Conference paper
Accelerated sound propagation simulations using an error-free Fourier method coupled with the spectral element method
Acoustic Technology, Department of Electrical and Photonics Engineering, Technical University of Denmark1
Department of Electrical and Photonics Engineering, Technical University of Denmark2
Center for Energy Resources Engineering, Centers, Technical University of Denmark3
Scientific Computing, Department of Applied Mathematics and Computer Science, Technical University of Denmark4
Department of Applied Mathematics and Computer Science, Technical University of Denmark5
Eindhoven University of Technology6
Simulating acoustics efficiently and accurately using numerical methods has been an active research area for the last decades and has applications in computer games, VR/AR, and architectural design. However, their extensive computation time makes these methods challenging for large scenes and broad frequency ranges.
This work attempts to accelerate the simulations using rectangular decomposition, enabling error-free propagation in the bulk of the domain consisting of air. We exploit the analytical solution to the wave equation in rectangular domains calculated using the Fast Fourier Transform with near-optimal spatial discretization satisfying the Nyquist criterium.
Coupling with the spectral element method near the boundaries results in a method capable of handling complex geometries with realistic boundaries, though with the caveat that additional errors and computational overhead may result from the interface. This paper will investigate the accuracy and efficiency of the proposed domain decomposition method compared to a spectral element implementation running in the entire domain and the results in 1D indicate an 18 times speedup factor for relative errors below 9%.
Language: | English |
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Publisher: | Institute of Noise Control Engineering |
Year: | 2022 |
Proceedings: | The 51st International Congress and Exposition on Noise Control Engineering |
ISBN: | 1906913420 and 9781906913427 |
Types: | Conference paper |
DOI: | 10.3397/IN_2022_0383 |
ORCIDs: | Borrel-Jensen, Nikolas , Engsig-Karup, Allan P. and Jeong, Cheol Ho |