A stable penalty method for the compressible Navier-Stokes equations: I. Open boundary conditions

Jan Hesthaven, D. Gottlieb

    Research output: Contribution to journalJournal articleResearch

    Abstract

    The purpose of this paper is to present asymptotically stable open boundary conditions for the numerical approximation of the compressible Navier-Stokes equations in three spatial dimensions. The treatment uses the conservation form of the Navier-Stokes equations and utilizes linearization and localization at the boundaries based on these variables.

    The proposed boundary conditions are applied through a penalty procedure, thus ensuring correct behavior of the scheme as the Reynolds number tends to infinity. The versatility of this method is demonstrated for the problem of a compressible now past a circular cylinder.
    Original languageEnglish
    JournalS I A M Journal on Scientific Computing
    Volume17
    Issue number3
    Pages (from-to)579-612
    ISSN1064-8275
    DOIs
    Publication statusPublished - 1996

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