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    Non-negative intensity for coupled fluid-structure interaction problems using the fast multipole method

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    Authors
    Wilkes, D.
    Peters, H.
    Croaker, P.
    Marburg, S.
    Duncan, Alec
    Kessissoglou, N.
    Date
    2017
    Type
    Journal Article
    
    Metadata
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    Citation
    Wilkes, D. and Peters, H. and Croaker, P. and Marburg, S. and Duncan, A. and Kessissoglou, N. 2017. Non-negative intensity for coupled fluid-structure interaction problems using the fast multipole method. Journal of the Acoustical Society of America. 141 (6): pp. 4278-4288.
    Source Title
    Journal of the Acoustical Society of America
    DOI
    10.1121/1.4983686
    ISSN
    0001-4966
    School
    Centre for Marine Science and Technology
    URI
    http://hdl.handle.net/20.500.11937/55997
    Collection
    • Curtin Research Publications
    Abstract

    © 2017 Acoustical Society of America. The non-negative intensity (NNI) method is applied to large-scale coupled fluid-structure interaction (FSI) problems using the fast multipole boundary element method (FMBEM). The NNI provides a field on the radiating structure surface that consists of positive-only contributions to the radiated sound power, thus avoiding the near-field cancellation effects that otherwise occur with the sound intensity field. Thus far the NNI has been implemented with the boundary element method (BEM) for relatively small problem sizes to allow for the full BEM coefficient and inverse matrices to be explicitly constructed and stored. In this work, the FMBEM is adapted to the NNI by calculating the eigenvalue solution of the symmetric acoustic impedance matrix using the FMBEM via a two-stage solution method. The FMBEM implementation of the NNI is demonstrated for a largescale model of a submerged cylindrical shell. The coupled FSI problem is first solved using a finite element-FMBEM model and the resulting surface fields are then used in the FMBEM calculation of the NNI. An equivalent reactive NNI field representing the evanescent near-field radiation is demonstrated and the effect of the chosen number eigenvectors on the NNI field is investigated.

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