Abstract
We consider the diffraction of a planar acoustic wave in a 2D sector with the central angle \({{2\pi } \mathord{\left/ {\vphantom {{2\pi } n}} \right. \kern-0em} n}\), \(n \in \mathbb{N}\). If \(n\) is even, then the solution of this problem is straightforward by the reflection method. For odd \(n\), we present an efficient algorithm to evaluate the time-domain solution of this problem. We use this solution with \(n = 1\) and \(n = 3\) to study the accuracy of the discontinuous Galerkin method applied to the acoustical system in a domain with corners.
Notes
There is a typo in expression (108) in this paper, should be n2 = (π – θ + θ')/(2α).
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ACKNOWLEDGMENTS
The author thanks M. D. Surnachev who read the manuscript and suggested several improvements.
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Bakhvalov, P.A. Efficient Evaluation of the Solution for the Planar Wave Diffraction in a 2D Sector. Acoust. Phys. 69, 415–419 (2023). https://doi.org/10.1134/S1063771023600201
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DOI: https://doi.org/10.1134/S1063771023600201