Multigrid and defect correction for the steady Navier-Stokes equations

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    Abstract

    Theoretical and experimental convergence results are presented for multigrid and iterative defect correction applied to finite volume discretizations of the steady, 2D, compressible Navier-Stokes equations. Iterative defect correction is introduced for circumventing the difficulty in finding a solution of discretized equations with a second- or higher-order accurate convective part. As a smoothing technique, use is made of point Gauss-Seidel relaxation with, inside the latter, Newton iteration as a basic solution method. The multigrid technique appears to be very efficient for smooth as well as non-smooth problems. Iterative defect correction appears to be very efficient for smooth problems only, though still reasonably efficient for non-smooth problems.
    Original languageEnglish
    Title of host publicationProceedings of the 4th GAMM-Seminar on Robust Multi-Grid Methods, 22-24 January 1988, University of Kiel, Germany
    EditorsW. Hackbusch
    Place of PublicationBraunschweig/Wiesbaden
    PublisherVieweg
    Pages161-177
    Publication statusPublished - 1989
    Eventconference; Fourth GAMM-Seminar; 1988-01-22; 1988-01-24 -
    Duration: 22 Jan 198824 Jan 1988

    Publication series

    NameNotes on Numerical Fluid Mechanics
    Volume23
    ISSN (Print)0179-9614

    Conference

    Conferenceconference; Fourth GAMM-Seminar; 1988-01-22; 1988-01-24
    Period22/01/8824/01/88
    OtherFourth GAMM-Seminar

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