A GWBEM method for high frequency acoustic scattering

This paper considers the problem of scattering of a time-harmonic acoustic incident wave by a hard obstacle. The numerical solution to this problem is found using a Galerkin Wave Boundary Element Method (GWBEM) whereby the functional space is built as the product of conventional low order piecewise...

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Bibliographic Details
Published in:The Journal of the Acoustical Society of America 2008-05, Vol.123 (5_Supplement), p.3419-3419
Main Authors: Perrey-Debain, Emmanuel, Bériot, Hadrien, Ben Tahar, Mabrouk, Vayssade, Catherine
Format: Article
Language:English
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Summary:This paper considers the problem of scattering of a time-harmonic acoustic incident wave by a hard obstacle. The numerical solution to this problem is found using a Galerkin Wave Boundary Element Method (GWBEM) whereby the functional space is built as the product of conventional low order piecewise polynomials with a set of plane waves propagating in various directions. In this work we present strategies for finding the appropriate plane wave basis locally on each boundary element in order to deal efficiently with very irregularly meshed structures exhibiting both large smooth scattering surfaces as well as corners and small geometrical features. Numerical results clearly demonstrate that these improvements allow the handling of scatterers with complicated geometries while maintaining a low discretization level of 2.5 to 3 degrees of freedom per full wavelength.
ISSN:0001-4966
1520-8524
DOI:10.1121/1.2934162