A Half-Space Boundary Element Method for Acoustic Problems With a Reflecting Plane of Arbitrary Impedance

In this paper, the boundary element method (BEM) is used to model acoustic radiation and scattering from bodies of arbitrary shape in close proximity of an infinite plane that has a general impedance boundary condition. A new half-space Green's function for positive reactance boundary condition...

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Bibliographic Details
Published in:Journal of sound and vibration 1994-03, Vol.171 (2), p.173-184
Main Authors: Li, W.L., Wu, T.W., Seybert, A.F.
Format: Article
Language:English
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Summary:In this paper, the boundary element method (BEM) is used to model acoustic radiation and scattering from bodies of arbitrary shape in close proximity of an infinite plane that has a general impedance boundary condition. A new half-space Green's function for positive reactance boundary conditions is derived and incorporated in the boundary element formulation so that there is no need to model the infinite plane. Attempt is also made to derive the Green's function for negative reactance boundary conditions. However, the derived Green's function for negative reactance boundary conditions contains a term that is not known a priori. Only an approximate Green's function for negative reactance boundary conditions is used in the BEM. Several numerical examples are given to verify this new formulation.
ISSN:0022-460X
1095-8568
DOI:10.1006/jsvi.1994.1112