A modified SOR method for the Poisson equation in unsteady free-surface flow calculations.

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    Abstract

    Convergence difficulties that sometimes occur if the successive overrelaxation (SOR) method is applied to the Poisson equation on a region with irregular free boundaries are analyzed. It is shown that these difficulties are related to the treatment of the free boundaries and caused by the appearance of complex eigenvalues in the system of discrete equations, when standard centered differences are used. After a modification of this system of equations such that the complex eigenvalues become small, a modified SOR method is presented where two relaxation factors are used alternately. The method leads to fast convergence without requiring specific information about the complex eigenvalues.
    Original languageEnglish
    Pages (from-to)119-134
    JournalJournal of computational physics
    Volume60
    Issue number1
    DOIs
    Publication statusPublished - 1985

    Keywords

    • METIS-311429

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