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    A combined boundary integral and vortex method for the numerical study of three-dimensional fluid flow systems

    Access Status
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    Authors
    Khatir, Z.
    Lucey, Anthony
    Date
    2012
    Type
    Journal Article
    
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    Citation
    Khatir, Z. and Lucey, A.D. 2012. A combined boundary integral and vortex method for the numerical study of three-dimensional fluid flow systems. International Journal of Computer Mathematics. 89 (11): pp. 1504-1524.
    Source Title
    International Journal of Computer Mathematics
    DOI
    10.1080/00207160.2012.695354
    ISSN
    0020-7160
    URI
    http://hdl.handle.net/20.500.11937/17525
    Collection
    • Curtin Research Publications
    Abstract

    Vortex methods using vorticity–velocity formulations have become an increasingly powerful and popular means of studying complex fluid flow systems. The problem of combining an integral equation method and grid-free discrete vortex method (DVM) when studying three-dimensional wall-bounded flows is considered. While the normal boundary condition is satisfied by means of a boundary integral equation (BIE), we also consider the problem of recovering pressure from given vorticity and velocity fields when using Lagrangian DVMs in terms of a BIE. For validation purposes, vortical flow past a sphere and past a flat plate are considered, for which the commonly used method of images is available. Results of near-wall boundary-layer flow simulations are then presented as an illustration of the numerical scheme. The importance of hairpin vortices is highlighted. Finally, results on wall compliance fluid flow are displayed emphasizing the versatility of the numerical method.

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