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

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 ex...

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Main Authors: Wilkes, D., Duncan, Alec
Format: Journal Article
Published: Acoustical Society of America 2015
Online Access:http://hdl.handle.net/20.500.11937/28553
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author Wilkes, D.
Duncan, Alec
author_facet Wilkes, D.
Duncan, Alec
author_sort Wilkes, D.
building Curtin Institutional Repository
collection Online Access
description 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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institution Curtin University Malaysia
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last_indexed 2025-11-14T08:10:41Z
publishDate 2015
publisher Acoustical Society of America
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spelling curtin-20.500.11937-285532017-09-13T15:20:31Z Acoustic coupled fluid-structure interactions using a unified fast multipole boundary element method Wilkes, D. Duncan, Alec 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. 2015 Journal Article http://hdl.handle.net/20.500.11937/28553 10.1121/1.4916603 Acoustical Society of America restricted
spellingShingle Wilkes, D.
Duncan, Alec
Acoustic coupled fluid-structure interactions using a unified fast multipole boundary element method
title Acoustic coupled fluid-structure interactions using a unified fast multipole boundary element method
title_full Acoustic coupled fluid-structure interactions using a unified fast multipole boundary element method
title_fullStr Acoustic coupled fluid-structure interactions using a unified fast multipole boundary element method
title_full_unstemmed Acoustic coupled fluid-structure interactions using a unified fast multipole boundary element method
title_short Acoustic coupled fluid-structure interactions using a unified fast multipole boundary element method
title_sort acoustic coupled fluid-structure interactions using a unified fast multipole boundary element method
url http://hdl.handle.net/20.500.11937/28553