Multigrid and defect correction for the steady Navier-Stokes equations

    Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review


    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
    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
    ISSN (Print)0179-9614


    Conferenceconference; Fourth GAMM-Seminar; 1988-01-22; 1988-01-24
    OtherFourth GAMM-Seminar


    Dive into the research topics of 'Multigrid and defect correction for the steady Navier-Stokes equations'. Together they form a unique fingerprint.

    Cite this