Improved shock-capturing of Jameson's scheme for the Euler equations

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

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    Abstract

    It is known that Jameson's scheme is a pseudo-second-order-accurate scheme for solving discrete conservation laws. The scheme contains a non-linear artificial dissipative flux which is designed to capture shocks. In this paper, it is shown that the, shock-capturing of Jameson's scheme for the Euler equations can be improved by replacing the Lax-Friedrichs' type of dissipative flux with Roe's dissipative flux. This replacement is at a moderate expense of the calculation time.
    Original languageEnglish
    Pages (from-to)649-671
    JournalInternational journal for numerical methods in fluids
    Volume15
    Issue number6
    DOIs
    Publication statusPublished - 1992

    Keywords

    • Conservation laws
    • Runge-Kutta
    • Multigrid

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