Symbolic-numeric stability investigations of Jameson's scheme for this-layer Navier-Stokes equations

V.G. Ganzha, E.V. Vorozhtsov, J. Boers, J.A. van Hulzen, J.A. van Hulzen

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    Abstract

    The Navier-Stokes equations governing the three-dimensional flows of viscous, compressible, heat-conducting gas and augmented by turbulence modeling present the most realistic model for gas flows around the elements of aircraft configurations. We study the stability of one of the Jameson's schemes of 1981, which approximates the set of five Navier-Stokes equations completed by the turbulence model of Baldwin and Lomax. The analysis procedure implements the check-up of the necessary von Neumann stability criterion. It is shown with the aid of the proposed symbolic-numeric strategy that the physical viscosity terms in the Navier-Stokes equations have a dominant effect on the sizes of the stability region in comparison with the heat conduction terms. It turns out that the consideration of turbulence with the aid of eddy viscosity model of Baldwin and Lomax has an insignificant effect on the size of the necessary stability region.
    Original languageUndefined
    Title of host publicationInternational Symposium on Symbolic and Algebraic Computation '94
    Place of PublicationOxford, United Kingdom
    PublisherAssociation for Computing Machinery (ACM)
    Pages234-241
    ISBN (Print)0-89791-638-7
    DOIs
    Publication statusPublished - 20 Dec 1994

    Publication series

    Name
    PublisherACM

    Keywords

    • IR-101741
    • METIS-119305

    Cite this

    Ganzha, V. G., Vorozhtsov, E. V., Boers, J., van Hulzen, J. A., & van Hulzen, J. A. (1994). Symbolic-numeric stability investigations of Jameson's scheme for this-layer Navier-Stokes equations. In International Symposium on Symbolic and Algebraic Computation '94 (pp. 234-241). Oxford, United Kingdom: Association for Computing Machinery (ACM). https://doi.org/10.1145/190347.190422