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    The Dynamics of Finite-Difference Models of the Shallow-Water Equations

    Source: Journal of the Atmospheric Sciences:;1975:;Volume( 032 ):;issue: 004::page 680
    Author:
    Sadourny, Robert
    DOI: 10.1175/1520-0469(1975)032<0680:TDOFDM>2.0.CO;2
    Publisher: American Meteorological Society
    Abstract: Two simple numerical models of the shallow-water equations identical in all respects but for their con-servation properties have been tested regarding their internal mixing processes. The experiments show that violation of enstrophy conservation results in a spurious accumulation of rotational energy in the smaller scales, reflected by an unrealistic increase of enstrophy, which ultimately produces a finite rate of energy dissipation in the zero viscosity limit, thus violating the well-known dynamics of two-dimensional flow. Further, the experiments show a tendency to equipartition of the kinetic energy of the divergent part of the flow in the inviscid limit, suggesting the possibility of a divergent energy cascade in the physical system, as well as a possible influence of the energy mixing on the process of adjustment toward balanced flow.
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      The Dynamics of Finite-Difference Models of the Shallow-Water Equations

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    http://yetl.yabesh.ir/yetl1/handle/yetl/4152601
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    contributor authorSadourny, Robert
    date accessioned2017-06-09T14:18:02Z
    date available2017-06-09T14:18:02Z
    date copyright1975/04/01
    date issued1975
    identifier issn0022-4928
    identifier otherams-16780.pdf
    identifier urihttp://onlinelibrary.yabesh.ir/handle/yetl/4152601
    description abstractTwo simple numerical models of the shallow-water equations identical in all respects but for their con-servation properties have been tested regarding their internal mixing processes. The experiments show that violation of enstrophy conservation results in a spurious accumulation of rotational energy in the smaller scales, reflected by an unrealistic increase of enstrophy, which ultimately produces a finite rate of energy dissipation in the zero viscosity limit, thus violating the well-known dynamics of two-dimensional flow. Further, the experiments show a tendency to equipartition of the kinetic energy of the divergent part of the flow in the inviscid limit, suggesting the possibility of a divergent energy cascade in the physical system, as well as a possible influence of the energy mixing on the process of adjustment toward balanced flow.
    publisherAmerican Meteorological Society
    titleThe Dynamics of Finite-Difference Models of the Shallow-Water Equations
    typeJournal Paper
    journal volume32
    journal issue4
    journal titleJournal of the Atmospheric Sciences
    identifier doi10.1175/1520-0469(1975)032<0680:TDOFDM>2.0.CO;2
    journal fristpage680
    journal lastpage689
    treeJournal of the Atmospheric Sciences:;1975:;Volume( 032 ):;issue: 004
    contenttypeFulltext
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    DSpace software copyright © 2002-2015  DuraSpace
    نرم افزار کتابخانه دیجیتال "دی اسپیس" فارسی شده توسط یابش برای کتابخانه های ایرانی | تماس با یابش
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