Finite-volume discretizations and immersed boundaries

Y. Hassen, B. Koren

    Research output: Chapter in Book/Report/Conference proceedingChapterAcademic

    2 Citations (Scopus)
    1 Downloads (Pure)


    In this chapter, an accurate method, using a novel immersed-boundary approach, is presented for numerically solving linear, scalar convection problems. As is standard in immersed-boundary methods, moving bodies are embedded in a fixed Cartesian grid. The essence of the present method is that specific fluxes in the vicinity of a moving body are computed in such a way that they accurately accommodate the boundary conditions valid on themoving body. To suppress wiggles, tailor-made limiters are introduced for these special fluxes. The first results obtained are very accurate, without requiring much computational overhead. It is anticipated that the method can readily be extended to real fluid-flow equations.
    Original languageEnglish
    Title of host publicationAdvanced Computational Methods in Science and Engineering
    EditorsB. Koren, C. Vuik
    Place of PublicationBerlin
    ISBN (Print)978-3-642-03343-8
    Publication statusPublished - 2010

    Publication series

    NameLecture Notes in Computational Science and Engineering
    ISSN (Print)1865-1348


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