Multigrid acceleration of time-accurate DNS of compressible turbulens flow

Jan Broeze, Bernard Geurts, Hans Kuerten, Martin Streng

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    Abstract

    An efficient scheme for the direct numerical simulation of 3D transitional and developed turbulent flow is presented. Explicit and implicit time integration schemes for the compressible Navier-Stokes equations are compared. The nonlinear system resulting from the implicit time discretization is solved with an iterative method and accelerated by the application of a multigrid technique. Since we use central spatial discretizations and no artificial dissipation is added to the equations, the smoothing method is less effective than in the more traditional use of multigrid in steady-state calculations. Therefore, a special prolongation method is needed in order to obtain an effective multigrid method.
    This simulation scheme was studied in detail for compressible flow over a flat plate. In the laminar regime and in the first stages of turbulent flow the implicit method provides a speed-up of a factor 2 relative to the explicit method on a relatively coarse grid. At increased resolution this speed-up is enhanced correspondingly.
    Original languageEnglish
    Title of host publicationSeventh Copper Mountain Conference on Multigrid Methods
    Subtitle of host publicationProceedings of a workshop [...] Copper Mountain, Colorado April 2-7, 1995
    EditorsN. Duane Melson, Tom A. Manteuffel, Steve F. McCormick, Craig C. Douglas
    Place of PublicationWashington, DC
    PublisherNational Aeronautics and Space Administration (NASA)
    Pages109-121
    Publication statusPublished - 1995
    Event7th Copper Mountain Conference on Multigrid Methods 1995 - Copper Mountain, United States
    Duration: 2 Apr 19957 Apr 1995
    Conference number: 7

    Publication series

    NameNASA Conference Publication
    PublisherNASA
    Volume3339

    Conference

    Conference7th Copper Mountain Conference on Multigrid Methods 1995
    CountryUnited States
    CityCopper Mountain
    Period2/04/957/04/95

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