A stable penalty method for the compressible Navier-Stokes equations: II: One-dimensional domain decomposition schemes

Jan Hesthaven

    Research output: Contribution to journalJournal articleResearch

    Abstract

    This paper presents asymptotically stable schemes for patching of nonoverlapping subdomains when approximating the compressible Navier-Stokes equations given on conservation form. The scheme is a natural extension of a previously proposed scheme for enforcing open boundary conditions and as a result the patching of subdomains is local in space. The scheme is studied in detail for Burgers's equation and developed for the compressible Navier-Stokes equations in general curvilinear coordinates.

    The versatility of the proposed scheme for the compressible Navier-Stokes equations is illustrated for quasi-one-dimensional transonic nozzle flows and for flows around an infinitely long circular cylinder.
    Original languageEnglish
    JournalS I A M Journal on Scientific Computing
    Volume18
    Issue number3
    Pages (from-to)658-685
    ISSN1064-8275
    DOIs
    Publication statusPublished - 1997

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