The unified transform: A spectral collocation method for acoustic scattering
Accepted version
Peer-reviewed
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Authors
Ayton, LJ
Colbrook, MJ
Fokas, AS
Abstract
This paper employs the unified transform to present a boundary-based spectral collocation method suitable for solving acoustic scattering problems. The method is suitable for both interior and exterior scattering problems, and may be extended to three dimensions. A number of simple two-dimensional examples are presented to illustrate the versatility of this method, and, upon comparison with other spectral methods, or boundary-based methods the approach presented in this paper is shown to be very competitive.
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Journal Title
25th AIAA/CEAS Aeroacoustics Conference, 2019
Conference Name
25th AIAA/CEAS Aeroacoustics Conference
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Publisher
American Institute of Aeronautics and Astronautics
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All rights reserved
Sponsorship
Engineering and Physical Sciences Research Council (EP/P015980/1)
EPSRC (1804238)
Engineering and Physical Sciences Research Council (EP/N006593/1)
EPSRC (1804238)
Engineering and Physical Sciences Research Council (EP/N006593/1)