
| 377 | z1_astar = 1._wp / rn_astar |
---|
[8534] | 378 | |
---|
| 379 | ! ! Ice thickness needed for rafting |
---|
[8554] | 380 | WHERE( pa_i(1:nidx,:) > 0._wp ) ; zhi(1:nidx,:) = pv_i(1:nidx,:) / pa_i(1:nidx,:) |
---|
| 381 | ELSEWHERE ; zhi(1:nidx,:) = 0._wp |
---|
[8534] | 382 | END WHERE |
---|
| 383 | |
---|
| 384 | !----------------------------------------------------------------- |
---|
| 385 | ! 1) Participation function: a(h) = b(h).g(h) (apartf) |
---|
| 386 | !----------------------------------------------------------------- |
---|
| 387 | ! Compute the participation function apartf; this is analogous to |
---|
| 388 | ! a(h) = b(h)g(h) as defined in Thorndike et al. (1975). |
---|
| 389 | ! area lost from category n due to ridging/closing |
---|
| 390 | ! apartf(n) = total area lost due to ridging/closing |
---|
| 391 | ! assume b(h) = (2/Gstar) * (1 - G(h)/Gstar). |
---|
| 392 | ! |
---|
| 393 | ! The expressions for apartf are found by integrating b(h)g(h) between |
---|
| 394 | ! the category boundaries. |
---|
| 395 | ! apartf is always >= 0 and SUM(apartf(0:jpl))=1 |
---|
| 396 | !----------------------------------------------------------------- |
---|
| 397 | ! |
---|
| 398 | ! Compute total area of ice plus open water. |
---|
| 399 | ! This is in general not equal to one because of divergence during transport |
---|
[8554] | 400 | zasum(1:nidx) = pato_i(1:nidx) + SUM( pa_i(1:nidx,:), dim=2 ) |
---|
[8534] | 401 | ! |
---|
[8554] | 402 | WHERE( zasum(1:nidx) > 0._wp ) ; z1_asum(1:nidx) = 1._wp / zasum(1:nidx) |
---|
| 403 | ELSEWHERE ; z1_asum(1:nidx) = 0._wp |
---|
| 404 | END WHERE |
---|
[8534] | 405 | ! Compute cumulative thickness distribution function |
---|
| 406 | ! Compute the cumulative thickness distribution function zGsum, |
---|
| 407 | ! where zGsum(n) is the fractional area in categories 0 to n. |
---|
| 408 | ! initial value (in h = 0) equals open water area |
---|
[8554] | 409 | zGsum(1:nidx,-1) = 0._wp |
---|
| 410 | zGsum(1:nidx,0 ) = pato_i(1:nidx) * z1_asum(1:nidx) |
---|
[8534] | 411 | DO jl = 1, jpl |
---|
[8554] | 412 | zGsum(1:nidx,jl) = ( pato_i(1:nidx) + SUM( pa_i(1:nidx,1:jl), dim=2 ) ) * z1_asum(1:nidx) ! sum(1:jl) is ok (and not jpl) |
---|
[8534] | 413 | END DO |
---|
| 414 | ! |
---|
| 415 | IF( ln_partf_lin ) THEN !--- Linear formulation (Thorndike et al., 1975) |
---|
| 416 | DO jl = 0, jpl |
---|
[8554] | 417 | DO ji = 1, nidx |
---|
| 418 | IF ( zGsum(ji,jl) < rn_gstar ) THEN |
---|
| 419 | apartf(ji,jl) = z1_gstar * ( zGsum(ji,jl) - zGsum(ji,jl-1) ) * & |
---|
| 420 | & ( 2._wp - ( zGsum(ji,jl-1) + zGsum(ji,jl) ) * z1_gstar ) |
---|
| 421 | ELSEIF( zGsum(ji,jl-1) < rn_gstar ) THEN |
---|
| 422 | apartf(ji,jl) = z1_gstar * ( rn_gstar - zGsum(ji,jl-1) ) * & |
---|
| 423 | & ( 2._wp - ( zGsum(ji,jl-1) + rn_gstar ) * z1_gstar ) |
---|
| 424 | ELSE |
---|
| 425 | apartf(ji,jl) = 0._wp |
---|
| 426 | ENDIF |
---|
[8534] | 427 | END DO |
---|
| 428 | END DO |
---|
| 429 | ! |
---|
| 430 | ELSEIF( ln_partf_exp ) THEN !--- Exponential, more stable formulation (Lipscomb et al, 2007) |
---|
| 431 | ! |
---|
[8554] | 432 | zfac = 1._wp / ( 1._wp - EXP(-z1_astar) ) |
---|
[8534] | 433 | DO jl = -1, jpl |
---|
[8554] | 434 | DO ji = 1, nidx |
---|
| 435 | zGsum(ji,jl) = EXP( -zGsum(ji,jl) * z1_astar ) * zfac |
---|
| 436 | END DO |
---|
[8534] | 437 | END DO |
---|
| 438 | DO jl = 0, jpl |
---|
[8554] | 439 | DO ji = 1, nidx |
---|
| 440 | apartf(ji,jl) = zGsum(ji,jl-1) - zGsum(ji,jl) |
---|
| 441 | END DO |
---|
[8534] | 442 | END DO |
---|
| 443 | ! |
---|
| 444 | ENDIF |
---|
| 445 | |
---|
| 446 | ! !--- Ridging and rafting participation concentrations |
---|
| 447 | IF( ln_rafting .AND. ln_ridging ) THEN !- ridging & rafting |
---|
| 448 | DO jl = 1, jpl |
---|
[8554] | 449 | DO ji = 1, nidx |
---|
| 450 | aridge(ji,jl) = ( 1._wp + TANH ( rn_craft * ( zhi(ji,jl) - rn_hraft ) ) ) * 0.5_wp * apartf(ji,jl) |
---|
| 451 | araft (ji,jl) = apartf(ji,jl) - aridge(ji,jl) |
---|
[8534] | 452 | END DO |
---|
| 453 | END DO |
---|
| 454 | ELSEIF( ln_ridging .AND. .NOT. ln_rafting ) THEN !- ridging alone |
---|
[8554] | 455 | DO jl = 1, jpl |
---|
| 456 | DO ji = 1, nidx |
---|
| 457 | aridge(ji,jl) = apartf(ji,jl) |
---|
| 458 | araft (ji,jl) = 0._wp |
---|
| 459 | END DO |
---|
| 460 | END DO |
---|
[8534] | 461 | ELSEIF( ln_rafting .AND. .NOT. ln_ridging ) THEN !- rafting alone |
---|
[8554] | 462 | DO jl = 1, jpl |
---|
| 463 | DO ji = 1, nidx |
---|
| 464 | aridge(ji,jl) = 0._wp |
---|
| 465 | araft (ji,jl) = apartf(ji,jl) |
---|
| 466 | END DO |
---|
| 467 | END DO |
---|
[8534] | 468 | ELSE !- no ridging & no rafting |
---|
[8554] | 469 | DO jl = 1, jpl |
---|
| 470 | DO ji = 1, nidx |
---|
| 471 | aridge(ji,jl) = 0._wp |
---|
| 472 | araft (ji,jl) = 0._wp |
---|
| 473 | END DO |
---|
| 474 | END DO |
---|
[8534] | 475 | ENDIF |
---|
| 476 | |
---|
| 477 | !----------------------------------------------------------------- |
---|
| 478 | ! 2) Transfer function |
---|
| 479 | !----------------------------------------------------------------- |
---|
| 480 | ! Compute max and min ridged ice thickness for each ridging category. |
---|
| 481 | ! Assume ridged ice is uniformly distributed between hrmin and hrmax. |
---|
| 482 | ! |
---|
| 483 | ! This parameterization is a modified version of Hibler (1980). |
---|
| 484 | ! The mean ridging thickness, zhmean, is proportional to hi^(0.5) |
---|
| 485 | ! and for very thick ridging ice must be >= hrdg_hi_min*hi |
---|
| 486 | ! |
---|
| 487 | ! The minimum ridging thickness, hrmin, is equal to 2*hi |
---|
| 488 | ! (i.e., rafting) and for very thick ridging ice is |
---|
| 489 | ! constrained by hrmin <= (zhmean + hi)/2. |
---|
| 490 | ! |
---|
| 491 | ! The maximum ridging thickness, hrmax, is determined by |
---|
| 492 | ! zhmean and hrmin. |
---|
| 493 | ! |
---|
| 494 | ! These modifications have the effect of reducing the ice strength |
---|
| 495 | ! (relative to the Hibler formulation) when very thick ice is |
---|
| 496 | ! ridging. |
---|
| 497 | ! |
---|
[8554] | 498 | ! zaksum = net area removed/ total area removed |
---|
[8534] | 499 | ! where total area removed = area of ice that ridges |
---|
| 500 | ! net area removed = total area removed - area of new ridges |
---|
| 501 | !----------------------------------------------------------------- |
---|
| 502 | |
---|
[8554] | 503 | zfac = 1._wp / hi_hrft |
---|
[8556] | 504 | zaksum(1:nidx) = apartf(1:nidx,0) |
---|
[8534] | 505 | ! Transfer function |
---|
| 506 | DO jl = 1, jpl !all categories have a specific transfer function |
---|
[8554] | 507 | DO ji = 1, nidx |
---|
| 508 | IF ( apartf(ji,jl) > 0._wp ) THEN |
---|
| 509 | zhmean = MAX( SQRT( rn_hstar * zhi(ji,jl) ), zhi(ji,jl) * hrdg_hi_min ) |
---|
| 510 | hrmin (ji,jl) = MIN( 2._wp * zhi(ji,jl), 0.5_wp * ( zhmean + zhi(ji,jl) ) ) |
---|
| 511 | hrmax (ji,jl) = 2._wp * zhmean - hrmin(ji,jl) |
---|
| 512 | hraft (ji,jl) = zhi(ji,jl) * zfac |
---|
| 513 | hi_hrdg(ji,jl) = zhi(ji,jl) / MAX( zhmean, epsi20 ) |
---|
| 514 | ! |
---|
| 515 | ! Normalization factor : zaksum, ensures mass conservation |
---|
| 516 | zaksum(ji) = zaksum(ji) + aridge(ji,jl) * ( 1._wp - hi_hrdg(ji,jl) ) & |
---|
| 517 | & + araft (ji,jl) * ( 1._wp - hi_hrft ) |
---|
| 518 | ELSE |
---|
| 519 | hrmin (ji,jl) = 0._wp |
---|
| 520 | hrmax (ji,jl) = 0._wp |
---|
| 521 | hraft (ji,jl) = 0._wp |
---|
| 522 | hi_hrdg(ji,jl) = 1._wp |
---|
| 523 | ENDIF |
---|
[8534] | 524 | END DO |
---|
| 525 | END DO |
---|
| 526 | ! |
---|
[8554] | 527 | ! 3.1 closing_gross |
---|
| 528 | !-----------------------------------------------------------------------------! |
---|
| 529 | ! Based on the ITD of ridging and ridged ice, convert the net |
---|
| 530 | ! closing rate to a gross closing rate. |
---|
| 531 | ! NOTE: 0 < aksum <= 1 |
---|
| 532 | WHERE( zaksum(1:nidx) > 0._wp ) ; closing_gross(1:nidx) = closing_net(1:nidx) / zaksum(1:nidx) |
---|
| 533 | ELSEWHERE ; closing_gross(1:nidx) = 0._wp |
---|
| 534 | END WHERE |
---|
| 535 | |
---|
[8556] | 536 | DO ji = 1, nidx |
---|
[8554] | 537 | ! correction to closing rate and opening if closing rate is excessive |
---|
| 538 | !--------------------------------------------------------------------- |
---|
| 539 | ! Reduce the closing rate if more than 100% of the open water |
---|
| 540 | ! would be removed. Reduce the opening rate proportionately. |
---|
| 541 | zfac = ( opning(ji) - apartf(ji,0) * closing_gross(ji) ) * rdt_ice |
---|
| 542 | IF ( zfac < 0._wp .AND. zfac > - pato_i(ji) ) THEN ! would lead to negative ato_i |
---|
| 543 | opning(ji) = apartf(ji,0) * closing_gross(ji) - pato_i(ji) * r1_rdtice |
---|
| 544 | ELSEIF( zfac > 0._wp .AND. zfac > ( zasum(ji) - pato_i(ji) ) ) THEN ! would lead to ato_i > asum |
---|
| 545 | opning(ji) = apartf(ji,0) * closing_gross(ji) + ( zasum(ji) - pato_i(ji) ) * r1_rdtice |
---|
| 546 | ENDIF |
---|
| 547 | END DO |
---|
| 548 | |
---|
| 549 | ! correction to closing rate / opening if excessive ice removal |
---|
| 550 | !--------------------------------------------------------------- |
---|
| 551 | ! Reduce the closing rate if more than 100% of any ice category |
---|
| 552 | ! would be removed. Reduce the opening rate proportionately. |
---|
| 553 | DO jl = 1, jpl |
---|
| 554 | DO ji = 1, nidx |
---|
| 555 | zfac = apartf(ji,jl) * closing_gross(ji) * rdt_ice |
---|
| 556 | !! IF( zfac > pa_i(ji,jl) .AND. zfac > 0._wp ) THEN |
---|
| 557 | IF( zfac > pa_i(ji,jl) ) THEN |
---|
| 558 | closing_gross(ji) = closing_gross(ji) * pa_i(ji,jl) / zfac |
---|
| 559 | ENDIF |
---|
| 560 | END DO |
---|
| 561 | END DO |
---|
| 562 | ! |
---|
[8534] | 563 | END SUBROUTINE rdgrft_prep |
---|
| 564 | |
---|
| 565 | |
---|
[8554] | 566 | SUBROUTINE rdgrft_shift |
---|
| 567 | !!------------------------------------------------------------------- |
---|
[8534] | 568 | !! *** ROUTINE rdgrft_shift *** |
---|
| 569 | !! |
---|
| 570 | !! ** Purpose : shift ridging ice among thickness categories of ice thickness |
---|
| 571 | !! |
---|
| 572 | !! ** Method : Remove area, volume, and energy from each ridging category |
---|
| 573 | !! and add to thicker ice categories. |
---|
[8554] | 574 | !!------------------------------------------------------------------- |
---|
[8534] | 575 | ! |
---|
| 576 | INTEGER :: ji, jj, jl, jl1, jl2, jk ! dummy loop indices |
---|
| 577 | REAL(wp) :: hL, hR, farea ! left and right limits of integration and new area going to jl2 |
---|
[8554] | 578 | REAL(wp) :: vsw ! vol of water trapped into ridges |
---|
| 579 | REAL(wp) :: afrdg, afrft ! fraction of category area ridged/rafted |
---|
| 580 | REAL(wp) :: airdg1, oirdg1, aprdg1, virdg1, sirdg1 |
---|
| 581 | REAL(wp) :: airft1, oirft1, aprft1 |
---|
| 582 | REAL(wp), DIMENSION(jpij) :: airdg2, oirdg2, aprdg2, virdg2, sirdg2, vsrdg, vprdg, esrdg ! area etc of new ridges |
---|
| 583 | REAL(wp), DIMENSION(jpij) :: airft2, oirft2, aprft2, virft , sirft , vsrft, vprft, esrft ! area etc of rafted ice |
---|
| 584 | ! |
---|
| 585 | REAL(wp), DIMENSION(jpij) :: ersw ! enth of water trapped into ridges |
---|
[8534] | 586 | REAL(wp), DIMENSION(jpij) :: zswitch, fvol ! new ridge volume going to jl2 |
---|
[8556] | 587 | REAL(wp), DIMENSION(jpij) :: z1_ai ! 1 / a |
---|
[8554] | 588 | ! |
---|
[8534] | 589 | REAL(wp), DIMENSION(jpij,nlay_i) :: eirft ! ice energy of rafting ice |
---|
[8554] | 590 | REAL(wp), DIMENSION(jpij,nlay_i) :: eirdg ! enth*volume of new ridges |
---|
| 591 | !!------------------------------------------------------------------- |
---|
[8534] | 592 | |
---|
| 593 | !------------------------------------------------------------------------------- |
---|
| 594 | ! 1) Compute change in open water area due to closing and opening. |
---|
| 595 | !------------------------------------------------------------------------------- |
---|
[8554] | 596 | DO ji = 1, nidx |
---|
| 597 | ato_i_1d(ji) = MAX( 0._wp, ato_i_1d(ji) + ( opning(ji) - apartf(ji,0) * closing_gross(ji) ) * rdt_ice ) |
---|
[8534] | 598 | END DO |
---|
[8554] | 599 | |
---|
[8534] | 600 | !----------------------------------------------------------------- |
---|
[8554] | 601 | ! 2) compute categories participating to ridging/rafting (jl1) |
---|
[8534] | 602 | !----------------------------------------------------------------- |
---|
[8554] | 603 | DO jl1 = 1, jpl |
---|
[8534] | 604 | |
---|
[8554] | 605 | CALL tab_2d_1d( nidx, idxice(1:nidx), sm_i_1d(1:nidx), sm_i(:,:,jl1) ) |
---|
[8534] | 606 | |
---|
[8554] | 607 | DO ji = 1, nidx |
---|
[8534] | 608 | |
---|
[8554] | 609 | !------------------------------------------------ |
---|
| 610 | ! 2.1) Identify grid cells with nonzero ridging |
---|
| 611 | !------------------------------------------------ |
---|
| 612 | IF( apartf(ji,jl1) > 0._wp .AND. closing_gross(ji) > 0._wp ) THEN |
---|
[8534] | 613 | |
---|
[8556] | 614 | z1_ai(ji) = 1._wp / a_i_2d(ji,jl1) |
---|
[8534] | 615 | |
---|
[8554] | 616 | !-------------------------------------------------------------------- |
---|
| 617 | ! 2.2) Compute area of ridging ice (airdg1) and of new ridge (airdg2) |
---|
| 618 | !-------------------------------------------------------------------- |
---|
| 619 | airdg1 = aridge(ji,jl1) * closing_gross(ji) * rdt_ice |
---|
| 620 | airft1 = araft (ji,jl1) * closing_gross(ji) * rdt_ice |
---|
[8534] | 621 | |
---|
[8554] | 622 | airdg2(ji) = airdg1 * hi_hrdg(ji,jl1) |
---|
| 623 | airft2(ji) = airft1 * hi_hrft |
---|
[8534] | 624 | |
---|
[8554] | 625 | !--------------------------------------------------------------- |
---|
| 626 | ! 2.3) Compute ridging /rafting fractions, make sure afrdg <=1 |
---|
| 627 | !--------------------------------------------------------------- |
---|
[8556] | 628 | afrdg = airdg1 * z1_ai(ji) |
---|
| 629 | afrft = airft1 * z1_ai(ji) |
---|
[8534] | 630 | |
---|
[8554] | 631 | ! volume and enthalpy (J/m2, >0) of seawater trapped into ridges |
---|
| 632 | vsw = v_i_2d(ji,jl1) * afrdg * rn_porordg |
---|
| 633 | ersw(ji) = -rhoic * vsw * rcp * sst_1d(ji) ! clem: if sst>0, then ersw <0 (is that possible?) |
---|
[8534] | 634 | |
---|
[8554] | 635 | !--------------------------------------------------------------- |
---|
| 636 | ! 2.4) Compute ridging ice and new ridges (vi, vs, sm, oi, es, ei) |
---|
| 637 | !--------------------------------------------------------------- |
---|
| 638 | virdg1 = v_i_2d (ji,jl1) * afrdg |
---|
| 639 | virdg2(ji) = v_i_2d (ji,jl1) * afrdg * ( 1. + rn_porordg ) |
---|
| 640 | vsrdg(ji) = v_s_2d (ji,jl1) * afrdg |
---|
| 641 | sirdg1 = smv_i_2d(ji,jl1) * afrdg |
---|
| 642 | sirdg2(ji) = smv_i_2d(ji,jl1) * afrdg + vsw * sss_1d(ji) |
---|
| 643 | oirdg1 = oa_i_2d (ji,jl1) * afrdg |
---|
| 644 | oirdg2(ji) = oa_i_2d (ji,jl1) * afrdg * hi_hrdg(ji,jl1) |
---|
| 645 | esrdg(ji) = ze_s_2d (ji,1,jl1) * afrdg |
---|
[8534] | 646 | |
---|
[8554] | 647 | virft(ji) = v_i_2d (ji,jl1) * afrft |
---|
| 648 | vsrft(ji) = v_s_2d (ji,jl1) * afrft |
---|
| 649 | sirft(ji) = smv_i_2d(ji,jl1) * afrft |
---|
| 650 | oirft1 = oa_i_2d (ji,jl1) * afrft |
---|
| 651 | oirft2(ji) = oa_i_2d (ji,jl1) * afrft * hi_hrft |
---|
| 652 | esrft(ji) = ze_s_2d (ji,1,jl1) * afrft |
---|
[8534] | 653 | |
---|
[8554] | 654 | !MV MP 2016 |
---|
| 655 | IF ( nn_pnd_scheme > 0 ) THEN |
---|
| 656 | aprdg1 = a_ip_2d(ji,jl1) * afrdg |
---|
| 657 | aprdg2(ji) = a_ip_2d(ji,jl1) * afrdg * hi_hrdg(ji,jl1) |
---|
| 658 | vprdg (ji) = v_ip_2d(ji,jl1) * afrdg |
---|
| 659 | aprft1 = a_ip_2d(ji,jl1) * afrft |
---|
| 660 | aprft2(ji) = a_ip_2d(ji,jl1) * afrft * hi_hrft |
---|
| 661 | vprft (ji) = v_ip_2d(ji,jl1) * afrft |
---|
| 662 | ENDIF |
---|
| 663 | ! END MV MP 2016 |
---|
[8534] | 664 | |
---|
[8554] | 665 | !----------------------------------------------------------------- |
---|
| 666 | ! 2.5) Ice-ocean exchanges |
---|
| 667 | !----------------------------------------------------------------- |
---|
| 668 | wfx_dyn_1d(ji) = wfx_dyn_1d(ji) - vsw * rhoic * r1_rdtice ! increase in ice volume due to seawater frozen in voids |
---|
| 669 | sfx_dyn_1d(ji) = sfx_dyn_1d(ji) - vsw * sss_1d(ji) * rhoic * r1_rdtice |
---|
| 670 | hfx_dyn_1d(ji) = hfx_dyn_1d(ji) + ersw(ji) * r1_rdtice ! > 0 [W.m-2] |
---|
[8534] | 671 | |
---|
[8554] | 672 | ! Put the snow lost by ridging into the ocean |
---|
| 673 | !------------------------------------------------ |
---|
| 674 | ! Note that esrdg > 0; the ocean must cool to melt snow. If the ocean temp = Tf already, new ice must grow. |
---|
| 675 | wfx_snw_dyn_1d(ji) = wfx_snw_dyn_1d(ji) + ( rhosn * vsrdg(ji) * ( 1._wp - rn_fsnwrdg ) & ! fresh water source for ocean |
---|
| 676 | & + rhosn * vsrft(ji) * ( 1._wp - rn_fsnwrft ) ) * r1_rdtice |
---|
[8534] | 677 | |
---|
[8554] | 678 | hfx_dyn_1d(ji) = hfx_dyn_1d(ji) + ( - esrdg(ji) * ( 1._wp - rn_fsnwrdg ) & ! heat sink for ocean (<0, W.m-2) |
---|
| 679 | & - esrft(ji) * ( 1._wp - rn_fsnwrft ) ) * r1_rdtice |
---|
[8534] | 680 | |
---|
[8554] | 681 | ! Put the melt pond water into the ocean |
---|
| 682 | !------------------------------------------ |
---|
| 683 | IF ( ( nn_pnd_scheme > 0 ) .AND. ln_pnd_fw ) THEN |
---|
| 684 | wfx_pnd_1d(ji) = wfx_pnd_1d(ji) + ( rhofw * vprdg(ji) * ( 1._wp - rn_fpndrdg ) & ! fresh water source for ocean |
---|
| 685 | & + rhofw * vprft(ji) * ( 1._wp - rn_fpndrft ) ) * r1_rdtice |
---|
| 686 | ENDIF |
---|
[8534] | 687 | |
---|
[8554] | 688 | ! virtual salt flux to keep salinity constant |
---|
| 689 | !------------------------------------------ |
---|
| 690 | IF( nn_icesal /= 2 ) THEN |
---|
| 691 | sirdg2(ji) = sirdg2(ji) - vsw * ( sss_1d(ji) - sm_i_1d(ji) ) ! ridge salinity = sm_i |
---|
| 692 | sfx_bri_1d(ji) = sfx_bri_1d(ji) + sss_1d(ji) * vsw * rhoic * r1_rdtice & ! put back sss_m into the ocean |
---|
| 693 | & - sm_i_1d(ji) * vsw * rhoic * r1_rdtice ! and get sm_i from the ocean |
---|
| 694 | ENDIF |
---|
[8534] | 695 | |
---|
[8554] | 696 | |
---|
| 697 | !------------------------------------------ |
---|
| 698 | ! 2.6) update jl1 (removing ridged/rafted area) |
---|
| 699 | !------------------------------------------ |
---|
| 700 | a_i_2d (ji,jl1) = a_i_2d (ji,jl1) - airdg1 - airft1 |
---|
| 701 | v_i_2d (ji,jl1) = v_i_2d (ji,jl1) - virdg1 - virft(ji) |
---|
| 702 | v_s_2d (ji,jl1) = v_s_2d (ji,jl1) - vsrdg(ji) - vsrft(ji) |
---|
| 703 | smv_i_2d(ji,jl1) = smv_i_2d(ji,jl1) - sirdg1 - sirft(ji) |
---|
| 704 | oa_i_2d (ji,jl1) = oa_i_2d (ji,jl1) - oirdg1 - oirft1 |
---|
| 705 | ! MV MP 2016 |
---|
| 706 | IF ( nn_pnd_scheme > 0 ) THEN |
---|
| 707 | a_ip_2d(ji,jl1) = a_ip_2d(ji,jl1) - aprdg1 - aprft1 |
---|
| 708 | v_ip_2d(ji,jl1) = v_ip_2d(ji,jl1) - vprdg(ji) - vprft(ji) |
---|
| 709 | ENDIF |
---|
| 710 | ! END MV MP 2016 |
---|
| 711 | ze_s_2d(ji,1,jl1) = ze_s_2d(ji,1,jl1) - esrdg (ji) - esrft (ji) |
---|
[8534] | 712 | ENDIF |
---|
| 713 | |
---|
[8554] | 714 | END DO ! ji |
---|
[8534] | 715 | |
---|
[8554] | 716 | ! special loop for e_i because of layers jk |
---|
[8534] | 717 | DO jk = 1, nlay_i |
---|
[8554] | 718 | DO ji = 1, nidx |
---|
| 719 | IF( apartf(ji,jl1) > 0._wp .AND. closing_gross(ji) > 0._wp ) THEN |
---|
| 720 | ! Compute ridging /rafting fractions |
---|
[8556] | 721 | afrdg = aridge(ji,jl1) * closing_gross(ji) * rdt_ice * z1_ai(ji) |
---|
| 722 | afrft = araft (ji,jl1) * closing_gross(ji) * rdt_ice * z1_ai(ji) |
---|
[8554] | 723 | ! Compute ridging ice and new ridges for ei |
---|
| 724 | eirdg(ji,jk) = ze_i_2d (ji,jk,jl1) * afrdg + ersw(ji) * r1_nlay_i |
---|
| 725 | eirft(ji,jk) = ze_i_2d (ji,jk,jl1) * afrft |
---|
| 726 | ! Update jl1 |
---|
| 727 | ze_i_2d(ji,jk,jl1) = ze_i_2d(ji,jk,jl1) * ( 1._wp - afrdg - afrft ) |
---|
| 728 | ENDIF |
---|
[8534] | 729 | END DO |
---|
| 730 | END DO |
---|
[8554] | 731 | |
---|
[8534] | 732 | |
---|
| 733 | !------------------------------------------------------------------------------- |
---|
| 734 | ! 3) Add area, volume, and energy of new ridge to each category jl2 |
---|
| 735 | !------------------------------------------------------------------------------- |
---|
| 736 | DO jl2 = 1, jpl |
---|
[8554] | 737 | ! |
---|
| 738 | DO ji = 1, nidx |
---|
[8534] | 739 | |
---|
[8554] | 740 | IF( apartf(ji,jl1) > 0._wp .AND. closing_gross(ji) > 0._wp ) THEN |
---|
| 741 | |
---|
| 742 | ! Compute the fraction of ridged ice area and volume going to thickness category jl2. |
---|
| 743 | IF( hrmin(ji,jl1) <= hi_max(jl2) .AND. hrmax(ji,jl1) > hi_max(jl2-1) ) THEN |
---|
| 744 | !----------------------------------------------------------------- |
---|
| 745 | ! 2.8 Compute quantities used to apportion ice among categories |
---|
| 746 | ! in the n2 loop below |
---|
| 747 | !----------------------------------------------------------------- |
---|
| 748 | hL = MAX( hrmin(ji,jl1), hi_max(jl2-1) ) |
---|
| 749 | hR = MIN( hrmax(ji,jl1), hi_max(jl2) ) |
---|
| 750 | farea = ( hR - hL ) / ( hrmax(ji,jl1) - hrmin(ji,jl1) ) |
---|
| 751 | fvol(ji) = ( hR * hR - hL * hL ) / ( hrmax(ji,jl1) * hrmax(ji,jl1) - hrmin(ji,jl1) * hrmin(ji,jl1) ) |
---|
| 752 | ELSE |
---|
| 753 | farea = 0._wp |
---|
| 754 | fvol(ji) = 0._wp |
---|
| 755 | ENDIF |
---|
| 756 | |
---|
| 757 | ! Compute the fraction of rafted ice area and volume going to thickness category jl2 |
---|
| 758 | !!gm see above IF( hraft(ji) <= hi_max(jl2) .AND. hraft(ji) > hi_max(jl2-1) ) THEN |
---|
| 759 | IF( hi_max(jl2-1) < hraft(ji,jl1) .AND. hraft(ji,jl1) <= hi_max(jl2) ) THEN ; zswitch(ji) = 1._wp |
---|
| 760 | ELSE ; zswitch(ji) = 0._wp |
---|
| 761 | ENDIF |
---|
| 762 | ! |
---|
| 763 | a_i_2d (ji,jl2) = a_i_2d (ji,jl2) + ( airdg2(ji) * farea + airft2(ji) * zswitch(ji) ) |
---|
| 764 | oa_i_2d (ji,jl2) = oa_i_2d (ji,jl2) + ( oirdg2(ji) * farea + oirft2(ji) * zswitch(ji) ) |
---|
| 765 | v_i_2d (ji,jl2) = v_i_2d (ji,jl2) + ( virdg2(ji) * fvol(ji) + virft (ji) * zswitch(ji) ) |
---|
| 766 | smv_i_2d(ji,jl2) = smv_i_2d(ji,jl2) + ( sirdg2(ji) * fvol(ji) + sirft (ji) * zswitch(ji) ) |
---|
| 767 | v_s_2d (ji,jl2) = v_s_2d (ji,jl2) + ( vsrdg (ji) * rn_fsnwrdg * fvol(ji) + & |
---|
| 768 | & vsrft (ji) * rn_fsnwrft * zswitch(ji) ) |
---|
| 769 | ! MV MP 2016 |
---|
| 770 | IF ( nn_pnd_scheme > 0 ) THEN |
---|
| 771 | v_ip_2d (ji,jl2) = v_ip_2d(ji,jl2) + ( vprdg (ji) * rn_fpndrdg * fvol (ji) & |
---|
| 772 | & + vprft (ji) * rn_fpndrft * zswitch(ji) ) |
---|
| 773 | a_ip_2d (ji,jl2) = a_ip_2d(ji,jl2) + ( aprdg2(ji) * rn_fpndrdg * farea & |
---|
| 774 | & + aprft2(ji) * rn_fpndrft * zswitch(ji) ) |
---|
| 775 | ENDIF |
---|
| 776 | ! END MV MP 2016 |
---|
| 777 | ze_s_2d(ji,1,jl2) = ze_s_2d(ji,1,jl2) + ( esrdg (ji) * rn_fsnwrdg * fvol(ji) + & |
---|
| 778 | & esrft (ji) * rn_fsnwrft * zswitch(ji) ) |
---|
| 779 | |
---|
[8534] | 780 | ENDIF |
---|
| 781 | |
---|
| 782 | END DO |
---|
| 783 | |
---|
| 784 | DO jk = 1, nlay_i |
---|
[8554] | 785 | DO ji = 1, nidx |
---|
| 786 | IF( apartf(ji,jl1) > 0._wp .AND. closing_gross(ji) > 0._wp ) & |
---|
| 787 | & ze_i_2d(ji,jk,jl2) = ze_i_2d(ji,jk,jl2) + eirdg(ji,jk) * fvol(ji) + eirft(ji,jk) * zswitch(ji) |
---|
[8534] | 788 | END DO |
---|
| 789 | END DO |
---|
| 790 | ! |
---|
| 791 | END DO ! jl2 |
---|
| 792 | ! |
---|
[8554] | 793 | END DO ! jl1 |
---|
[8534] | 794 | ! |
---|
[8554] | 795 | ! In case ridging/rafting lead to very small negative values (sometimes it happens) |
---|
| 796 | WHERE( a_i_2d(1:nidx,:) < 0._wp ) a_i_2d(1:nidx,:) = 0._wp |
---|
| 797 | WHERE( v_i_2d(1:nidx,:) < 0._wp ) v_i_2d(1:nidx,:) = 0._wp |
---|
| 798 | ! |
---|
[8534] | 799 | END SUBROUTINE rdgrft_shift |
---|
| 800 | |
---|
| 801 | |
---|
| 802 | SUBROUTINE ice_strength |
---|
| 803 | !!---------------------------------------------------------------------- |
---|
| 804 | !! *** ROUTINE ice_strength *** |
---|
| 805 | !! |
---|
| 806 | !! ** Purpose : computes ice strength used in dynamics routines of ice thickness |
---|
| 807 | !! |
---|
| 808 | !! ** Method : Compute the strength of the ice pack, defined as the energy (J m-2) |
---|
| 809 | !! dissipated per unit area removed from the ice pack under compression, |
---|
| 810 | !! and assumed proportional to the change in potential energy caused |
---|
| 811 | !! by ridging. Note that only Hibler's formulation is stable and that |
---|
| 812 | !! ice strength has to be smoothed |
---|
| 813 | !!---------------------------------------------------------------------- |
---|
[8554] | 814 | INTEGER :: ji, jj, jl ! dummy loop indices |
---|
[8534] | 815 | INTEGER :: ismooth ! smoothing the resistance to deformation |
---|
| 816 | INTEGER :: itframe ! number of time steps for the P smoothing |
---|
| 817 | REAL(wp) :: zp, z1_3 ! local scalars |
---|
| 818 | REAL(wp), DIMENSION(jpi,jpj) :: zworka ! temporary array used here |
---|
| 819 | REAL(wp), DIMENSION(jpi,jpj) :: zstrp1, zstrp2 ! strength at previous time steps |
---|
| 820 | !!---------------------------------------------------------------------- |
---|
| 821 | ! !--------------------------------------------------! |
---|
| 822 | IF( ln_str_R75 ) THEN ! Ice strength => Rothrock (1975) method ! |
---|
| 823 | ! !--------------------------------------------------! |
---|
| 824 | ! !--------------------------------------------------! |
---|
| 825 | ELSEIF( ln_str_H79 ) THEN ! Ice strength => Hibler (1979) method ! |
---|
| 826 | ! !--------------------------------------------------! |
---|
| 827 | strength(:,:) = rn_pstar * SUM( v_i(:,:,:), dim=3 ) * EXP( -rn_crhg * ( 1._wp - SUM( a_i(:,:,:), dim=3 ) ) ) |
---|
| 828 | ! |
---|
| 829 | ismooth = 1 |
---|
| 830 | ! |
---|
| 831 | ENDIF |
---|
| 832 | ! !--------------------------------------------------! |
---|
| 833 | SELECT CASE( ismooth ) ! Smoothing ice strength ! |
---|
| 834 | ! !--------------------------------------------------! |
---|
| 835 | CASE( 1 ) !--- Spatial smoothing |
---|
| 836 | DO jj = 2, jpjm1 |
---|
| 837 | DO ji = 2, jpim1 |
---|
[8554] | 838 | IF ( SUM( a_i(ji,jj,:) ) > 0._wp ) THEN |
---|
[8534] | 839 | zworka(ji,jj) = ( 4.0 * strength(ji,jj) & |
---|
| 840 | & + strength(ji-1,jj) * tmask(ji-1,jj,1) + strength(ji+1,jj) * tmask(ji+1,jj,1) & |
---|
| 841 | & + strength(ji,jj-1) * tmask(ji,jj-1,1) + strength(ji,jj+1) * tmask(ji,jj+1,1) & |
---|
| 842 | & ) / ( 4.0 + tmask(ji-1,jj,1) + tmask(ji+1,jj,1) + tmask(ji,jj-1,1) + tmask(ji,jj+1,1) ) |
---|
| 843 | ELSE |
---|
| 844 | zworka(ji,jj) = 0._wp |
---|
| 845 | ENDIF |
---|
| 846 | END DO |
---|
| 847 | END DO |
---|
| 848 | |
---|
| 849 | DO jj = 2, jpjm1 |
---|
| 850 | DO ji = 2, jpim1 |
---|
| 851 | strength(ji,jj) = zworka(ji,jj) |
---|
| 852 | END DO |
---|
| 853 | END DO |
---|
| 854 | CALL lbc_lnk( strength, 'T', 1. ) |
---|
| 855 | ! |
---|
| 856 | CASE( 2 ) !--- Temporal smoothing |
---|
| 857 | IF ( kt_ice == nit000 ) THEN |
---|
| 858 | zstrp1(:,:) = 0._wp |
---|
| 859 | zstrp2(:,:) = 0._wp |
---|
| 860 | ENDIF |
---|
| 861 | ! |
---|
| 862 | DO jj = 2, jpjm1 |
---|
| 863 | DO ji = 2, jpim1 |
---|
[8554] | 864 | IF ( SUM( a_i(ji,jj,:) ) > 0._wp ) THEN |
---|
[8534] | 865 | itframe = 1 ! number of time steps for the running mean |
---|
| 866 | IF ( zstrp1(ji,jj) > 0._wp ) itframe = itframe + 1 |
---|
| 867 | IF ( zstrp2(ji,jj) > 0._wp ) itframe = itframe + 1 |
---|
| 868 | zp = ( strength(ji,jj) + zstrp1(ji,jj) + zstrp2(ji,jj) ) / itframe |
---|
| 869 | zstrp2 (ji,jj) = zstrp1 (ji,jj) |
---|
| 870 | zstrp1 (ji,jj) = strength(ji,jj) |
---|
| 871 | strength(ji,jj) = zp |
---|
| 872 | ENDIF |
---|
| 873 | END DO |
---|
| 874 | END DO |
---|
| 875 | CALL lbc_lnk( strength, 'T', 1. ) |
---|
| 876 | ! |
---|
| 877 | END SELECT |
---|
| 878 | ! |
---|
| 879 | END SUBROUTINE ice_strength |
---|
| 880 | |
---|
| 881 | |
---|
| 882 | SUBROUTINE ice_dyn_rdgrft_init |
---|
| 883 | !!------------------------------------------------------------------- |
---|
| 884 | !! *** ROUTINE ice_dyn_rdgrft_init *** |
---|
| 885 | !! |
---|
| 886 | !! ** Purpose : Physical constants and parameters linked |
---|
| 887 | !! to the mechanical ice redistribution |
---|
| 888 | !! |
---|
| 889 | !! ** Method : Read the namdyn_rdgrft namelist |
---|
| 890 | !! and check the parameters values |
---|
| 891 | !! called at the first timestep (nit000) |
---|
| 892 | !! |
---|
| 893 | !! ** input : Namelist namdyn_rdgrft |
---|
| 894 | !!------------------------------------------------------------------- |
---|
| 895 | INTEGER :: ios ! Local integer output status for namelist read |
---|
| 896 | !! |
---|
| 897 | NAMELIST/namdyn_rdgrft/ ln_str_H79, rn_pstar, rn_crhg, & |
---|
| 898 | & ln_str_R75, rn_perdg, & |
---|
| 899 | & rn_csrdg , & |
---|
| 900 | & ln_partf_lin, rn_gstar, & |
---|
| 901 | & ln_partf_exp, rn_astar, & |
---|
| 902 | & ln_ridging, rn_hstar, rn_porordg, rn_fsnwrdg, rn_fpndrdg, & |
---|
| 903 | & ln_rafting, rn_hraft, rn_craft , rn_fsnwrft, rn_fpndrft |
---|
| 904 | !!------------------------------------------------------------------- |
---|
| 905 | ! |
---|
| 906 | REWIND( numnam_ice_ref ) ! Namelist namicetdme in reference namelist : Ice mechanical ice redistribution |
---|
| 907 | READ ( numnam_ice_ref, namdyn_rdgrft, IOSTAT = ios, ERR = 901) |
---|
| 908 | 901 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namdyn_rdgrft in reference namelist', lwp ) |
---|
| 909 | ! |
---|
| 910 | REWIND( numnam_ice_cfg ) ! Namelist namdyn_rdgrft in configuration namelist : Ice mechanical ice redistribution |
---|
| 911 | READ ( numnam_ice_cfg, namdyn_rdgrft, IOSTAT = ios, ERR = 902 ) |
---|
| 912 | 902 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namdyn_rdgrft in configuration namelist', lwp ) |
---|
| 913 | IF(lwm) WRITE ( numoni, namdyn_rdgrft ) |
---|
| 914 | ! |
---|
| 915 | IF (lwp) THEN ! control print |
---|
| 916 | WRITE(numout,*) |
---|
| 917 | WRITE(numout,*) 'ice_dyn_rdgrft_init: ice parameters for ridging/rafting ' |
---|
| 918 | WRITE(numout,*) '~~~~~~~~~~~~~~~~~~' |
---|
| 919 | WRITE(numout,*) ' Namelist namdyn_rdgrft:' |
---|
| 920 | WRITE(numout,*) ' ice strength parameterization Hibler (1979) ln_str_H79 = ', ln_str_H79 |
---|
| 921 | WRITE(numout,*) ' 1st bulk-rheology parameter rn_pstar = ', rn_pstar |
---|
| 922 | WRITE(numout,*) ' 2nd bulk-rhelogy parameter rn_crhg = ', rn_crhg |
---|
| 923 | WRITE(numout,*) ' ice strength parameterization Rothrock (1975) ln_str_R75 = ', ln_str_R75 |
---|
| 924 | WRITE(numout,*) ' Ratio of ridging work to PotEner change in ridging rn_perdg = ', rn_perdg |
---|
| 925 | WRITE(numout,*) ' Fraction of shear energy contributing to ridging rn_csrdg = ', rn_csrdg |
---|
| 926 | WRITE(numout,*) ' linear ridging participation function ln_partf_lin = ', ln_partf_lin |
---|
| 927 | WRITE(numout,*) ' Fraction of ice coverage contributing to ridging rn_gstar = ', rn_gstar |
---|
| 928 | WRITE(numout,*) ' Exponential ridging participation function ln_partf_exp = ', ln_partf_exp |
---|
| 929 | WRITE(numout,*) ' Equivalent to G* for an exponential function rn_astar = ', rn_astar |
---|
| 930 | WRITE(numout,*) ' Ridging of ice sheets or not ln_ridging = ', ln_ridging |
---|
| 931 | WRITE(numout,*) ' max ridged ice thickness rn_hstar = ', rn_hstar |
---|
| 932 | WRITE(numout,*) ' Initial porosity of ridges rn_porordg = ', rn_porordg |
---|
| 933 | WRITE(numout,*) ' Fraction of snow volume conserved during ridging rn_fsnwrdg = ', rn_fsnwrdg |
---|
| 934 | WRITE(numout,*) ' Fraction of pond volume conserved during ridging rn_fpndrdg = ', rn_fpndrdg |
---|
| 935 | WRITE(numout,*) ' Rafting of ice sheets or not ln_rafting = ', ln_rafting |
---|
| 936 | WRITE(numout,*) ' Parmeter thickness (threshold between ridge-raft) rn_hraft = ', rn_hraft |
---|
| 937 | WRITE(numout,*) ' Rafting hyperbolic tangent coefficient rn_craft = ', rn_craft |
---|
| 938 | WRITE(numout,*) ' Fraction of snow volume conserved during rafting rn_fsnwrft = ', rn_fsnwrft |
---|
| 939 | WRITE(numout,*) ' Fraction of pond volume conserved during rafting rn_fpndrft = ', rn_fpndrft |
---|
| 940 | ENDIF |
---|
| 941 | ! |
---|
| 942 | IF ( ( ln_str_H79 .AND. ln_str_R75 ) .OR. ( .NOT.ln_str_H79 .AND. .NOT.ln_str_R75 ) ) THEN |
---|
| 943 | CALL ctl_stop( 'ice_dyn_rdgrft_init: choose one and only one formulation for ice strength (ln_str_H79 or ln_str_R75)' ) |
---|
| 944 | ENDIF |
---|
| 945 | ! |
---|
| 946 | IF ( ( ln_partf_lin .AND. ln_partf_exp ) .OR. ( .NOT.ln_partf_lin .AND. .NOT.ln_partf_exp ) ) THEN |
---|
| 947 | CALL ctl_stop( 'ice_dyn_rdgrft_init: choose one and only one participation function (ln_partf_lin or ln_partf_exp)' ) |
---|
| 948 | ENDIF |
---|
| 949 | ! ! allocate tke arrays |
---|
| 950 | IF( ice_dyn_rdgrft_alloc() /= 0 ) CALL ctl_stop( 'STOP', 'ice_dyn_rdgrft_init: unable to allocate arrays' ) |
---|
| 951 | ! |
---|
| 952 | END SUBROUTINE ice_dyn_rdgrft_init |
---|
| 953 | |
---|
| 954 | #else |
---|
| 955 | !!---------------------------------------------------------------------- |
---|
| 956 | !! Default option Empty module NO ESIM sea-ice model |
---|
| 957 | !!---------------------------------------------------------------------- |
---|
| 958 | #endif |
---|
| 959 | |
---|
| 960 | !!====================================================================== |
---|
| 961 | END MODULE icedyn_rdgrft |
---|