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    Comparison of Grids and Difference Approximations for Numerical Weather Prediction Over a Sphere

    Source: Journal of Applied Meteorology:;1973:;volume( 012 ):;issue: 002::page 264
    Author:
    Williamson, David L.
    ,
    Browning, Gerald L.
    DOI: 10.1175/1520-0450(1973)012<0264:COGADA>2.0.CO;2
    Publisher: American Meteorological Society
    Abstract: The accuracy of finite-diffrerence approximations to the shallow water equations on a sphere is examined for flow cases having an analytic solution. Approximations over grids with the longitudinal grid increment (??) increasing near the poles such that the distance between grid points is nearly constant have large errors near the poles. These large polar errors are caused by the large longitudinal grid increment used in the approximations and are reduced by using a grid with ?? constant. The normally severe limit on the time step caused by the small distance between grid points near the pole can be relaxed by removing the short-wave-length, fast-moving waves by Fourier analysis. With our test case, which contains only large scales, this filtering method produced a solution which is almost identical to that obtained over the uniform grid using a small time step. In comparing second- and fourth-order schemes applied to the above test case, we find that the fourth-order schemes offer more improvement per computer time than second-order Themes with mesh reduction.
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      Comparison of Grids and Difference Approximations for Numerical Weather Prediction Over a Sphere

    URI
    http://yetl.yabesh.ir/yetl1/handle/yetl/4228478
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    • Journal of Applied Meteorology

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    contributor authorWilliamson, David L.
    contributor authorBrowning, Gerald L.
    date accessioned2017-06-09T17:25:42Z
    date available2017-06-09T17:25:42Z
    date copyright1973/03/01
    date issued1973
    identifier issn0021-8952
    identifier otherams-8507.pdf
    identifier urihttp://onlinelibrary.yabesh.ir/handle/yetl/4228478
    description abstractThe accuracy of finite-diffrerence approximations to the shallow water equations on a sphere is examined for flow cases having an analytic solution. Approximations over grids with the longitudinal grid increment (??) increasing near the poles such that the distance between grid points is nearly constant have large errors near the poles. These large polar errors are caused by the large longitudinal grid increment used in the approximations and are reduced by using a grid with ?? constant. The normally severe limit on the time step caused by the small distance between grid points near the pole can be relaxed by removing the short-wave-length, fast-moving waves by Fourier analysis. With our test case, which contains only large scales, this filtering method produced a solution which is almost identical to that obtained over the uniform grid using a small time step. In comparing second- and fourth-order schemes applied to the above test case, we find that the fourth-order schemes offer more improvement per computer time than second-order Themes with mesh reduction.
    publisherAmerican Meteorological Society
    titleComparison of Grids and Difference Approximations for Numerical Weather Prediction Over a Sphere
    typeJournal Paper
    journal volume12
    journal issue2
    journal titleJournal of Applied Meteorology
    identifier doi10.1175/1520-0450(1973)012<0264:COGADA>2.0.CO;2
    journal fristpage264
    journal lastpage274
    treeJournal of Applied Meteorology:;1973:;volume( 012 ):;issue: 002
    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
    yabeshDSpacePersian