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    A Mass-Conserving Semi-Lagrangian Scheme for the Shallow-Water Equations

    Source: Monthly Weather Review:;1994:;volume( 122 ):;issue: 001::page 243
    Author:
    Gravel, Sylvie
    ,
    Staniforth, Andrew
    DOI: 10.1175/1520-0493(1994)122<0243:AMCSLS>2.0.CO;2
    Publisher: American Meteorological Society
    Abstract: By generalizing the algorithm of Priestley for passively advected fields, a mass-conserving scheme for the coupled shallow-water equations is obtained. It is argued that the interpolation step of semi-Lagrangian schemes is the principal reason for their lack of formal conservation. The corrections introduced by the proposed algorithm to achieve conservation appropriately reflect the localized nature of the interpolation errors that induce its violation.
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      A Mass-Conserving Semi-Lagrangian Scheme for the Shallow-Water Equations

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    https://yetl.yabesh.ir/yetl1/handle/yetl/4203214
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    contributor authorGravel, Sylvie
    contributor authorStaniforth, Andrew
    date accessioned2017-06-09T16:09:46Z
    date available2017-06-09T16:09:46Z
    date copyright1994/01/01
    date issued1994
    identifier issn0027-0644
    identifier otherams-62333.pdf
    identifier urihttp://onlinelibrary.yabesh.ir/handle/yetl/4203214
    description abstractBy generalizing the algorithm of Priestley for passively advected fields, a mass-conserving scheme for the coupled shallow-water equations is obtained. It is argued that the interpolation step of semi-Lagrangian schemes is the principal reason for their lack of formal conservation. The corrections introduced by the proposed algorithm to achieve conservation appropriately reflect the localized nature of the interpolation errors that induce its violation.
    publisherAmerican Meteorological Society
    titleA Mass-Conserving Semi-Lagrangian Scheme for the Shallow-Water Equations
    typeJournal Paper
    journal volume122
    journal issue1
    journal titleMonthly Weather Review
    identifier doi10.1175/1520-0493(1994)122<0243:AMCSLS>2.0.CO;2
    journal fristpage243
    journal lastpage248
    treeMonthly Weather Review:;1994:;volume( 122 ):;issue: 001
    contenttypeFulltext
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