A stable and conservative high order multi-block method for the compressible Navier-Stokes equations

Jan Nordström, Jing Gong, Edwin Theodorus Antonius van der Weide, Magnus Svärd

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    106 Citations (Scopus)

    Abstract

    A stable and conservative high order multi-block method for the time-dependent compressible Navier–Stokes equations has been developed. Stability and conservation are proved using summation-by-parts operators, weak interface conditions and the energy method. This development makes it possible to exploit the efficiency of the high order finite difference method for non-trivial geometries. The computational results corroborate the theoretical analysis.
    Original languageUndefined
    Pages (from-to)9020-9035
    JournalJournal of computational physics
    Volume228
    Issue number24
    DOIs
    Publication statusPublished - 2009

    Keywords

    • Stability
    • Finite difference
    • Conservation
    • High order
    • IR-80105
    • Navier–Stokes

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