Solution of the steady Euler equations by a multigrid method

B. Koren, S.P. Spekreijse

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    Abstract

    An efficient multigrid method to obtain second-order accurate solutions of the 2D steady Euler equations is described and results are shown. The method is based on a nonlinear multigrid (FAS-) iteration method and on a defect correction principle. Both first- and second-order accurate finite volume upwind discretizations are considered. In the second-order discretization a limiter is used. The method does not require any tuning of parameters. Flow solutions are presented for a channel and an airfoil. The solutions show good resolution of all flow phenomena and are obtained at low computational cost.
    Original languageEnglish
    Title of host publicationMultigrid Methods: Theory, Applications, and Supercomputing (Third Cooper Mountain Conference on Multigrid Methods, Cooper Mountain, Colorado, USA, April 5-10, 1987)
    EditorsS.F. McCormick
    Place of PublicationNew York
    PublisherMarcel Dekker Inc.
    Pages323-336
    ISBN (Print)0-8247-7979-7
    Publication statusPublished - 1988

    Publication series

    NameLecture Notes in Pure and Applied Mathematics
    Volume110
    ISSN (Print)0075-8469

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