Chappell, DJ ORCID: https://orcid.org/0000-0001-5819-0271, Richter, M and Tanner, G, 2023. On direction preserving discretizations for computing phase-space densities. In: Simos, T and Tsitouras, C, 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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Abstract
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 |
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Creators: | Chappell, D.J., Richter, M. and Tanner, G. |
Publisher: | AIP Publishing |
Date: | 1 September 2023 |
Volume: | 2849 |
ISBN: | 9780735445895 |
Identifiers: | Number Type 10.1063/5.0162265 DOI 1808858 Other |
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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