Finite-volume discretizations and immersed boundaries

Y. Hassen, B. Koren

    Onderzoeksoutput: Hoofdstuk in Boek/Rapport/CongresprocedureHoofdstukAcademic

    2 Citaten (Scopus)
    1 Downloads (Pure)

    Samenvatting

    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.
    Originele taal-2Engels
    TitelAdvanced Computational Methods in Science and Engineering
    RedacteurenB. Koren, C. Vuik
    Plaats van productieBerlin
    UitgeverijSpringer
    Pagina's229-268
    ISBN van geprinte versie978-3-642-03343-8
    DOI's
    StatusGepubliceerd - 2010

    Publicatie series

    NaamLecture Notes in Computational Science and Engineering
    Volume71
    ISSN van geprinte versie1865-1348

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  • Citeer dit

    Hassen, Y., & Koren, B. (2010). Finite-volume discretizations and immersed boundaries. In B. Koren, & C. Vuik (editors), Advanced Computational Methods in Science and Engineering (blz. 229-268). (Lecture Notes in Computational Science and Engineering; Vol. 71). Springer. https://doi.org/10.1007/978-3-642-03344-5_8