An improved front tracking method for the Euler equations

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    Abstract

    An improved front tracking method for hyperbolic conservation laws is presented. The improved method accurately resolves discontinuities as well as continuous phenomena. The method is based on an improved front interaction model for a physically more accurate modeling of the Euler equations, as compared to standard front tracking methods. The resulting algorithm is also more efficient than existing front tracking methods. The improved front tracking method is applied to the Euler equations for one-dimensional unsteady flow and two-dimensional steady supersonic flow. The results are compared to results of a standard front tracking method and a finite volume method.
    Original languageEnglish
    Pages (from-to)712-728
    JournalJournal of Computational Physics
    Volume224
    Issue number2
    DOIs
    Publication statusPublished - 2007

    Keywords

    • Front tracking
    • Euler equations
    • Gas dynamics
    • Hyperbolic conservation laws

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