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    An Unconditionally Stable Scheme for the Shallow Water Equations

    Source: Monthly Weather Review:;2000:;volume( 128 ):;issue: 003::page 810
    Author:
    Israeli, Moshe
    ,
    Naik, Naomi H.
    ,
    Cane, Mark A.
    DOI: 10.1175/1520-0493(2000)128<0810:AUSSFT>2.0.CO;2
    Publisher: American Meteorological Society
    Abstract: A finite-difference scheme for solving the linear shallow water equations in a bounded domain is described. Its time step is not restricted by a Courant?Friedrichs?Levy (CFL) condition. The scheme, known as Israeli?Naik?Cane (INC), is the offspring of semi-Lagrangian (SL) schemes and the Cane?Patton (CP) algorithm. In common with the latter it treats the shallow water equations implicitly in y and with attention to wave propagation in x. Unlike CP, it uses an SL-like approach to the zonal variations, which allows the scheme to apply to the full primitive equations. The great advantage, even in problems where quasigeostrophic dynamics are appropriate in the interior, is that the INC scheme accommodates complete boundary conditions.
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      An Unconditionally Stable Scheme for the Shallow Water Equations

    URI
    http://yetl.yabesh.ir/yetl1/handle/yetl/4204474
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    • Monthly Weather Review

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    contributor authorIsraeli, Moshe
    contributor authorNaik, Naomi H.
    contributor authorCane, Mark A.
    date accessioned2017-06-09T16:12:56Z
    date available2017-06-09T16:12:56Z
    date copyright2000/03/01
    date issued2000
    identifier issn0027-0644
    identifier otherams-63468.pdf
    identifier urihttp://onlinelibrary.yabesh.ir/handle/yetl/4204474
    description abstractA finite-difference scheme for solving the linear shallow water equations in a bounded domain is described. Its time step is not restricted by a Courant?Friedrichs?Levy (CFL) condition. The scheme, known as Israeli?Naik?Cane (INC), is the offspring of semi-Lagrangian (SL) schemes and the Cane?Patton (CP) algorithm. In common with the latter it treats the shallow water equations implicitly in y and with attention to wave propagation in x. Unlike CP, it uses an SL-like approach to the zonal variations, which allows the scheme to apply to the full primitive equations. The great advantage, even in problems where quasigeostrophic dynamics are appropriate in the interior, is that the INC scheme accommodates complete boundary conditions.
    publisherAmerican Meteorological Society
    titleAn Unconditionally Stable Scheme for the Shallow Water Equations
    typeJournal Paper
    journal volume128
    journal issue3
    journal titleMonthly Weather Review
    identifier doi10.1175/1520-0493(2000)128<0810:AUSSFT>2.0.CO;2
    journal fristpage810
    journal lastpage823
    treeMonthly Weather Review:;2000:;volume( 128 ):;issue: 003
    contenttypeFulltext
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