Iterative Brinkman penalization for simulation of impulsively started flow past a sphere and a circular disc

Henrik Juul Spietz, Mads Mølholm Hejlesen, Jens Honore Walther

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    Abstract

    We present a Brinkman penalization method for three-dimensional (3D) flows using particle vortex methods, improving the existing technique by means of an iterative process. We perform simulations to study the impulsively started flow past a sphere at Re=1000and normal to a circular disc at Re=500. The simulation results obtained for the flow past a sphere are found in qualitative good agreement with previously published results obtained using respectively a 3D vortex penalization method and a 3D vortex method combined with an accurate boundary element method. From the results obtained for the flow normal to a circular disc it is found that the iterative method enables the use of atime step that is one order of magnitude larger than required by the standard non-iterative Brinkman penalization method.
    Original languageEnglish
    JournalJournal of Computational Physics
    Volume336
    Pages (from-to)261–274
    ISSN0021-9991
    DOIs
    Publication statusPublished - 2017

    Keywords

    • Vortex method
    • Brinkman penalization
    • 3D flow
    • Sphere
    • Disc

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