A direction preserving discretization for computing phase-space densities

Chappell, D. ORCID: 0000-0001-5819-0271, Crofts, J.J. ORCID: 0000-0001-7751-9984, Richter, M. and Tanner, G., 2021. A direction preserving discretization for computing phase-space densities. SIAM Journal on Scientific Computing, 43 (4), B884-B906. ISSN 1064-8275

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Abstract

Ray flow methods are an efficient tool to estimate vibro-acoustic or electromagnetic energy transport in complex domains at high-frequencies. Here, a Petrov--Galerkin discretization of a phase-space boundary integral equation for transporting wave energy densities on two-dimensional surfaces is proposed. The directional dependence of the energy density is approximated at each point on the boundary in terms of a finite local set of directions propagating into the domain. The direction of propagation can be preserved for transport across multicomponent domains when the directions within the local set are inherited from a global direction set. The range of applicability and computational cost of the method will be explored through a series of numerical experiments, including wave problems from both acoustics and elasticity in both single and multicomponent domains. The domain geometries considered range from both regular and irregular polygons to curved surfaces, including a cast aluminium shock tower from a Range Rover car.

Item Type: Journal article
Publication Title: SIAM Journal on Scientific Computing
Creators: Chappell, D., Crofts, J.J., Richter, M. and Tanner, G.
Publisher: Society for Industrial & Applied Mathematics (SIAM)
Date: 13 July 2021
Volume: 43
Number: 4
ISSN: 1064-8275
Identifiers:
NumberType
10.1137/20m1352041DOI
1451929Other
Rights: © 2021, Society for Industrial and Applied Mathematics. Chappell, D., Crofts, J. J., Richter, M., & Tanner, G. (2021). A direction preserving discretization for computing phase-space densities. SIAM Journal on Scientific Computing, 43(4), B884-B906. https://doi.org/10.1137/20m1352041.
Divisions: Schools > School of Science and Technology
Record created by: Linda Sullivan
Date Added: 07 Oct 2021 13:29
Last Modified: 07 Oct 2021 13:29
URI: http://irep.ntu.ac.uk/id/eprint/44346

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