Accessibility navigation


Towards high frequency boundary element methods for multiple scattering

Phillips, O., Langdon, S. and Chandler-Wilde, S. (2022) Towards high frequency boundary element methods for multiple scattering. In: Inter-noise 2022, 21-24 August 2022, Glasgow. (In Press)

[img]
Preview
Text - Accepted Version
· Please see our End User Agreement before downloading.

1MB

It is advisable to refer to the publisher's version if you intend to cite from this work. See Guidance on citing.

Abstract/Summary

Standard Boundary Element Methods (BEM) for time-harmonic acoustics, using piecewise polynomial finite-element type approximation spaces, have a computational cost that grows rapidly with frequency, to ensure at least a fixed number of degrees of freedom per wavelength. Hybrid Numerical-Asymptotic (HNA) BEMs, based on enriched approximation spaces consisting of the products of piecewise polynomials with carefully chosen oscillatory functions, have a computational cost that is almost frequency-independent for some problem classes, but the technology is largely undeveloped for problems where multiple scattering is important. In this paper we present a computational method, supported by mathematical analysis, which suggests that multiple scattering configurations may be within reach. Specifically, we propose an algorithm to solve, by a HNA BEM, scattering by a pair of screens in an arbitrary configuration, which we anticipate may serve as a building block towards general multiple scattering problems with computational cost independent of frequency. The specific configuration considered, as we discuss, is relevant to the simulation of multiple outdoor noise barriers.

Item Type:Conference or Workshop Item (Paper)
Refereed:No
Divisions:Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
ID Code:105536

Downloads

Downloads per month over past year

University Staff: Request a correction | Centaur Editors: Update this record

Page navigation