[8586] | 1 | MODULE icedyn_rdgrft |
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| 2 | !!====================================================================== |
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| 3 | !! *** MODULE icedyn_rdgrft *** |
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[14072] | 4 | !! sea-ice : Mechanical impact on ice thickness distribution |
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[8586] | 5 | !!====================================================================== |
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[14072] | 6 | !! History : ! 2006-02 (M. Vancoppenolle) Original code |
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[9604] | 7 | !! 4.0 ! 2018 (many people) SI3 [aka Sea Ice cube] |
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[8586] | 8 | !!---------------------------------------------------------------------- |
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[9570] | 9 | #if defined key_si3 |
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[8586] | 10 | !!---------------------------------------------------------------------- |
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[9570] | 11 | !! 'key_si3' SI3 sea-ice model |
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[8586] | 12 | !!---------------------------------------------------------------------- |
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| 13 | !! ice_dyn_rdgrft : ridging/rafting of sea ice |
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| 14 | !! ice_dyn_rdgrft_init : initialization of ridging/rafting of sea ice |
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| 15 | !! ice_strength : ice strength calculation |
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| 16 | !!---------------------------------------------------------------------- |
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| 17 | USE dom_oce ! ocean domain |
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[14072] | 18 | USE phycst ! physical constants (ocean directory) |
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[8586] | 19 | USE sbc_oce , ONLY : sss_m, sst_m ! surface boundary condition: ocean fields |
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| 20 | USE ice1D ! sea-ice: thermodynamics |
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| 21 | USE ice ! sea-ice: variables |
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| 22 | USE icetab ! sea-ice: 1D <==> 2D transformation |
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| 23 | USE icevar ! sea-ice: operations |
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| 24 | USE icectl ! sea-ice: control prints |
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| 25 | ! |
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| 26 | USE in_out_manager ! I/O manager |
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| 27 | USE iom ! I/O manager library |
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| 28 | USE lib_mpp ! MPP library |
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| 29 | USE lib_fortran ! fortran utilities (glob_sum + no signed zero) |
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| 30 | USE lbclnk ! lateral boundary conditions (or mpp links) |
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| 31 | USE timing ! Timing |
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| 32 | |
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| 33 | IMPLICIT NONE |
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| 34 | PRIVATE |
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| 35 | |
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| 36 | PUBLIC ice_dyn_rdgrft ! called by icestp |
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| 37 | PUBLIC ice_dyn_rdgrft_init ! called by icedyn |
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| 38 | PUBLIC ice_strength ! called by icedyn_rhg_evp |
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| 39 | |
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[15549] | 40 | INTEGER :: nice_str ! choice of the type of strength |
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| 41 | ! ! associated indices: |
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| 42 | INTEGER, PARAMETER :: np_strh79 = 1 ! Hibler 79 |
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| 43 | INTEGER, PARAMETER :: np_strr75 = 2 ! Rothrock 75 |
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| 44 | INTEGER, PARAMETER :: np_strcst = 3 ! Constant value |
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| 45 | |
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[8586] | 46 | ! Variables shared among ridging subroutines |
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[10413] | 47 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:) :: closing_net ! net rate at which area is removed (1/s) |
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| 48 | ! ! (ridging ice area - area of new ridges) / dt |
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| 49 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:) :: opning ! rate of opening due to divergence/shear |
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| 50 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:) :: closing_gross ! rate at which area removed, not counting area of new ridges |
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| 51 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: apartf ! participation function; fraction of ridging/closing associated w/ category n |
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| 52 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: hrmin ! minimum ridge thickness |
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| 53 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: hrmax ! maximum ridge thickness |
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| 54 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: hraft ! thickness of rafted ice |
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| 55 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: hi_hrdg ! thickness of ridging ice / mean ridge thickness |
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| 56 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: aridge ! participating ice ridging |
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| 57 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: araft ! participating ice rafting |
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[8586] | 58 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: ze_i_2d |
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| 59 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: ze_s_2d |
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| 60 | ! |
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| 61 | REAL(wp), PARAMETER :: hrdg_hi_min = 1.1_wp ! min ridge thickness multiplier: min(hrdg/hi) |
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| 62 | REAL(wp), PARAMETER :: hi_hrft = 0.5_wp ! rafting multipliyer: (hi/hraft) |
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| 63 | ! |
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| 64 | ! ** namelist (namdyn_rdgrft) ** |
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[15549] | 65 | LOGICAL :: ln_str_R75 ! ice strength parameterization: Rothrock 75 |
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| 66 | REAL(wp) :: rn_pe_rdg ! coef accounting for frictional dissipation |
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| 67 | LOGICAL :: ln_str_CST ! ice strength parameterization: Constant |
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| 68 | REAL(wp) :: rn_str ! constant value of ice strength |
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| 69 | LOGICAL :: ln_str_smooth ! ice strength spatial smoothing |
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| 70 | LOGICAL :: ln_distf_lin ! redistribution of ridged ice: linear (Hibler 1980) |
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| 71 | LOGICAL :: ln_distf_exp ! redistribution of ridged ice: exponential |
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| 72 | REAL(wp) :: rn_murdg ! gives e-folding scale of ridged ice (m^.5) |
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[14072] | 73 | REAL(wp) :: rn_csrdg ! fraction of shearing energy contributing to ridging |
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[8586] | 74 | LOGICAL :: ln_partf_lin ! participation function linear (Thorndike et al. (1975)) |
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| 75 | REAL(wp) :: rn_gstar ! fractional area of young ice contributing to ridging |
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| 76 | LOGICAL :: ln_partf_exp ! participation function exponential (Lipscomb et al. (2007)) |
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| 77 | REAL(wp) :: rn_astar ! equivalent of G* for an exponential participation function |
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[14072] | 78 | LOGICAL :: ln_ridging ! ridging of ice or not |
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[8586] | 79 | REAL(wp) :: rn_hstar ! thickness that determines the maximal thickness of ridged ice |
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| 80 | REAL(wp) :: rn_porordg ! initial porosity of ridges (0.3 regular value) |
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| 81 | REAL(wp) :: rn_fsnwrdg ! fractional snow loss to the ocean during ridging |
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| 82 | REAL(wp) :: rn_fpndrdg ! fractional pond loss to the ocean during ridging |
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[14072] | 83 | LOGICAL :: ln_rafting ! rafting of ice or not |
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| 84 | REAL(wp) :: rn_hraft ! threshold thickness (m) for rafting / ridging |
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[8586] | 85 | REAL(wp) :: rn_craft ! coefficient for smoothness of the hyperbolic tangent in rafting |
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| 86 | REAL(wp) :: rn_fsnwrft ! fractional snow loss to the ocean during rafting |
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| 87 | REAL(wp) :: rn_fpndrft ! fractional pond loss to the ocean during rafting |
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| 88 | ! |
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[12377] | 89 | !! * Substitutions |
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| 90 | # include "do_loop_substitute.h90" |
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[8586] | 91 | !!---------------------------------------------------------------------- |
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[9598] | 92 | !! NEMO/ICE 4.0 , NEMO Consortium (2018) |
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[10069] | 93 | !! $Id$ |
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[10413] | 94 | !! Software governed by the CeCILL licence (./LICENSE) |
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[8586] | 95 | !!---------------------------------------------------------------------- |
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| 96 | CONTAINS |
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| 97 | |
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| 98 | INTEGER FUNCTION ice_dyn_rdgrft_alloc() |
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| 99 | !!------------------------------------------------------------------- |
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| 100 | !! *** ROUTINE ice_dyn_rdgrft_alloc *** |
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| 101 | !!------------------------------------------------------------------- |
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[11732] | 102 | ALLOCATE( closing_net(jpij) , opning(jpij) , closing_gross(jpij) , & |
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| 103 | & apartf(jpij,0:jpl) , hrmin (jpij,jpl) , hraft(jpij,jpl) , aridge(jpij,jpl), & |
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| 104 | & hrmax (jpij,jpl) , hi_hrdg(jpij,jpl) , araft(jpij,jpl) , & |
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[8586] | 105 | & ze_i_2d(jpij,nlay_i,jpl), ze_s_2d(jpij,nlay_s,jpl), STAT=ice_dyn_rdgrft_alloc ) |
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| 106 | |
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[10425] | 107 | CALL mpp_sum ( 'icedyn_rdgrft', ice_dyn_rdgrft_alloc ) |
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| 108 | IF( ice_dyn_rdgrft_alloc /= 0 ) CALL ctl_stop( 'STOP', 'ice_dyn_rdgrft_alloc: failed to allocate arrays' ) |
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[8586] | 109 | ! |
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| 110 | END FUNCTION ice_dyn_rdgrft_alloc |
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| 111 | |
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| 112 | |
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| 113 | SUBROUTINE ice_dyn_rdgrft( kt ) |
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| 114 | !!------------------------------------------------------------------- |
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| 115 | !! *** ROUTINE ice_dyn_rdgrft *** |
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| 116 | !! |
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| 117 | !! ** Purpose : computes the mechanical redistribution of ice thickness |
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| 118 | !! |
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| 119 | !! ** Method : Steps : |
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[9452] | 120 | !! 0) Identify grid cells with ice |
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| 121 | !! 1) Calculate closing rate, divergence and opening |
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| 122 | !! 2) Identify grid cells with ridging |
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| 123 | !! 3) Start ridging iterations |
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| 124 | !! - prep = ridged and rafted ice + closing_gross |
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| 125 | !! - shift = move ice from one category to another |
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[8586] | 126 | !! |
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[9452] | 127 | !! ** Details |
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| 128 | !! step1: The net rate of closing is due to convergence and shear, based on Flato and Hibler (1995). |
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| 129 | !! The energy dissipation rate is equal to the net closing rate times the ice strength. |
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| 130 | !! |
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| 131 | !! step3: The gross closing rate is equal to the first two terms (open |
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| 132 | !! water closing and thin ice ridging) without the third term |
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| 133 | !! (thick, newly ridged ice). |
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| 134 | !! |
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[8586] | 135 | !! References : Flato, G. M., and W. D. Hibler III, 1995, JGR, 100, 18,611-18,626. |
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| 136 | !! Hibler, W. D. III, 1980, MWR, 108, 1943-1973, 1980. |
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| 137 | !! Rothrock, D. A., 1975: JGR, 80, 4514-4519. |
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[14072] | 138 | !! Thorndike et al., 1975, JGR, 80, 4501-4513. |
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[8586] | 139 | !! Bitz et al., JGR, 2001 |
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| 140 | !! Amundrud and Melling, JGR 2005 |
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[14072] | 141 | !! Babko et al., JGR 2002 |
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[8586] | 142 | !! |
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| 143 | !! This routine is based on CICE code and authors William H. Lipscomb, |
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[9452] | 144 | !! and Elizabeth C. Hunke, LANL are gratefully acknowledged |
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[8586] | 145 | !!------------------------------------------------------------------- |
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| 146 | INTEGER, INTENT(in) :: kt ! number of iteration |
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| 147 | !! |
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| 148 | INTEGER :: ji, jj, jk, jl ! dummy loop index |
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[14072] | 149 | INTEGER :: iter, iterate_ridging ! local integer |
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[8586] | 150 | INTEGER :: ipti ! local integer |
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| 151 | REAL(wp) :: zfac ! local scalar |
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| 152 | INTEGER , DIMENSION(jpij) :: iptidx ! compute ridge/raft or not |
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| 153 | REAL(wp), DIMENSION(jpij) :: zdivu, zdelt ! 1D divu_i & delta_i |
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[13999] | 154 | REAL(wp), DIMENSION(jpij) :: zconv ! 1D rdg_conv (if EAP rheology) |
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[8586] | 155 | ! |
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[14072] | 156 | INTEGER, PARAMETER :: jp_itermax = 20 |
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[8586] | 157 | !!------------------------------------------------------------------- |
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| 158 | ! controls |
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[9124] | 159 | IF( ln_timing ) CALL timing_start('icedyn_rdgrft') ! timing |
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| 160 | 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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[11536] | 161 | IF( ln_icediachk ) CALL ice_cons2D (0, 'icedyn_rdgrft', diag_v, diag_s, diag_t, diag_fv, diag_fs, diag_ft) ! conservation |
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[8586] | 162 | |
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| 163 | IF( kt == nit000 ) THEN |
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| 164 | IF(lwp) WRITE(numout,*) |
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| 165 | IF(lwp) WRITE(numout,*)'ice_dyn_rdgrft: ice ridging and rafting' |
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| 166 | IF(lwp) WRITE(numout,*)'~~~~~~~~~~~~~~' |
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[14072] | 167 | ENDIF |
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[8586] | 168 | |
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| 169 | !-------------------------------- |
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| 170 | ! 0) Identify grid cells with ice |
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| 171 | !-------------------------------- |
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[10994] | 172 | at_i(:,:) = SUM( a_i, dim=3 ) |
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| 173 | ! |
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[8586] | 174 | npti = 0 ; nptidx(:) = 0 |
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[9452] | 175 | ipti = 0 ; iptidx(:) = 0 |
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[14997] | 176 | DO_2D( nn_hls, nn_hls, nn_hls, nn_hls ) |
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[12377] | 177 | IF ( at_i(ji,jj) > epsi10 ) THEN |
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| 178 | npti = npti + 1 |
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| 179 | nptidx( npti ) = (jj - 1) * jpi + ji |
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| 180 | ENDIF |
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| 181 | END_2D |
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[14072] | 182 | |
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[9452] | 183 | !-------------------------------------------------------- |
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| 184 | ! 1) Dynamical inputs (closing rate, divergence, opening) |
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| 185 | !-------------------------------------------------------- |
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[8586] | 186 | IF( npti > 0 ) THEN |
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[14072] | 187 | |
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[8586] | 188 | ! just needed here |
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[10994] | 189 | CALL tab_2d_1d( npti, nptidx(1:npti), zdelt (1:npti) , delta_i ) |
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[13999] | 190 | CALL tab_2d_1d( npti, nptidx(1:npti), zconv (1:npti) , rdg_conv ) |
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[8586] | 191 | ! needed here and in the iteration loop |
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[11732] | 192 | CALL tab_2d_1d( npti, nptidx(1:npti), zdivu (1:npti) , divu_i) ! zdivu is used as a work array here (no change in divu_i) |
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[10994] | 193 | CALL tab_3d_2d( npti, nptidx(1:npti), a_i_2d (1:npti,1:jpl), a_i ) |
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| 194 | CALL tab_3d_2d( npti, nptidx(1:npti), v_i_2d (1:npti,1:jpl), v_i ) |
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| 195 | CALL tab_2d_1d( npti, nptidx(1:npti), ato_i_1d(1:npti) , ato_i ) |
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[8586] | 196 | |
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| 197 | DO ji = 1, npti |
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[14072] | 198 | ! closing_net = rate at which open water area is removed + ice area removed by ridging |
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[9452] | 199 | ! - ice area added in new ridges |
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[14072] | 200 | IF( ln_rhg_EVP .OR. ln_rhg_VP ) & |
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[14011] | 201 | & closing_net(ji) = rn_csrdg * 0.5_wp * ( zdelt(ji) - ABS( zdivu(ji) ) ) - MIN( zdivu(ji), 0._wp ) |
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| 202 | IF( ln_rhg_EAP ) closing_net(ji) = zconv(ji) |
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[8586] | 203 | ! |
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[11732] | 204 | IF( zdivu(ji) < 0._wp ) closing_net(ji) = MAX( closing_net(ji), -zdivu(ji) ) ! make sure the closing rate is large enough |
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| 205 | ! ! to give asum = 1.0 after ridging |
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[9452] | 206 | ! Opening rate (non-negative) that will give asum = 1.0 after ridging. |
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[11732] | 207 | opning(ji) = closing_net(ji) + zdivu(ji) |
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[8586] | 208 | END DO |
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[9452] | 209 | ! |
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| 210 | !------------------------------------ |
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| 211 | ! 2) Identify grid cells with ridging |
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| 212 | !------------------------------------ |
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| 213 | CALL rdgrft_prep( a_i_2d, v_i_2d, ato_i_1d, closing_net ) |
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[8586] | 214 | |
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| 215 | DO ji = 1, npti |
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[9452] | 216 | IF( SUM( apartf(ji,1:jpl) ) > 0._wp .AND. closing_gross(ji) > 0._wp ) THEN |
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[8586] | 217 | ipti = ipti + 1 |
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| 218 | iptidx (ipti) = nptidx (ji) |
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[9452] | 219 | ! adjust to new indices |
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| 220 | a_i_2d (ipti,:) = a_i_2d (ji,:) |
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| 221 | v_i_2d (ipti,:) = v_i_2d (ji,:) |
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| 222 | ato_i_1d (ipti) = ato_i_1d (ji) |
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| 223 | closing_net(ipti) = closing_net(ji) |
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[11732] | 224 | zdivu (ipti) = zdivu (ji) |
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[9452] | 225 | opning (ipti) = opning (ji) |
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[8586] | 226 | ENDIF |
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| 227 | END DO |
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| 228 | |
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| 229 | ENDIF |
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| 230 | |
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[9452] | 231 | ! grid cells with ridging |
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| 232 | nptidx(:) = iptidx(:) |
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| 233 | npti = ipti |
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| 234 | |
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| 235 | !----------------- |
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| 236 | ! 3) Start ridging |
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| 237 | !----------------- |
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[8586] | 238 | IF( npti > 0 ) THEN |
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[14072] | 239 | |
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[9452] | 240 | CALL ice_dyn_1d2d( 1 ) ! --- Move to 1D arrays --- ! |
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| 241 | |
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[8586] | 242 | iter = 1 |
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[14072] | 243 | iterate_ridging = 1 |
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[9452] | 244 | ! !----------------------! |
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| 245 | DO WHILE( iterate_ridging > 0 .AND. iter < jp_itermax ) ! ridging iterations ! |
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| 246 | ! !----------------------! |
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| 247 | ! Calculate participation function (apartf) |
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| 248 | ! and transfer function |
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| 249 | ! and closing_gross (+correction on opening) |
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| 250 | CALL rdgrft_prep( a_i_2d, v_i_2d, ato_i_1d, closing_net ) |
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[8586] | 251 | |
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[9452] | 252 | ! Redistribute area, volume, and energy between categories |
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[8586] | 253 | CALL rdgrft_shift |
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| 254 | |
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[9452] | 255 | ! Do we keep on iterating? |
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| 256 | !------------------------- |
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| 257 | ! Check whether a_i + ato_i = 0 |
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| 258 | ! If not, because the closing and opening rates were reduced above, ridge again with new rates |
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[8586] | 259 | iterate_ridging = 0 |
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| 260 | DO ji = 1, npti |
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| 261 | zfac = 1._wp - ( ato_i_1d(ji) + SUM( a_i_2d(ji,:) ) ) |
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| 262 | IF( ABS( zfac ) < epsi10 ) THEN |
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| 263 | closing_net(ji) = 0._wp |
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| 264 | opning (ji) = 0._wp |
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| 265 | ato_i_1d (ji) = MAX( 0._wp, 1._wp - SUM( a_i_2d(ji,:) ) ) |
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| 266 | ELSE |
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| 267 | iterate_ridging = 1 |
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[12489] | 268 | zdivu (ji) = zfac * r1_Dt_ice |
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[11732] | 269 | closing_net(ji) = MAX( 0._wp, -zdivu(ji) ) |
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| 270 | opning (ji) = MAX( 0._wp, zdivu(ji) ) |
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[8586] | 271 | ENDIF |
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| 272 | END DO |
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| 273 | ! |
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| 274 | iter = iter + 1 |
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[10425] | 275 | IF( iter > jp_itermax ) CALL ctl_stop( 'STOP', 'icedyn_rdgrft: non-converging ridging scheme' ) |
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[8586] | 276 | ! |
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| 277 | END DO |
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| 278 | |
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[9452] | 279 | CALL ice_dyn_1d2d( 2 ) ! --- Move to 2D arrays --- ! |
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[8586] | 280 | |
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[9452] | 281 | ENDIF |
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[8586] | 282 | |
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[14072] | 283 | CALL ice_var_agg( 1 ) |
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| 284 | |
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[8586] | 285 | ! controls |
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[15340] | 286 | IF( sn_cfctl%l_prtctl ) CALL ice_prt3D('icedyn_rdgrft') ! prints |
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[11560] | 287 | IF( ln_icectl ) CALL ice_prt (kt, iiceprt, jiceprt,-1, ' - ice dyn rdgrft - ') ! prints |
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[9124] | 288 | IF( ln_icediachk ) CALL ice_cons_hsm(1, 'icedyn_rdgrft', rdiag_v, rdiag_s, rdiag_t, rdiag_fv, rdiag_fs, rdiag_ft) ! conservation |
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[11536] | 289 | IF( ln_icediachk ) CALL ice_cons2D (1, 'icedyn_rdgrft', diag_v, diag_s, diag_t, diag_fv, diag_fs, diag_ft) ! conservation |
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[9124] | 290 | IF( ln_timing ) CALL timing_stop ('icedyn_rdgrft') ! timing |
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[8586] | 291 | ! |
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| 292 | END SUBROUTINE ice_dyn_rdgrft |
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| 293 | |
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| 294 | |
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[9452] | 295 | SUBROUTINE rdgrft_prep( pa_i, pv_i, pato_i, pclosing_net ) |
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[8586] | 296 | !!------------------------------------------------------------------- |
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| 297 | !! *** ROUTINE rdgrft_prep *** |
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| 298 | !! |
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| 299 | !! ** Purpose : preparation for ridging calculations |
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| 300 | !! |
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[14072] | 301 | !! ** Method : Compute the thickness distribution of the ice and open water |
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[9452] | 302 | !! participating in ridging and of the resulting ridges. |
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[8586] | 303 | !!------------------------------------------------------------------- |
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[14072] | 304 | REAL(wp), DIMENSION(:) , INTENT(in) :: pato_i, pclosing_net |
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| 305 | REAL(wp), DIMENSION(:,:), INTENT(in) :: pa_i, pv_i |
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[8586] | 306 | !! |
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| 307 | INTEGER :: ji, jl ! dummy loop indices |
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| 308 | REAL(wp) :: z1_gstar, z1_astar, zhmean, zfac ! local scalar |
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[14072] | 309 | REAL(wp), DIMENSION(jpij) :: zasum, z1_asum, zaksum ! sum of a_i+ato_i and reverse |
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[8586] | 310 | REAL(wp), DIMENSION(jpij,jpl) :: zhi ! ice thickness |
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| 311 | REAL(wp), DIMENSION(jpij,-1:jpl) :: zGsum ! zGsum(n) = sum of areas in categories 0 to n |
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| 312 | !-------------------------------------------------------------------- |
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| 313 | |
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| 314 | z1_gstar = 1._wp / rn_gstar |
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| 315 | z1_astar = 1._wp / rn_astar |
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| 316 | |
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| 317 | ! ! Ice thickness needed for rafting |
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[13226] | 318 | ! In single precision there were floating point invalids due a sqrt of zhi which happens to have negative values |
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| 319 | ! To solve that an extra check about the value of pv_i was added. |
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| 320 | ! Although adding this condition is safe, the double definition (one for single other for double) has been kept to preserve the results of the sette test. |
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| 321 | #if defined key_single |
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| 322 | |
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| 323 | WHERE( pa_i(1:npti,:) > epsi10 .and. pv_i(1:npti,:) > epsi10 ) ; zhi(1:npti,:) = pv_i(1:npti,:) / pa_i(1:npti,:) |
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| 324 | #else |
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[11732] | 325 | WHERE( pa_i(1:npti,:) > epsi10 ) ; zhi(1:npti,:) = pv_i(1:npti,:) / pa_i(1:npti,:) |
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[13226] | 326 | #endif |
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[10994] | 327 | ELSEWHERE ; zhi(1:npti,:) = 0._wp |
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[8586] | 328 | END WHERE |
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| 329 | |
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[9452] | 330 | ! 1) Participation function (apartf): a(h) = b(h).g(h) |
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[8586] | 331 | !----------------------------------------------------------------- |
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[9452] | 332 | ! Compute the participation function = total area lost due to ridging/closing |
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| 333 | ! This is analogous to |
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| 334 | ! a(h) = b(h)g(h) as defined in Thorndike et al. (1975). |
---|
[14072] | 335 | ! assuming b(h) = (2/Gstar) * (1 - G(h)/Gstar). |
---|
[8586] | 336 | ! |
---|
[9452] | 337 | ! apartf = integrating b(h)g(h) between the category boundaries |
---|
[8586] | 338 | ! apartf is always >= 0 and SUM(apartf(0:jpl))=1 |
---|
| 339 | !----------------------------------------------------------------- |
---|
| 340 | ! |
---|
| 341 | ! Compute total area of ice plus open water. |
---|
| 342 | ! This is in general not equal to one because of divergence during transport |
---|
| 343 | zasum(1:npti) = pato_i(1:npti) + SUM( pa_i(1:npti,:), dim=2 ) |
---|
| 344 | ! |
---|
[11732] | 345 | WHERE( zasum(1:npti) > epsi10 ) ; z1_asum(1:npti) = 1._wp / zasum(1:npti) |
---|
[10994] | 346 | ELSEWHERE ; z1_asum(1:npti) = 0._wp |
---|
[8586] | 347 | END WHERE |
---|
[9452] | 348 | ! |
---|
[8586] | 349 | ! Compute cumulative thickness distribution function |
---|
| 350 | ! Compute the cumulative thickness distribution function zGsum, |
---|
| 351 | ! where zGsum(n) is the fractional area in categories 0 to n. |
---|
[9452] | 352 | ! initial value (in h = 0) = open water area |
---|
[8586] | 353 | zGsum(1:npti,-1) = 0._wp |
---|
| 354 | zGsum(1:npti,0 ) = pato_i(1:npti) * z1_asum(1:npti) |
---|
| 355 | DO jl = 1, jpl |
---|
| 356 | zGsum(1:npti,jl) = ( pato_i(1:npti) + SUM( pa_i(1:npti,1:jl), dim=2 ) ) * z1_asum(1:npti) ! sum(1:jl) is ok (and not jpl) |
---|
| 357 | END DO |
---|
| 358 | ! |
---|
| 359 | IF( ln_partf_lin ) THEN !--- Linear formulation (Thorndike et al., 1975) |
---|
[14072] | 360 | DO jl = 0, jpl |
---|
[8586] | 361 | DO ji = 1, npti |
---|
| 362 | IF ( zGsum(ji,jl) < rn_gstar ) THEN |
---|
| 363 | apartf(ji,jl) = z1_gstar * ( zGsum(ji,jl) - zGsum(ji,jl-1) ) * & |
---|
| 364 | & ( 2._wp - ( zGsum(ji,jl-1) + zGsum(ji,jl) ) * z1_gstar ) |
---|
| 365 | ELSEIF( zGsum(ji,jl-1) < rn_gstar ) THEN |
---|
| 366 | apartf(ji,jl) = z1_gstar * ( rn_gstar - zGsum(ji,jl-1) ) * & |
---|
[13618] | 367 | & ( 2._wp - ( zGsum(ji,jl-1) + rn_gstar ) * z1_gstar ) |
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[8586] | 368 | ELSE |
---|
| 369 | apartf(ji,jl) = 0._wp |
---|
| 370 | ENDIF |
---|
| 371 | END DO |
---|
| 372 | END DO |
---|
| 373 | ! |
---|
| 374 | ELSEIF( ln_partf_exp ) THEN !--- Exponential, more stable formulation (Lipscomb et al, 2007) |
---|
[14072] | 375 | ! |
---|
[8586] | 376 | zfac = 1._wp / ( 1._wp - EXP(-z1_astar) ) |
---|
| 377 | DO jl = -1, jpl |
---|
| 378 | DO ji = 1, npti |
---|
| 379 | zGsum(ji,jl) = EXP( -zGsum(ji,jl) * z1_astar ) * zfac |
---|
| 380 | END DO |
---|
| 381 | END DO |
---|
| 382 | DO jl = 0, jpl |
---|
| 383 | DO ji = 1, npti |
---|
| 384 | apartf(ji,jl) = zGsum(ji,jl-1) - zGsum(ji,jl) |
---|
| 385 | END DO |
---|
| 386 | END DO |
---|
| 387 | ! |
---|
| 388 | ENDIF |
---|
| 389 | |
---|
| 390 | ! !--- Ridging and rafting participation concentrations |
---|
| 391 | IF( ln_rafting .AND. ln_ridging ) THEN !- ridging & rafting |
---|
| 392 | DO jl = 1, jpl |
---|
| 393 | DO ji = 1, npti |
---|
| 394 | aridge(ji,jl) = ( 1._wp + TANH ( rn_craft * ( zhi(ji,jl) - rn_hraft ) ) ) * 0.5_wp * apartf(ji,jl) |
---|
| 395 | araft (ji,jl) = apartf(ji,jl) - aridge(ji,jl) |
---|
| 396 | END DO |
---|
| 397 | END DO |
---|
| 398 | ELSEIF( ln_ridging .AND. .NOT. ln_rafting ) THEN !- ridging alone |
---|
| 399 | DO jl = 1, jpl |
---|
| 400 | DO ji = 1, npti |
---|
| 401 | aridge(ji,jl) = apartf(ji,jl) |
---|
| 402 | araft (ji,jl) = 0._wp |
---|
| 403 | END DO |
---|
| 404 | END DO |
---|
[14072] | 405 | ELSEIF( ln_rafting .AND. .NOT. ln_ridging ) THEN !- rafting alone |
---|
[8586] | 406 | DO jl = 1, jpl |
---|
| 407 | DO ji = 1, npti |
---|
| 408 | aridge(ji,jl) = 0._wp |
---|
| 409 | araft (ji,jl) = apartf(ji,jl) |
---|
| 410 | END DO |
---|
| 411 | END DO |
---|
| 412 | ELSE !- no ridging & no rafting |
---|
| 413 | DO jl = 1, jpl |
---|
| 414 | DO ji = 1, npti |
---|
| 415 | aridge(ji,jl) = 0._wp |
---|
[14072] | 416 | araft (ji,jl) = 0._wp |
---|
[8586] | 417 | END DO |
---|
| 418 | END DO |
---|
| 419 | ENDIF |
---|
| 420 | |
---|
| 421 | ! 2) Transfer function |
---|
| 422 | !----------------------------------------------------------------- |
---|
| 423 | ! Compute max and min ridged ice thickness for each ridging category. |
---|
| 424 | ! Assume ridged ice is uniformly distributed between hrmin and hrmax. |
---|
[14072] | 425 | ! |
---|
[8586] | 426 | ! This parameterization is a modified version of Hibler (1980). |
---|
| 427 | ! The mean ridging thickness, zhmean, is proportional to hi^(0.5) |
---|
| 428 | ! and for very thick ridging ice must be >= hrdg_hi_min*hi |
---|
| 429 | ! |
---|
[14072] | 430 | ! The minimum ridging thickness, hrmin, is equal to 2*hi |
---|
[8586] | 431 | ! (i.e., rafting) and for very thick ridging ice is |
---|
| 432 | ! constrained by hrmin <= (zhmean + hi)/2. |
---|
[14072] | 433 | ! |
---|
[9452] | 434 | ! The maximum ridging thickness, hrmax, is determined by zhmean and hrmin. |
---|
[8586] | 435 | ! |
---|
| 436 | ! These modifications have the effect of reducing the ice strength |
---|
[9452] | 437 | ! (relative to the Hibler formulation) when very thick ice is ridging. |
---|
[8586] | 438 | ! |
---|
| 439 | ! zaksum = net area removed/ total area removed |
---|
| 440 | ! where total area removed = area of ice that ridges |
---|
| 441 | ! net area removed = total area removed - area of new ridges |
---|
| 442 | !----------------------------------------------------------------- |
---|
| 443 | zfac = 1._wp / hi_hrft |
---|
| 444 | zaksum(1:npti) = apartf(1:npti,0) |
---|
[9452] | 445 | ! |
---|
| 446 | DO jl = 1, jpl |
---|
[8586] | 447 | DO ji = 1, npti |
---|
| 448 | IF ( apartf(ji,jl) > 0._wp ) THEN |
---|
| 449 | zhmean = MAX( SQRT( rn_hstar * zhi(ji,jl) ), zhi(ji,jl) * hrdg_hi_min ) |
---|
| 450 | hrmin (ji,jl) = MIN( 2._wp * zhi(ji,jl), 0.5_wp * ( zhmean + zhi(ji,jl) ) ) |
---|
| 451 | hrmax (ji,jl) = 2._wp * zhmean - hrmin(ji,jl) |
---|
| 452 | hraft (ji,jl) = zhi(ji,jl) * zfac |
---|
| 453 | hi_hrdg(ji,jl) = zhi(ji,jl) / MAX( zhmean, epsi20 ) |
---|
| 454 | ! |
---|
| 455 | ! Normalization factor : zaksum, ensures mass conservation |
---|
| 456 | zaksum(ji) = zaksum(ji) + aridge(ji,jl) * ( 1._wp - hi_hrdg(ji,jl) ) & |
---|
| 457 | & + araft (ji,jl) * ( 1._wp - hi_hrft ) |
---|
| 458 | ELSE |
---|
[14072] | 459 | hrmin (ji,jl) = 0._wp |
---|
| 460 | hrmax (ji,jl) = 0._wp |
---|
| 461 | hraft (ji,jl) = 0._wp |
---|
[8586] | 462 | hi_hrdg(ji,jl) = 1._wp |
---|
| 463 | ENDIF |
---|
| 464 | END DO |
---|
| 465 | END DO |
---|
| 466 | ! |
---|
[9452] | 467 | ! 3) closing_gross |
---|
| 468 | !----------------- |
---|
[14072] | 469 | ! Based on the ITD of ridging and ridged ice, convert the net closing rate to a gross closing rate. |
---|
[8586] | 470 | ! NOTE: 0 < aksum <= 1 |
---|
[11732] | 471 | WHERE( zaksum(1:npti) > epsi10 ) ; closing_gross(1:npti) = pclosing_net(1:npti) / zaksum(1:npti) |
---|
[10994] | 472 | ELSEWHERE ; closing_gross(1:npti) = 0._wp |
---|
[8586] | 473 | END WHERE |
---|
[14072] | 474 | |
---|
[9452] | 475 | ! correction to closing rate if excessive ice removal |
---|
| 476 | !---------------------------------------------------- |
---|
| 477 | ! Reduce the closing rate if more than 100% of any ice category would be removed |
---|
| 478 | ! Reduce the opening rate in proportion |
---|
[8586] | 479 | DO jl = 1, jpl |
---|
| 480 | DO ji = 1, npti |
---|
[12489] | 481 | zfac = apartf(ji,jl) * closing_gross(ji) * rDt_ice |
---|
[10994] | 482 | IF( zfac > pa_i(ji,jl) .AND. apartf(ji,jl) /= 0._wp ) THEN |
---|
[12489] | 483 | closing_gross(ji) = pa_i(ji,jl) / apartf(ji,jl) * r1_Dt_ice |
---|
[8586] | 484 | ENDIF |
---|
| 485 | END DO |
---|
[14072] | 486 | END DO |
---|
[9452] | 487 | |
---|
| 488 | ! 4) correction to opening if excessive open water removal |
---|
| 489 | !--------------------------------------------------------- |
---|
| 490 | ! Reduce the closing rate if more than 100% of the open water would be removed |
---|
| 491 | ! Reduce the opening rate in proportion |
---|
[14072] | 492 | DO ji = 1, npti |
---|
[12489] | 493 | zfac = pato_i(ji) + ( opning(ji) - apartf(ji,0) * closing_gross(ji) ) * rDt_ice |
---|
[9452] | 494 | IF( zfac < 0._wp ) THEN ! would lead to negative ato_i |
---|
[14072] | 495 | opning(ji) = apartf(ji,0) * closing_gross(ji) - pato_i(ji) * r1_Dt_ice |
---|
[9452] | 496 | ELSEIF( zfac > zasum(ji) ) THEN ! would lead to ato_i > asum |
---|
[14072] | 497 | opning(ji) = apartf(ji,0) * closing_gross(ji) + ( zasum(ji) - pato_i(ji) ) * r1_Dt_ice |
---|
[9452] | 498 | ENDIF |
---|
| 499 | END DO |
---|
[8586] | 500 | ! |
---|
| 501 | END SUBROUTINE rdgrft_prep |
---|
| 502 | |
---|
| 503 | |
---|
| 504 | SUBROUTINE rdgrft_shift |
---|
| 505 | !!------------------------------------------------------------------- |
---|
| 506 | !! *** ROUTINE rdgrft_shift *** |
---|
| 507 | !! |
---|
| 508 | !! ** Purpose : shift ridging ice among thickness categories of ice thickness |
---|
| 509 | !! |
---|
| 510 | !! ** Method : Remove area, volume, and energy from each ridging category |
---|
[9452] | 511 | !! and add to thicker ice categories. |
---|
[8586] | 512 | !!------------------------------------------------------------------- |
---|
| 513 | ! |
---|
| 514 | INTEGER :: ji, jj, jl, jl1, jl2, jk ! dummy loop indices |
---|
| 515 | REAL(wp) :: hL, hR, farea ! left and right limits of integration and new area going to jl2 |
---|
| 516 | REAL(wp) :: vsw ! vol of water trapped into ridges |
---|
[14072] | 517 | REAL(wp) :: afrdg, afrft ! fraction of category area ridged/rafted |
---|
[8586] | 518 | REAL(wp) :: airdg1, oirdg1, aprdg1, virdg1, sirdg1 |
---|
| 519 | REAL(wp) :: airft1, oirft1, aprft1 |
---|
[13472] | 520 | REAL(wp), DIMENSION(jpij) :: airdg2, oirdg2, aprdg2, virdg2, sirdg2, vsrdg, vprdg, vlrdg ! area etc of new ridges |
---|
| 521 | REAL(wp), DIMENSION(jpij) :: airft2, oirft2, aprft2, virft , sirft , vsrft, vprft, vlrft ! area etc of rafted ice |
---|
[8586] | 522 | ! |
---|
| 523 | REAL(wp), DIMENSION(jpij) :: ersw ! enth of water trapped into ridges |
---|
| 524 | REAL(wp), DIMENSION(jpij) :: zswitch, fvol ! new ridge volume going to jl2 |
---|
| 525 | REAL(wp), DIMENSION(jpij) :: z1_ai ! 1 / a |
---|
[10994] | 526 | REAL(wp), DIMENSION(jpij) :: zvti ! sum(v_i) |
---|
[8586] | 527 | ! |
---|
[9271] | 528 | REAL(wp), DIMENSION(jpij,nlay_s) :: esrft ! snow energy of rafting ice |
---|
| 529 | REAL(wp), DIMENSION(jpij,nlay_i) :: eirft ! ice energy of rafting ice |
---|
[14072] | 530 | REAL(wp), DIMENSION(jpij,nlay_s) :: esrdg ! enth*volume of new ridges |
---|
[8586] | 531 | REAL(wp), DIMENSION(jpij,nlay_i) :: eirdg ! enth*volume of new ridges |
---|
[9452] | 532 | ! |
---|
| 533 | INTEGER , DIMENSION(jpij) :: itest_rdg, itest_rft ! test for conservation |
---|
[15340] | 534 | LOGICAL , DIMENSION(jpij) :: ll_shift ! logical for doing calculation or not |
---|
[8586] | 535 | !!------------------------------------------------------------------- |
---|
[10994] | 536 | ! |
---|
| 537 | zvti(1:npti) = SUM( v_i_2d(1:npti,:), dim=2 ) ! total ice volume |
---|
| 538 | ! |
---|
[9452] | 539 | ! 1) Change in open water area due to closing and opening |
---|
| 540 | !-------------------------------------------------------- |
---|
[8586] | 541 | DO ji = 1, npti |
---|
[12489] | 542 | ato_i_1d(ji) = MAX( 0._wp, ato_i_1d(ji) + ( opning(ji) - apartf(ji,0) * closing_gross(ji) ) * rDt_ice ) |
---|
[8586] | 543 | END DO |
---|
[14072] | 544 | |
---|
| 545 | ! 2) compute categories in which ice is removed (jl1) |
---|
[9452] | 546 | !---------------------------------------------------- |
---|
[8586] | 547 | DO jl1 = 1, jpl |
---|
| 548 | |
---|
[14072] | 549 | IF( nn_icesal /= 2 ) THEN |
---|
[13495] | 550 | CALL tab_2d_1d( npti, nptidx(1:npti), s_i_1d(1:npti), s_i(:,:,jl1) ) |
---|
| 551 | ENDIF |
---|
[8586] | 552 | |
---|
| 553 | DO ji = 1, npti |
---|
| 554 | |
---|
[15340] | 555 | ! set logical to true when ridging |
---|
| 556 | IF( apartf(ji,jl1) > 0._wp .AND. closing_gross(ji) > 0._wp ) THEN ; ll_shift(ji) = .TRUE. |
---|
| 557 | ELSE ; ll_shift(ji) = .FALSE. |
---|
| 558 | ENDIF |
---|
| 559 | |
---|
| 560 | IF( ll_shift(ji) ) THEN ! only if ice is ridging |
---|
[8586] | 561 | |
---|
[11732] | 562 | IF( a_i_2d(ji,jl1) > epsi10 ) THEN ; z1_ai(ji) = 1._wp / a_i_2d(ji,jl1) |
---|
[10994] | 563 | ELSE ; z1_ai(ji) = 0._wp |
---|
| 564 | ENDIF |
---|
[14072] | 565 | |
---|
[9452] | 566 | ! area of ridging / rafting ice (airdg1) and of new ridge (airdg2) |
---|
[12489] | 567 | airdg1 = aridge(ji,jl1) * closing_gross(ji) * rDt_ice |
---|
| 568 | airft1 = araft (ji,jl1) * closing_gross(ji) * rDt_ice |
---|
[8586] | 569 | |
---|
| 570 | airdg2(ji) = airdg1 * hi_hrdg(ji,jl1) |
---|
| 571 | airft2(ji) = airft1 * hi_hrft |
---|
| 572 | |
---|
[9452] | 573 | ! ridging /rafting fractions |
---|
[8586] | 574 | afrdg = airdg1 * z1_ai(ji) |
---|
| 575 | afrft = airft1 * z1_ai(ji) |
---|
| 576 | |
---|
| 577 | ! volume and enthalpy (J/m2, >0) of seawater trapped into ridges |
---|
[10994] | 578 | IF ( zvti(ji) <= 10. ) THEN ; vsw = v_i_2d(ji,jl1) * afrdg * rn_porordg ! v <= 10m then porosity = rn_porordg |
---|
| 579 | ELSEIF( zvti(ji) >= 20. ) THEN ; vsw = 0._wp ! v >= 20m then porosity = 0 |
---|
| 580 | ELSE ; vsw = v_i_2d(ji,jl1) * afrdg * rn_porordg * MAX( 0._wp, 2._wp - 0.1_wp * zvti(ji) ) ! v > 10m and v < 20m then porosity = linear transition to 0 |
---|
| 581 | ENDIF |
---|
[9935] | 582 | ersw(ji) = -rhoi * vsw * rcp * sst_1d(ji) ! clem: if sst>0, then ersw <0 (is that possible?) |
---|
[8586] | 583 | |
---|
[9452] | 584 | ! volume etc of ridging / rafting ice and new ridges (vi, vs, sm, oi, es, ei) |
---|
[8586] | 585 | virdg1 = v_i_2d (ji,jl1) * afrdg |
---|
[10994] | 586 | virdg2(ji) = v_i_2d (ji,jl1) * afrdg + vsw |
---|
[8586] | 587 | vsrdg(ji) = v_s_2d (ji,jl1) * afrdg |
---|
| 588 | sirdg1 = sv_i_2d(ji,jl1) * afrdg |
---|
| 589 | sirdg2(ji) = sv_i_2d(ji,jl1) * afrdg + vsw * sss_1d(ji) |
---|
| 590 | oirdg1 = oa_i_2d(ji,jl1) * afrdg |
---|
[14072] | 591 | oirdg2(ji) = oa_i_2d(ji,jl1) * afrdg * hi_hrdg(ji,jl1) |
---|
[8586] | 592 | |
---|
| 593 | virft(ji) = v_i_2d (ji,jl1) * afrft |
---|
| 594 | vsrft(ji) = v_s_2d (ji,jl1) * afrft |
---|
[14072] | 595 | sirft(ji) = sv_i_2d(ji,jl1) * afrft |
---|
| 596 | oirft1 = oa_i_2d(ji,jl1) * afrft |
---|
| 597 | oirft2(ji) = oa_i_2d(ji,jl1) * afrft * hi_hrft |
---|
[8586] | 598 | |
---|
[14005] | 599 | IF ( ln_pnd_LEV .OR. ln_pnd_TOPO ) THEN |
---|
[8586] | 600 | aprdg1 = a_ip_2d(ji,jl1) * afrdg |
---|
| 601 | aprdg2(ji) = a_ip_2d(ji,jl1) * afrdg * hi_hrdg(ji,jl1) |
---|
| 602 | vprdg (ji) = v_ip_2d(ji,jl1) * afrdg |
---|
| 603 | aprft1 = a_ip_2d(ji,jl1) * afrft |
---|
| 604 | aprft2(ji) = a_ip_2d(ji,jl1) * afrft * hi_hrft |
---|
| 605 | vprft (ji) = v_ip_2d(ji,jl1) * afrft |
---|
[13472] | 606 | IF ( ln_pnd_lids ) THEN |
---|
| 607 | vlrdg (ji) = v_il_2d(ji,jl1) * afrdg |
---|
| 608 | vlrft (ji) = v_il_2d(ji,jl1) * afrft |
---|
| 609 | ENDIF |
---|
[8586] | 610 | ENDIF |
---|
| 611 | |
---|
[9452] | 612 | ! Ice-ocean exchanges associated with ice porosity |
---|
[12489] | 613 | wfx_dyn_1d(ji) = wfx_dyn_1d(ji) - vsw * rhoi * r1_Dt_ice ! increase in ice volume due to seawater frozen in voids |
---|
| 614 | sfx_dyn_1d(ji) = sfx_dyn_1d(ji) - vsw * sss_1d(ji) * rhoi * r1_Dt_ice |
---|
[14072] | 615 | hfx_dyn_1d(ji) = hfx_dyn_1d(ji) + ersw(ji) * r1_Dt_ice ! > 0 [W.m-2] |
---|
[8586] | 616 | |
---|
| 617 | ! Put the snow lost by ridging into the ocean |
---|
| 618 | ! Note that esrdg > 0; the ocean must cool to melt snow. If the ocean temp = Tf already, new ice must grow. |
---|
[9935] | 619 | wfx_snw_dyn_1d(ji) = wfx_snw_dyn_1d(ji) + ( rhos * vsrdg(ji) * ( 1._wp - rn_fsnwrdg ) & ! fresh water source for ocean |
---|
[12489] | 620 | & + rhos * vsrft(ji) * ( 1._wp - rn_fsnwrft ) ) * r1_Dt_ice |
---|
[8586] | 621 | |
---|
| 622 | ! virtual salt flux to keep salinity constant |
---|
| 623 | IF( nn_icesal /= 2 ) THEN |
---|
[11732] | 624 | sirdg2(ji) = sirdg2(ji) - vsw * ( sss_1d(ji) - s_i_1d(ji) ) ! ridge salinity = s_i |
---|
[12489] | 625 | sfx_bri_1d(ji) = sfx_bri_1d(ji) + sss_1d(ji) * vsw * rhoi * r1_Dt_ice & ! put back sss_m into the ocean |
---|
[14072] | 626 | & - s_i_1d(ji) * vsw * rhoi * r1_Dt_ice ! and get s_i from the ocean |
---|
[8586] | 627 | ENDIF |
---|
| 628 | |
---|
[9452] | 629 | ! Remove area, volume of new ridge to each category jl1 |
---|
| 630 | !------------------------------------------------------ |
---|
[8586] | 631 | a_i_2d (ji,jl1) = a_i_2d (ji,jl1) - airdg1 - airft1 |
---|
| 632 | v_i_2d (ji,jl1) = v_i_2d (ji,jl1) - virdg1 - virft(ji) |
---|
| 633 | v_s_2d (ji,jl1) = v_s_2d (ji,jl1) - vsrdg(ji) - vsrft(ji) |
---|
| 634 | sv_i_2d(ji,jl1) = sv_i_2d(ji,jl1) - sirdg1 - sirft(ji) |
---|
| 635 | oa_i_2d(ji,jl1) = oa_i_2d(ji,jl1) - oirdg1 - oirft1 |
---|
[14005] | 636 | IF ( ln_pnd_LEV .OR. ln_pnd_TOPO ) THEN |
---|
[8586] | 637 | a_ip_2d(ji,jl1) = a_ip_2d(ji,jl1) - aprdg1 - aprft1 |
---|
| 638 | v_ip_2d(ji,jl1) = v_ip_2d(ji,jl1) - vprdg(ji) - vprft(ji) |
---|
[13472] | 639 | IF ( ln_pnd_lids ) THEN |
---|
| 640 | v_il_2d(ji,jl1) = v_il_2d(ji,jl1) - vlrdg(ji) - vlrft(ji) |
---|
| 641 | ENDIF |
---|
[8586] | 642 | ENDIF |
---|
| 643 | ENDIF |
---|
| 644 | |
---|
| 645 | END DO ! ji |
---|
| 646 | |
---|
[9271] | 647 | ! special loop for e_s because of layers jk |
---|
| 648 | DO jk = 1, nlay_s |
---|
| 649 | DO ji = 1, npti |
---|
[15340] | 650 | IF( ll_shift(ji) ) THEN |
---|
[9271] | 651 | ! Compute ridging /rafting fractions |
---|
[12489] | 652 | afrdg = aridge(ji,jl1) * closing_gross(ji) * rDt_ice * z1_ai(ji) |
---|
| 653 | afrft = araft (ji,jl1) * closing_gross(ji) * rDt_ice * z1_ai(ji) |
---|
[9452] | 654 | ! Compute ridging /rafting ice and new ridges for es |
---|
[9271] | 655 | esrdg(ji,jk) = ze_s_2d (ji,jk,jl1) * afrdg |
---|
| 656 | esrft(ji,jk) = ze_s_2d (ji,jk,jl1) * afrft |
---|
| 657 | ! Put the snow lost by ridging into the ocean |
---|
| 658 | hfx_dyn_1d(ji) = hfx_dyn_1d(ji) + ( - esrdg(ji,jk) * ( 1._wp - rn_fsnwrdg ) & ! heat sink for ocean (<0, W.m-2) |
---|
[12489] | 659 | & - esrft(ji,jk) * ( 1._wp - rn_fsnwrft ) ) * r1_Dt_ice |
---|
[9452] | 660 | ! |
---|
| 661 | ! Remove energy of new ridge to each category jl1 |
---|
| 662 | !------------------------------------------------- |
---|
[14072] | 663 | ze_s_2d(ji,jk,jl1) = ze_s_2d(ji,jk,jl1) * ( 1._wp - afrdg - afrft ) |
---|
[9271] | 664 | ENDIF |
---|
| 665 | END DO |
---|
| 666 | END DO |
---|
[14072] | 667 | |
---|
[8586] | 668 | ! special loop for e_i because of layers jk |
---|
| 669 | DO jk = 1, nlay_i |
---|
| 670 | DO ji = 1, npti |
---|
[15340] | 671 | IF( ll_shift(ji) ) THEN |
---|
[8586] | 672 | ! Compute ridging /rafting fractions |
---|
[12489] | 673 | afrdg = aridge(ji,jl1) * closing_gross(ji) * rDt_ice * z1_ai(ji) |
---|
| 674 | afrft = araft (ji,jl1) * closing_gross(ji) * rDt_ice * z1_ai(ji) |
---|
[8586] | 675 | ! Compute ridging ice and new ridges for ei |
---|
| 676 | eirdg(ji,jk) = ze_i_2d (ji,jk,jl1) * afrdg + ersw(ji) * r1_nlay_i |
---|
| 677 | eirft(ji,jk) = ze_i_2d (ji,jk,jl1) * afrft |
---|
[9452] | 678 | ! |
---|
| 679 | ! Remove energy of new ridge to each category jl1 |
---|
| 680 | !------------------------------------------------- |
---|
[14072] | 681 | ze_i_2d(ji,jk,jl1) = ze_i_2d(ji,jk,jl1) * ( 1._wp - afrdg - afrft ) |
---|
[8586] | 682 | ENDIF |
---|
| 683 | END DO |
---|
| 684 | END DO |
---|
[14072] | 685 | |
---|
| 686 | ! 3) compute categories in which ice is added (jl2) |
---|
[9452] | 687 | !-------------------------------------------------- |
---|
| 688 | itest_rdg(1:npti) = 0 |
---|
| 689 | itest_rft(1:npti) = 0 |
---|
[14072] | 690 | DO jl2 = 1, jpl |
---|
[8586] | 691 | ! |
---|
| 692 | DO ji = 1, npti |
---|
| 693 | |
---|
[15340] | 694 | IF( ll_shift(ji) ) THEN |
---|
[8586] | 695 | |
---|
[9452] | 696 | ! Compute the fraction of ridged ice area and volume going to thickness category jl2 |
---|
[8586] | 697 | IF( hrmin(ji,jl1) <= hi_max(jl2) .AND. hrmax(ji,jl1) > hi_max(jl2-1) ) THEN |
---|
| 698 | hL = MAX( hrmin(ji,jl1), hi_max(jl2-1) ) |
---|
| 699 | hR = MIN( hrmax(ji,jl1), hi_max(jl2) ) |
---|
| 700 | farea = ( hR - hL ) / ( hrmax(ji,jl1) - hrmin(ji,jl1) ) |
---|
| 701 | fvol(ji) = ( hR * hR - hL * hL ) / ( hrmax(ji,jl1) * hrmax(ji,jl1) - hrmin(ji,jl1) * hrmin(ji,jl1) ) |
---|
[9452] | 702 | ! |
---|
| 703 | itest_rdg(ji) = 1 ! test for conservation |
---|
[8586] | 704 | ELSE |
---|
[14072] | 705 | farea = 0._wp |
---|
| 706 | fvol(ji) = 0._wp |
---|
[8586] | 707 | ENDIF |
---|
| 708 | |
---|
| 709 | ! Compute the fraction of rafted ice area and volume going to thickness category jl2 |
---|
[9452] | 710 | IF( hraft(ji,jl1) <= hi_max(jl2) .AND. hraft(ji,jl1) > hi_max(jl2-1) ) THEN |
---|
| 711 | zswitch(ji) = 1._wp |
---|
| 712 | ! |
---|
| 713 | itest_rft(ji) = 1 ! test for conservation |
---|
| 714 | ELSE |
---|
| 715 | zswitch(ji) = 0._wp |
---|
[8586] | 716 | ENDIF |
---|
| 717 | ! |
---|
[9452] | 718 | ! Patch to ensure perfect conservation if ice thickness goes mad |
---|
| 719 | ! Sometimes thickness is larger than hi_max(jpl) because of advection scheme (for very small areas) |
---|
| 720 | ! Then ice volume is removed from one category but the ridging/rafting scheme |
---|
[14072] | 721 | ! does not know where to move it, leading to a conservation issue. |
---|
[9452] | 722 | IF( itest_rdg(ji) == 0 .AND. jl2 == jpl ) THEN ; farea = 1._wp ; fvol(ji) = 1._wp ; ENDIF |
---|
| 723 | IF( itest_rft(ji) == 0 .AND. jl2 == jpl ) zswitch(ji) = 1._wp |
---|
| 724 | ! |
---|
| 725 | ! Add area, volume of new ridge to category jl2 |
---|
| 726 | !---------------------------------------------- |
---|
[8586] | 727 | a_i_2d (ji,jl2) = a_i_2d (ji,jl2) + ( airdg2(ji) * farea + airft2(ji) * zswitch(ji) ) |
---|
| 728 | oa_i_2d(ji,jl2) = oa_i_2d(ji,jl2) + ( oirdg2(ji) * farea + oirft2(ji) * zswitch(ji) ) |
---|
| 729 | v_i_2d (ji,jl2) = v_i_2d (ji,jl2) + ( virdg2(ji) * fvol(ji) + virft (ji) * zswitch(ji) ) |
---|
| 730 | sv_i_2d(ji,jl2) = sv_i_2d(ji,jl2) + ( sirdg2(ji) * fvol(ji) + sirft (ji) * zswitch(ji) ) |
---|
| 731 | v_s_2d (ji,jl2) = v_s_2d (ji,jl2) + ( vsrdg (ji) * rn_fsnwrdg * fvol(ji) + & |
---|
[9271] | 732 | & vsrft (ji) * rn_fsnwrft * zswitch(ji) ) |
---|
[14005] | 733 | IF ( ln_pnd_LEV .OR. ln_pnd_TOPO ) THEN |
---|
[8586] | 734 | v_ip_2d (ji,jl2) = v_ip_2d(ji,jl2) + ( vprdg (ji) * rn_fpndrdg * fvol (ji) & |
---|
| 735 | & + vprft (ji) * rn_fpndrft * zswitch(ji) ) |
---|
[14072] | 736 | a_ip_2d (ji,jl2) = a_ip_2d(ji,jl2) + ( aprdg2(ji) * rn_fpndrdg * farea & |
---|
[8586] | 737 | & + aprft2(ji) * rn_fpndrft * zswitch(ji) ) |
---|
[13472] | 738 | IF ( ln_pnd_lids ) THEN |
---|
| 739 | v_il_2d (ji,jl2) = v_il_2d(ji,jl2) + ( vlrdg(ji) * rn_fpndrdg * fvol (ji) & |
---|
| 740 | & + vlrft(ji) * rn_fpndrft * zswitch(ji) ) |
---|
| 741 | ENDIF |
---|
[8586] | 742 | ENDIF |
---|
[14072] | 743 | |
---|
[8586] | 744 | ENDIF |
---|
| 745 | |
---|
| 746 | END DO |
---|
[9452] | 747 | ! Add snow energy of new ridge to category jl2 |
---|
| 748 | !--------------------------------------------- |
---|
[9271] | 749 | DO jk = 1, nlay_s |
---|
| 750 | DO ji = 1, npti |
---|
[15340] | 751 | IF( ll_shift(ji) ) & |
---|
[9271] | 752 | & ze_s_2d(ji,jk,jl2) = ze_s_2d(ji,jk,jl2) + ( esrdg(ji,jk) * rn_fsnwrdg * fvol(ji) + & |
---|
| 753 | & esrft(ji,jk) * rn_fsnwrft * zswitch(ji) ) |
---|
| 754 | END DO |
---|
| 755 | END DO |
---|
[9452] | 756 | ! Add ice energy of new ridge to category jl2 |
---|
| 757 | !-------------------------------------------- |
---|
[8586] | 758 | DO jk = 1, nlay_i |
---|
| 759 | DO ji = 1, npti |
---|
[15340] | 760 | IF( ll_shift(ji) ) & |
---|
[14072] | 761 | & ze_i_2d(ji,jk,jl2) = ze_i_2d(ji,jk,jl2) + eirdg(ji,jk) * fvol(ji) + eirft(ji,jk) * zswitch(ji) |
---|
[8586] | 762 | END DO |
---|
| 763 | END DO |
---|
| 764 | ! |
---|
| 765 | END DO ! jl2 |
---|
| 766 | ! |
---|
| 767 | END DO ! jl1 |
---|
| 768 | ! |
---|
[10994] | 769 | ! roundoff errors |
---|
| 770 | !---------------- |
---|
[8586] | 771 | ! In case ridging/rafting lead to very small negative values (sometimes it happens) |
---|
[13472] | 772 | CALL ice_var_roundoff( a_i_2d, v_i_2d, v_s_2d, sv_i_2d, oa_i_2d, a_ip_2d, v_ip_2d, v_il_2d, ze_s_2d, ze_i_2d ) |
---|
[8586] | 773 | ! |
---|
| 774 | END SUBROUTINE rdgrft_shift |
---|
| 775 | |
---|
| 776 | |
---|
| 777 | SUBROUTINE ice_strength |
---|
| 778 | !!---------------------------------------------------------------------- |
---|
| 779 | !! *** ROUTINE ice_strength *** |
---|
| 780 | !! |
---|
| 781 | !! ** Purpose : computes ice strength used in dynamics routines of ice thickness |
---|
| 782 | !! |
---|
[14072] | 783 | !! ** Method : Compute the strength of the ice pack, defined as the energy (J m-2) |
---|
[8586] | 784 | !! dissipated per unit area removed from the ice pack under compression, |
---|
| 785 | !! and assumed proportional to the change in potential energy caused |
---|
| 786 | !! by ridging. Note that only Hibler's formulation is stable and that |
---|
| 787 | !! ice strength has to be smoothed |
---|
| 788 | !!---------------------------------------------------------------------- |
---|
| 789 | INTEGER :: ji, jj, jl ! dummy loop indices |
---|
[15549] | 790 | REAL(wp) :: z1_3 ! local scalars |
---|
[8586] | 791 | REAL(wp), DIMENSION(jpi,jpj) :: zworka ! temporary array used here |
---|
[15549] | 792 | !!clem |
---|
| 793 | LOGICAL :: ln_str_R75 |
---|
| 794 | REAL(wp) :: zhi, zcp, rn_pe_rdg |
---|
| 795 | REAL(wp), DIMENSION(jpij) :: zstrength, zaksum ! strength in 1D |
---|
[8586] | 796 | !!---------------------------------------------------------------------- |
---|
[15549] | 797 | ! |
---|
| 798 | SELECT CASE( nice_str ) !--- Set which ice strength is chosen |
---|
| 799 | |
---|
| 800 | CASE ( np_strr75 ) !== Rothrock(1975)'s method ==! |
---|
| 801 | |
---|
| 802 | ! these 2 param should be defined once for all at the 1st time step |
---|
| 803 | zcp = 0.5_wp * grav * (rho0-rhoi) * rhoi * r1_rho0 ! proport const for PE |
---|
| 804 | ! |
---|
| 805 | strength(:,:) = 0._wp |
---|
| 806 | ! |
---|
| 807 | ! Identify grid cells with ice |
---|
| 808 | at_i(:,:) = SUM( a_i, dim=3 ) |
---|
| 809 | npti = 0 ; nptidx(:) = 0 |
---|
| 810 | DO_2D( nn_hls, nn_hls, nn_hls, nn_hls ) |
---|
| 811 | IF ( at_i(ji,jj) > epsi10 ) THEN |
---|
| 812 | npti = npti + 1 |
---|
| 813 | nptidx( npti ) = (jj - 1) * jpi + ji |
---|
| 814 | ENDIF |
---|
| 815 | END_2D |
---|
| 816 | |
---|
| 817 | IF( npti > 0 ) THEN |
---|
| 818 | CALL tab_3d_2d( npti, nptidx(1:npti), a_i_2d (1:npti,1:jpl), a_i ) |
---|
| 819 | CALL tab_3d_2d( npti, nptidx(1:npti), v_i_2d (1:npti,1:jpl), v_i ) |
---|
| 820 | CALL tab_2d_1d( npti, nptidx(1:npti), ato_i_1d(1:npti) , ato_i ) |
---|
| 821 | CALL tab_2d_1d( npti, nptidx(1:npti), zstrength(1:npti) , strength ) |
---|
| 822 | |
---|
| 823 | CALL rdgrft_prep( a_i_2d, v_i_2d, ato_i_1d, closing_net ) |
---|
| 824 | ! |
---|
| 825 | zaksum(1:npti) = apartf(1:npti,0) !clem: aksum should be defined in the header => local to module |
---|
| 826 | DO jl = 1, jpl |
---|
| 827 | DO ji = 1, npti |
---|
| 828 | IF ( apartf(ji,jl) > 0._wp ) THEN |
---|
| 829 | zaksum(ji) = zaksum(ji) + aridge(ji,jl) * ( 1._wp - hi_hrdg(ji,jl) ) & |
---|
| 830 | & + araft (ji,jl) * ( 1._wp - hi_hrft ) |
---|
| 831 | ENDIF |
---|
| 832 | END DO |
---|
| 833 | END DO |
---|
| 834 | ! |
---|
| 835 | z1_3 = 1._wp / 3._wp |
---|
| 836 | DO jl = 1, jpl |
---|
| 837 | DO ji = 1, npti |
---|
| 838 | ! |
---|
| 839 | IF( apartf(ji,jl) > 0._wp ) THEN |
---|
| 840 | ! |
---|
| 841 | IF( a_i_2d(ji,jl) > epsi10 ) THEN ; zhi = v_i_2d(ji,jl) / a_i_2d(ji,jl) |
---|
| 842 | ELSE ; zhi = 0._wp |
---|
| 843 | ENDIF |
---|
| 844 | zstrength(ji) = zstrength(ji) - apartf(ji,jl) * zhi * zhi ! PE loss from deforming ice |
---|
| 845 | zstrength(ji) = zstrength(ji) + 2._wp * araft (ji,jl) * zhi * zhi ! PE gain from rafting ice |
---|
| 846 | zstrength(ji) = zstrength(ji) + aridge(ji,jl) * hi_hrdg(ji,jl) * z1_3 * & ! PE gain from ridging ice |
---|
| 847 | & ( hrmax(ji,jl) * hrmax(ji,jl) + & ! (a**3-b**3)/(a-b) = a*a+ab+b*b |
---|
| 848 | & hrmin(ji,jl) * hrmin(ji,jl) + & |
---|
| 849 | & hrmax(ji,jl) * hrmin(ji,jl) ) |
---|
| 850 | ENDIF |
---|
| 851 | ! |
---|
| 852 | END DO |
---|
| 853 | END DO |
---|
| 854 | ! |
---|
| 855 | zstrength(1:npti) = rn_pe_rdg * zcp * zstrength(1:npti) / zaksum(1:npti) |
---|
| 856 | ! |
---|
| 857 | CALL tab_1d_2d( npti, nptidx(1:npti), zstrength(1:npti), strength ) |
---|
| 858 | ! |
---|
| 859 | ENDIF |
---|
| 860 | ! |
---|
| 861 | CASE ( np_strh79 ) !== Hibler(1979)'s method ==! |
---|
[8586] | 862 | strength(:,:) = rn_pstar * SUM( v_i(:,:,:), dim=3 ) * EXP( -rn_crhg * ( 1._wp - SUM( a_i(:,:,:), dim=3 ) ) ) |
---|
[15549] | 863 | ! |
---|
| 864 | CASE ( np_strcst ) !== Constant strength ==! |
---|
| 865 | strength(:,:) = rn_str |
---|
| 866 | ! |
---|
| 867 | END SELECT |
---|
| 868 | ! |
---|
| 869 | IF( ln_str_smooth ) THEN !--- Spatial smoothing |
---|
[13295] | 870 | DO_2D( 0, 0, 0, 0 ) |
---|
[14072] | 871 | IF ( SUM( a_i(ji,jj,:) ) > 0._wp ) THEN |
---|
[15549] | 872 | zworka(ji,jj) = ( 4._wp * strength(ji,jj) & |
---|
| 873 | & + strength(ji-1,jj) * tmask(ji-1,jj,1) + strength(ji+1,jj) * tmask(ji+1,jj,1) & |
---|
| 874 | & + strength(ji,jj-1) * tmask(ji,jj-1,1) + strength(ji,jj+1) * tmask(ji,jj+1,1) & |
---|
| 875 | & ) / ( 4._wp + tmask(ji-1,jj,1) + tmask(ji+1,jj,1) + tmask(ji,jj-1,1) + tmask(ji,jj+1,1) ) |
---|
[12377] | 876 | ELSE |
---|
| 877 | zworka(ji,jj) = 0._wp |
---|
| 878 | ENDIF |
---|
| 879 | END_2D |
---|
[14072] | 880 | |
---|
[13295] | 881 | DO_2D( 0, 0, 0, 0 ) |
---|
[12377] | 882 | strength(ji,jj) = zworka(ji,jj) |
---|
| 883 | END_2D |
---|
[13226] | 884 | CALL lbc_lnk( 'icedyn_rdgrft', strength, 'T', 1.0_wp ) |
---|
[8586] | 885 | ! |
---|
[15549] | 886 | ENDIF |
---|
[8586] | 887 | ! |
---|
| 888 | END SUBROUTINE ice_strength |
---|
| 889 | |
---|
[14072] | 890 | |
---|
[9452] | 891 | SUBROUTINE ice_dyn_1d2d( kn ) |
---|
| 892 | !!----------------------------------------------------------------------- |
---|
[14072] | 893 | !! *** ROUTINE ice_dyn_1d2d *** |
---|
| 894 | !! |
---|
[9452] | 895 | !! ** Purpose : move arrays from 1d to 2d and the reverse |
---|
| 896 | !!----------------------------------------------------------------------- |
---|
| 897 | INTEGER, INTENT(in) :: kn ! 1= from 2D to 1D ; 2= from 1D to 2D |
---|
| 898 | ! |
---|
| 899 | INTEGER :: jl, jk ! dummy loop indices |
---|
| 900 | !!----------------------------------------------------------------------- |
---|
| 901 | ! |
---|
| 902 | SELECT CASE( kn ) |
---|
| 903 | ! !---------------------! |
---|
| 904 | CASE( 1 ) !== from 2D to 1D ==! |
---|
| 905 | ! !---------------------! |
---|
| 906 | ! fields used but not modified |
---|
| 907 | CALL tab_2d_1d( npti, nptidx(1:npti), sss_1d(1:npti), sss_m(:,:) ) |
---|
| 908 | CALL tab_2d_1d( npti, nptidx(1:npti), sst_1d(1:npti), sst_m(:,:) ) |
---|
| 909 | ! the following fields are modified in this routine |
---|
| 910 | !!CALL tab_2d_1d( npti, nptidx(1:npti), ato_i_1d(1:npti), ato_i(:,:) ) |
---|
| 911 | !!CALL tab_3d_2d( npti, nptidx(1:npti), a_i_2d(1:npti,1:jpl), a_i(:,:,:) ) |
---|
| 912 | !!CALL tab_3d_2d( npti, nptidx(1:npti), v_i_2d (1:npti,1:jpl), v_i (:,:,:) ) |
---|
| 913 | CALL tab_3d_2d( npti, nptidx(1:npti), v_s_2d (1:npti,1:jpl), v_s (:,:,:) ) |
---|
| 914 | CALL tab_3d_2d( npti, nptidx(1:npti), sv_i_2d(1:npti,1:jpl), sv_i(:,:,:) ) |
---|
| 915 | CALL tab_3d_2d( npti, nptidx(1:npti), oa_i_2d(1:npti,1:jpl), oa_i(:,:,:) ) |
---|
| 916 | CALL tab_3d_2d( npti, nptidx(1:npti), a_ip_2d(1:npti,1:jpl), a_ip(:,:,:) ) |
---|
| 917 | CALL tab_3d_2d( npti, nptidx(1:npti), v_ip_2d(1:npti,1:jpl), v_ip(:,:,:) ) |
---|
[13472] | 918 | CALL tab_3d_2d( npti, nptidx(1:npti), v_il_2d(1:npti,1:jpl), v_il(:,:,:) ) |
---|
[9452] | 919 | DO jl = 1, jpl |
---|
| 920 | DO jk = 1, nlay_s |
---|
| 921 | CALL tab_2d_1d( npti, nptidx(1:npti), ze_s_2d(1:npti,jk,jl), e_s(:,:,jk,jl) ) |
---|
| 922 | END DO |
---|
| 923 | DO jk = 1, nlay_i |
---|
| 924 | CALL tab_2d_1d( npti, nptidx(1:npti), ze_i_2d(1:npti,jk,jl), e_i(:,:,jk,jl) ) |
---|
| 925 | END DO |
---|
| 926 | END DO |
---|
| 927 | CALL tab_2d_1d( npti, nptidx(1:npti), sfx_dyn_1d (1:npti), sfx_dyn (:,:) ) |
---|
| 928 | CALL tab_2d_1d( npti, nptidx(1:npti), sfx_bri_1d (1:npti), sfx_bri (:,:) ) |
---|
| 929 | CALL tab_2d_1d( npti, nptidx(1:npti), wfx_dyn_1d (1:npti), wfx_dyn (:,:) ) |
---|
| 930 | CALL tab_2d_1d( npti, nptidx(1:npti), hfx_dyn_1d (1:npti), hfx_dyn (:,:) ) |
---|
| 931 | CALL tab_2d_1d( npti, nptidx(1:npti), wfx_snw_dyn_1d(1:npti), wfx_snw_dyn(:,:) ) |
---|
[10511] | 932 | CALL tab_2d_1d( npti, nptidx(1:npti), wfx_pnd_1d (1:npti), wfx_pnd (:,:) ) |
---|
[10994] | 933 | ! |
---|
[9452] | 934 | ! !---------------------! |
---|
| 935 | CASE( 2 ) !== from 1D to 2D ==! |
---|
| 936 | ! !---------------------! |
---|
| 937 | CALL tab_1d_2d( npti, nptidx(1:npti), ato_i_1d(1:npti), ato_i(:,:) ) |
---|
| 938 | CALL tab_2d_3d( npti, nptidx(1:npti), a_i_2d (1:npti,1:jpl), a_i (:,:,:) ) |
---|
| 939 | CALL tab_2d_3d( npti, nptidx(1:npti), v_i_2d (1:npti,1:jpl), v_i (:,:,:) ) |
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| 940 | CALL tab_2d_3d( npti, nptidx(1:npti), v_s_2d (1:npti,1:jpl), v_s (:,:,:) ) |
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| 941 | CALL tab_2d_3d( npti, nptidx(1:npti), sv_i_2d(1:npti,1:jpl), sv_i(:,:,:) ) |
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| 942 | CALL tab_2d_3d( npti, nptidx(1:npti), oa_i_2d(1:npti,1:jpl), oa_i(:,:,:) ) |
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| 943 | CALL tab_2d_3d( npti, nptidx(1:npti), a_ip_2d(1:npti,1:jpl), a_ip(:,:,:) ) |
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| 944 | CALL tab_2d_3d( npti, nptidx(1:npti), v_ip_2d(1:npti,1:jpl), v_ip(:,:,:) ) |
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[13472] | 945 | CALL tab_2d_3d( npti, nptidx(1:npti), v_il_2d(1:npti,1:jpl), v_il(:,:,:) ) |
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[9452] | 946 | DO jl = 1, jpl |
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| 947 | DO jk = 1, nlay_s |
---|
| 948 | CALL tab_1d_2d( npti, nptidx(1:npti), ze_s_2d(1:npti,jk,jl), e_s(:,:,jk,jl) ) |
---|
| 949 | END DO |
---|
| 950 | DO jk = 1, nlay_i |
---|
| 951 | CALL tab_1d_2d( npti, nptidx(1:npti), ze_i_2d(1:npti,jk,jl), e_i(:,:,jk,jl) ) |
---|
| 952 | END DO |
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| 953 | END DO |
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| 954 | CALL tab_1d_2d( npti, nptidx(1:npti), sfx_dyn_1d (1:npti), sfx_dyn (:,:) ) |
---|
| 955 | CALL tab_1d_2d( npti, nptidx(1:npti), sfx_bri_1d (1:npti), sfx_bri (:,:) ) |
---|
| 956 | CALL tab_1d_2d( npti, nptidx(1:npti), wfx_dyn_1d (1:npti), wfx_dyn (:,:) ) |
---|
| 957 | CALL tab_1d_2d( npti, nptidx(1:npti), hfx_dyn_1d (1:npti), hfx_dyn (:,:) ) |
---|
| 958 | CALL tab_1d_2d( npti, nptidx(1:npti), wfx_snw_dyn_1d(1:npti), wfx_snw_dyn(:,:) ) |
---|
[10511] | 959 | CALL tab_1d_2d( npti, nptidx(1:npti), wfx_pnd_1d (1:npti), wfx_pnd (:,:) ) |
---|
[9452] | 960 | ! |
---|
| 961 | END SELECT |
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| 962 | ! |
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| 963 | END SUBROUTINE ice_dyn_1d2d |
---|
| 964 | |
---|
[14072] | 965 | |
---|
[8586] | 966 | SUBROUTINE ice_dyn_rdgrft_init |
---|
| 967 | !!------------------------------------------------------------------- |
---|
| 968 | !! *** ROUTINE ice_dyn_rdgrft_init *** |
---|
| 969 | !! |
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[14072] | 970 | !! ** Purpose : Physical constants and parameters linked |
---|
[8586] | 971 | !! to the mechanical ice redistribution |
---|
| 972 | !! |
---|
[14072] | 973 | !! ** Method : Read the namdyn_rdgrft namelist |
---|
| 974 | !! and check the parameters values |
---|
[8586] | 975 | !! called at the first timestep (nit000) |
---|
| 976 | !! |
---|
| 977 | !! ** input : Namelist namdyn_rdgrft |
---|
| 978 | !!------------------------------------------------------------------- |
---|
[15549] | 979 | INTEGER :: ios, ioptio ! Local integer output status for namelist read |
---|
[8586] | 980 | !! |
---|
[15549] | 981 | NAMELIST/namdyn_rdgrft/ ln_str_H79, rn_pstar, rn_crhg, ln_str_R75, rn_pe_rdg, ln_str_CST, rn_str, ln_str_smooth, & |
---|
| 982 | & ln_distf_lin, ln_distf_exp, rn_murdg, rn_csrdg, & |
---|
| 983 | & ln_partf_lin, rn_gstar, ln_partf_exp, rn_astar, & |
---|
[14072] | 984 | & ln_ridging, rn_hstar, rn_porordg, rn_fsnwrdg, rn_fpndrdg, & |
---|
[8586] | 985 | & ln_rafting, rn_hraft, rn_craft , rn_fsnwrft, rn_fpndrft |
---|
| 986 | !!------------------------------------------------------------------- |
---|
| 987 | ! |
---|
| 988 | READ ( numnam_ice_ref, namdyn_rdgrft, IOSTAT = ios, ERR = 901) |
---|
[11536] | 989 | 901 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namdyn_rdgrft in reference namelist' ) |
---|
[8586] | 990 | READ ( numnam_ice_cfg, namdyn_rdgrft, IOSTAT = ios, ERR = 902 ) |
---|
[11536] | 991 | 902 IF( ios > 0 ) CALL ctl_nam ( ios , 'namdyn_rdgrft in configuration namelist' ) |
---|
[8586] | 992 | IF(lwm) WRITE ( numoni, namdyn_rdgrft ) |
---|
| 993 | ! |
---|
| 994 | IF (lwp) THEN ! control print |
---|
| 995 | WRITE(numout,*) |
---|
| 996 | WRITE(numout,*) 'ice_dyn_rdgrft_init: ice parameters for ridging/rafting ' |
---|
| 997 | WRITE(numout,*) '~~~~~~~~~~~~~~~~~~' |
---|
| 998 | WRITE(numout,*) ' Namelist namdyn_rdgrft:' |
---|
[14072] | 999 | WRITE(numout,*) ' ice strength parameterization Hibler (1979) ln_str_H79 = ', ln_str_H79 |
---|
[8586] | 1000 | WRITE(numout,*) ' 1st bulk-rheology parameter rn_pstar = ', rn_pstar |
---|
| 1001 | WRITE(numout,*) ' 2nd bulk-rhelogy parameter rn_crhg = ', rn_crhg |
---|
[15549] | 1002 | WRITE(numout,*) ' ice strength parameterization Rothrock (1975) ln_str_R75 = ', ln_str_R75 |
---|
| 1003 | WRITE(numout,*) ' coef accounting for frictional dissipation rn_pe_rdg = ', rn_pe_rdg |
---|
| 1004 | WRITE(numout,*) ' ice strength parameterization Constant ln_str_CST = ', ln_str_CST |
---|
| 1005 | WRITE(numout,*) ' ice strength value rn_str = ', rn_str |
---|
| 1006 | WRITE(numout,*) ' spatial smoothing of the strength ln_str_smooth= ', ln_str_smooth |
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| 1007 | WRITE(numout,*) ' redistribution of ridged ice: linear (Hibler 1980) ln_distf_lin = ', ln_distf_lin |
---|
| 1008 | WRITE(numout,*) ' redistribution of ridged ice: exponential ln_distf_exp = ', ln_distf_exp |
---|
| 1009 | WRITE(numout,*) ' e-folding scale of ridged ice rn_murdg = ', rn_murdg |
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[14072] | 1010 | WRITE(numout,*) ' Fraction of shear energy contributing to ridging rn_csrdg = ', rn_csrdg |
---|
[8586] | 1011 | WRITE(numout,*) ' linear ridging participation function ln_partf_lin = ', ln_partf_lin |
---|
| 1012 | WRITE(numout,*) ' Fraction of ice coverage contributing to ridging rn_gstar = ', rn_gstar |
---|
| 1013 | WRITE(numout,*) ' Exponential ridging participation function ln_partf_exp = ', ln_partf_exp |
---|
| 1014 | WRITE(numout,*) ' Equivalent to G* for an exponential function rn_astar = ', rn_astar |
---|
| 1015 | WRITE(numout,*) ' Ridging of ice sheets or not ln_ridging = ', ln_ridging |
---|
| 1016 | WRITE(numout,*) ' max ridged ice thickness rn_hstar = ', rn_hstar |
---|
| 1017 | WRITE(numout,*) ' Initial porosity of ridges rn_porordg = ', rn_porordg |
---|
[14072] | 1018 | WRITE(numout,*) ' Fraction of snow volume conserved during ridging rn_fsnwrdg = ', rn_fsnwrdg |
---|
| 1019 | WRITE(numout,*) ' Fraction of pond volume conserved during ridging rn_fpndrdg = ', rn_fpndrdg |
---|
[8586] | 1020 | WRITE(numout,*) ' Rafting of ice sheets or not ln_rafting = ', ln_rafting |
---|
| 1021 | WRITE(numout,*) ' Parmeter thickness (threshold between ridge-raft) rn_hraft = ', rn_hraft |
---|
[14072] | 1022 | WRITE(numout,*) ' Rafting hyperbolic tangent coefficient rn_craft = ', rn_craft |
---|
| 1023 | WRITE(numout,*) ' Fraction of snow volume conserved during rafting rn_fsnwrft = ', rn_fsnwrft |
---|
| 1024 | WRITE(numout,*) ' Fraction of pond volume conserved during rafting rn_fpndrft = ', rn_fpndrft |
---|
[8586] | 1025 | ENDIF |
---|
| 1026 | ! |
---|
[15549] | 1027 | ioptio = 0 |
---|
| 1028 | IF( ln_str_H79 ) THEN ; ioptio = ioptio + 1 ; nice_str = np_strh79 ; ENDIF |
---|
| 1029 | IF( ln_str_R75 ) THEN ; ioptio = ioptio + 1 ; nice_str = np_strr75 ; ENDIF |
---|
| 1030 | IF( ln_str_CST ) THEN ; ioptio = ioptio + 1 ; nice_str = np_strcst ; ENDIF |
---|
| 1031 | IF( ioptio /= 1 ) CALL ctl_stop( 'ice_dyn_rdgrft_init: one and only one ice strength option has to be defined ' ) |
---|
| 1032 | ! |
---|
| 1033 | IF ( ( ln_distf_lin .AND. ln_distf_exp ) .OR. ( .NOT.ln_distf_lin .AND. .NOT.ln_distf_exp ) ) THEN |
---|
| 1034 | CALL ctl_stop( 'ice_dyn_rdgrft_init: choose one and only one redistribution function (ln_distf_lin or ln_distf_exp)' ) |
---|
| 1035 | ENDIF |
---|
| 1036 | !!clem |
---|
| 1037 | IF( ln_distf_exp ) CALL ctl_stop( 'ice_dyn_rdgrft_init: exponential redistribution function not coded yet (ln_distf_exp)' ) |
---|
| 1038 | ! |
---|
[8586] | 1039 | IF ( ( ln_partf_lin .AND. ln_partf_exp ) .OR. ( .NOT.ln_partf_lin .AND. .NOT.ln_partf_exp ) ) THEN |
---|
| 1040 | CALL ctl_stop( 'ice_dyn_rdgrft_init: choose one and only one participation function (ln_partf_lin or ln_partf_exp)' ) |
---|
| 1041 | ENDIF |
---|
[10945] | 1042 | ! |
---|
| 1043 | IF( .NOT. ln_icethd ) THEN |
---|
| 1044 | rn_porordg = 0._wp |
---|
| 1045 | rn_fsnwrdg = 1._wp ; rn_fsnwrft = 1._wp |
---|
| 1046 | rn_fpndrdg = 1._wp ; rn_fpndrft = 1._wp |
---|
| 1047 | IF( lwp ) THEN |
---|
| 1048 | WRITE(numout,*) ' ==> only ice dynamics is activated, thus some parameters must be changed' |
---|
| 1049 | WRITE(numout,*) ' rn_porordg = ', rn_porordg |
---|
[14072] | 1050 | WRITE(numout,*) ' rn_fsnwrdg = ', rn_fsnwrdg |
---|
| 1051 | WRITE(numout,*) ' rn_fpndrdg = ', rn_fpndrdg |
---|
| 1052 | WRITE(numout,*) ' rn_fsnwrft = ', rn_fsnwrft |
---|
| 1053 | WRITE(numout,*) ' rn_fpndrft = ', rn_fpndrft |
---|
[10945] | 1054 | ENDIF |
---|
| 1055 | ENDIF |
---|
| 1056 | ! ! allocate arrays |
---|
[8586] | 1057 | IF( ice_dyn_rdgrft_alloc() /= 0 ) CALL ctl_stop( 'STOP', 'ice_dyn_rdgrft_init: unable to allocate arrays' ) |
---|
| 1058 | ! |
---|
| 1059 | END SUBROUTINE ice_dyn_rdgrft_init |
---|
| 1060 | |
---|
| 1061 | #else |
---|
| 1062 | !!---------------------------------------------------------------------- |
---|
[9570] | 1063 | !! Default option Empty module NO SI3 sea-ice model |
---|
[8586] | 1064 | !!---------------------------------------------------------------------- |
---|
| 1065 | #endif |
---|
| 1066 | |
---|
| 1067 | !!====================================================================== |
---|
| 1068 | END MODULE icedyn_rdgrft |
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