A Non-Singular Boundary Element Method for Interactions Between Acoustical Field Sources and Structures
Year: 2023
Author: Qiang Sun
Advances in Applied Mathematics and Mechanics, Vol. 15 (2023), Iss. 4 : pp. 831–851
Abstract
Localized point sources (monopoles) in an acoustical domain are implemented to a three dimensional non-singular Helmholtz boundary element method in the frequency domain. It allows for the straightforward use of higher order surface elements on the boundaries of the problem. It will been shown that the effect of the monopole sources ends up on the right hand side of the resulting matrix system. Some carefully selected examples are studied, such as point sources near and within a concentric spherical core-shell scatterer (with theoretical verification), near a curved focusing surface and near a multi-scale and multi-domain acoustic lens.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.OA-2022-0024
Advances in Applied Mathematics and Mechanics, Vol. 15 (2023), Iss. 4 : pp. 831–851
Published online: 2023-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 21
Keywords: Acoustic monopoles acoustic lens boundary integral method quadratic elements.
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