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    Acoustic coupled fluid-structure interactions using a unified fast multipole boundary element method

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    Authors
    Wilkes, D.
    Duncan, Alec
    Date
    2015
    Type
    Journal Article
    
    Metadata
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    Citation
    Wilkes, D. and Duncan, A. 2015. Acoustic coupled fluid-structure interactions using a unified fast multipole boundary element method. Journal of the Acoustical Society of America. 137 (4): pp. 2158-2167.
    Source Title
    Journal of the Acoustical Society of America
    DOI
    10.1121/1.4916603
    ISSN
    0001-4966
    School
    Centre for Marine Science and Technology
    URI
    http://hdl.handle.net/20.500.11937/28553
    Collection
    • Curtin Research Publications
    Abstract

    This paper presents a numerical model for the acoustic coupled fluid-structure interaction (FSI) of a submerged finite elastic body using the fast multipole boundary element method (FMBEM). The Helmholtz and elastodynamic boundary integral equations (BIEs) are, respectively, employed to model the exterior fluid and interior solid domains, and the pressure and displacement unknowns are coupled between conforming meshes at the shared boundary interface to achieve the acoustic FSI. The low frequency FMBEM is applied to both BIEs to reduce the algorithmic complexity of the iterative solution from O (N 2) to O (N 1.5) operations per matrix-vector product for N boundary unknowns. Numerical examples are presented to demonstrate the algorithmic and memory complexity of the method, which are shown to be in good agreement with the theoretical estimates, while the solution accuracy is comparable to that achieved by a conventional finite element-boundary element FSI model.

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