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    A Two-Step Scheme for the Advection Equation with Minimized Dissipation and Dispersion Errors

    Source: Monthly Weather Review:;1985:;volume( 113 ):;issue: 006::page 1050
    Author:
    Takacs, Lawrence L.
    DOI: 10.1175/1520-0493(1985)113<1050:ATSSFT>2.0.CO;2
    Publisher: American Meteorological Society
    Abstract: A two-step advection scheme of the Lax-Wendroff type is derived which has accuracy and phase characteristics similar to that of a third-order scheme. The scheme is exactly third-order accurate in time and space for uniform flow. The new scheme is compared with other currently used methods, and is shown to simulate well the advection of localized disturbances with steep gradients. The scheme is derived for constant flow and generalized to two-dimensional nonuniform flow.
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      A Two-Step Scheme for the Advection Equation with Minimized Dissipation and Dispersion Errors

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    http://yetl.yabesh.ir/yetl1/handle/yetl/4201348
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    contributor authorTakacs, Lawrence L.
    date accessioned2017-06-09T16:05:21Z
    date available2017-06-09T16:05:21Z
    date copyright1985/06/01
    date issued1985
    identifier issn0027-0644
    identifier otherams-60654.pdf
    identifier urihttp://onlinelibrary.yabesh.ir/handle/yetl/4201348
    description abstractA two-step advection scheme of the Lax-Wendroff type is derived which has accuracy and phase characteristics similar to that of a third-order scheme. The scheme is exactly third-order accurate in time and space for uniform flow. The new scheme is compared with other currently used methods, and is shown to simulate well the advection of localized disturbances with steep gradients. The scheme is derived for constant flow and generalized to two-dimensional nonuniform flow.
    publisherAmerican Meteorological Society
    titleA Two-Step Scheme for the Advection Equation with Minimized Dissipation and Dispersion Errors
    typeJournal Paper
    journal volume113
    journal issue6
    journal titleMonthly Weather Review
    identifier doi10.1175/1520-0493(1985)113<1050:ATSSFT>2.0.CO;2
    journal fristpage1050
    journal lastpage1065
    treeMonthly Weather Review:;1985:;volume( 113 ):;issue: 006
    contenttypeFulltext
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