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Lockett, RJ 
ORCID: https://orcid.org/0009-0003-8463-4325 and Chappell, DJ ORCID: https://orcid.org/0000-0001-5819-0271,
2025.
Modelling high-frequency waves using the radiative transfer equation.
In: Chadwick, E, ed.,
Proceedings of the 14th UK Conference on Boundary Integral Methods UKBIM14.
Salford: University of Salford.
ISBN 9781917780025
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Abstract
Modelling high-frequency mechanical or electromagnetic waves is important for a wide range of applications, including noise and vibration of lightweight electric vehicles and mobile network coverage. We will explain the connection between high-frequency asymptotic solutions to frequency domain wave equations and the radiative transfer equation (RTE) via a kinetic formulation of the classical Hamiltonian ray dynamics. The numerical solution of the arising RTE requires a discretisation in both the position and direction coordinates. We will introduce a computational framework based on the Discontinuous Galerkin (DG) method in space, and compare the commonly used discrete ordinate method in direction with a Fourier based approach. The DG method can be viewed as a boundary integral method since we reformulate the PDE in a weak form including both domain and boundary integrals, the latter of which describe inter-elemental fluxes. Finally, we discuss the potential of this approach for analysing complex built-up structures, highlighting its promise for addressing challenges in high-frequency wave propagation in the future.
| Item Type: | Chapter in book |
|---|---|
| Description: | Paper presented at the 14th United Kingdom Conference on Boundary Integral Methods, 7-8 Jul 2025, University of Salford |
| Creators: | Lockett, R.J. and Chappell, D.J. |
| Publisher: | University of Salford |
| Place of Publication: | Salford |
| Date: | 2025 |
| ISBN: | 9781917780025 |
| Identifiers: | Number Type 2469397 Other |
| Rights: | ©2025 The Authors |
| Divisions: | Schools > School of Science and Technology |
| Record created by: | Jeremy Silvester |
| Date Added: | 17 Jul 2025 08:14 |
| Last Modified: | 17 Jul 2025 08:14 |
| URI: | https://irep.ntu.ac.uk/id/eprint/53969 |
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