Issue |
Acta Acust.
Volume 8, 2024
|
|
---|---|---|
Article Number | 4 | |
Number of page(s) | 12 | |
Section | Computational and Numerical Acoustics | |
DOI | https://doi.org/10.1051/aacus/2023068 | |
Published online | 16 January 2024 |
Technical & Applied Article
Efficient calculation of the three-dimensional sound pressure field around a slab track
Chalmers University of Technology, Division of Applied Acoustics, Department of Architecture and Civil Engineering, Sven Hultins Gata 8a, 41258 Gothenburg, Sweden
* Corresponding author: jannik.theyssen@chalmers.se
Received:
27
February
2023
Accepted:
17
December
2023
The wavenumber domain Boundary Element (2.5D BE) method is well suited to calculate the acoustic sound field around structures with a constant cross-section along one dimension, such as noise barriers or railway track. By expressing the sound field along this dimension in wavenumber domain, the numerical model is reduced from a 3D model to 2D model at each wavenumber. A consequence of the required discrete Fourier domain representation is that the sound field is represented by periodically repeating sections, of which only one section is physically meaningful. The resolution and the number of required wavenumbers increases with the desired length and spatial discretisation of this section. Describing the sound field adequately to auralise the sound without disturbing artefacts requires a large number of wavenumbers (and thus 2D BE computations), which is not feasible for large geometries. Here, a method is introduced that allows the calculation of the 3D sound field by solving a single 2D BE problem for a dense frequency spectrum and interpolating at higher wavenumbers. The calculation efficiency is further increased by precalculating the acoustic transfer functions between each BE surface element and receiver positions. Combining these two methods allows for efficient calculation of the 3D sound field around acoustically rigid structures such as slab tracks. The numerical approach is validated by comparison with a standard 2.5D BEM calculation and an analytical solution. Precalculated transfer functions to calculate the sound radiation from railway track, which are made available online, are illustrated. An example application is presented.
Key words: 2.5D BE / Acoustic sound field / Acoustic transfer functions / Numerical methods / Railway track
© The Author(s), Published by EDP Sciences, 2024
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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