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International Journal for Multiscale Computational Engineering
インパクトファクター: 1.016 5年インパクトファクター: 1.194 SJR: 0.554 SNIP: 0.68 CiteScore™: 1.18

ISSN 印刷: 1543-1649
ISSN オンライン: 1940-4352

International Journal for Multiscale Computational Engineering

DOI: 10.1615/IntJMultCompEng.v6.i6.30
pages 533-548

A Fictitious Source Method for a Multifrequency Acoustic Source over Ground with Given Impedance

Ido Gur
Department of Aerospace Engineering, Technion—Israel Institute of Technology, Haifa 32000, Israel
Dan Givoli
Department of Aerospace Engineering, Technion−Israel Institute of Technology, Haifa 32000, Israel; Faculty of Civil Engineering & Geosciences, Technical University of Delft, 2600 GA Delft, The Netherlands

要約

Linear multifrequency acoustics problems in the atmospheric half-space, over flat ground with given impedance, occur in various applications, for example, in environmental engineering, where the analysis of the sound pressure level (SPL) distribution near the ground due to aircraft noise is desired. Since the human hearing range is very wide, the determination of the SPL distribution for a given source spectrum is not trivial and may be regarded as a multi-scale problem. To this end, one has to solve repeatedly, for many different wave numbers, the Helmholtz equation in the upper half-space, while imposing the given impedance boundary condition. A simple computational scheme, based on the use of fictitious sources, is devised for the efficient solution of these problems, leading to an effective SPL calculation. The computational aspects of the method are discussed, and its performance is demonstrated via numerical examples.

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