On direction preserving discretizations for computing phase-space densities

Chappell, D.J. ORCID: 0000-0001-5819-0271, Richter, M. and Tanner, G., 2023. On direction preserving discretizations for computing phase-space densities. In: T. Simos and C. Tsitouras, eds., AIP Conference Proceedings: International Conference of Numerical Analysis and Applied Mathematics ICNAAM 2021, Rhodes, Greece, 20-26 September 2021. AIP Publishing. ISBN 9780735445895

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Ray flow methods provide efficient tools for modelling wave energy transport in complex systems at high-frequencies. We compare two Petrov-Galerkin discretizations of a phase-space boundary integral model for stationary wave energy densities in two-dimensional domains. The directional dependence is approximated using a finite set of directions oriented into the domain from the boundary. The propagation direction can be preserved across multi-component domains when the directions within the local set for a given region of the boundary are taken as a subset of a global direction set. In this work we compare the use of piecewise constant and piecewise linear test functions, which physically corresponds to the interpolation scheme used when the transport is in a direction not belonging to the finite global set.

Item Type: Chapter in book
Creators: Chappell, D.J., Richter, M. and Tanner, G.
Publisher: AIP Publishing
Date: 1 September 2023
Volume: 2849
ISBN: 9780735445895
Divisions: Schools > School of Science and Technology
Record created by: Jonathan Gallacher
Date Added: 27 Sep 2023 12:57
Last Modified: 27 Sep 2023 12:57
URI: https://irep.ntu.ac.uk/id/eprint/49823

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