Multigrid and Runge-Kutta time stepping applied to the uniformly non-oscillatory scheme for conservation laws

J.W. van der Burg, J.G.M. Kuerten, P.J. Zandbergen

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    Abstract

    It is known that Harten's uniformly non-oscillatory scheme is a second-order accurate scheme for discretizing coservation laws. In this paper a multigrid technique and Runge-Kutta time stepping with frozen dissipation is applied to Harten's scheme in order to obtain the steady-state solution. It is shown that these techniques applied to Harten's scheme lead to a better convergence to the steady-state solution of a first-order conservation law than applied to Jameson's scheme.
    Original languageEnglish
    Pages (from-to)243-263
    Number of pages21
    JournalJournal of engineering mathematics
    Volume25
    Issue number3
    DOIs
    Publication statusPublished - 1991

    Keywords

    • Mathematical modeling
    • Industrial mathematics
    • Good convergence
    • Accurate scheme
    • Scheme lead

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