Revised Helmholtz Integral Equation for Bodies Sitting on an Infinite Plane

Vladimir SLADEK; Masataka TANAKA; Jan SLADEK

doi:10.11421/jsces.2000.20000039

Transactions of the Japan Society for Computational Engineering and Science

Online ISSN : 1347-8826
ISSN-L : 1344-9443

Revised Helmholtz Integral Equation for Bodies Sitting on an Infinite Plane

Vladimir SLADEK, Masataka TANAKA, Jan SLADEK

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Keywords: Acoustics, Boundary Element Method, Green’s function, Integral Equation, Free-term Coefficient

JOURNAL FREE ACCESS

2000 Volume 2000 Pages 20000039

DOI https://doi.org/10.11421/jsces.2000.20000039

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Abstract

This paper presents a revision of the free-term coefficient in the Helmholtz integral equation for solution of acoustic problems in a semi-infinite medium when an obstacle is sitting on an infinite plane. Both the integral representation of the velocity potential and the Helmholtz integral equation are re-derived with giving correct values for the free-term coefficient when the formulations utilizing either the half-space Green’s function or its approximation are employed.

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