TY - GEN
T1 - Fourier spectral method for acoustic simulation with domain enclosed by curved boundary
AU - Kohase, Yu
AU - Kusano, Tsubasa
AU - Yatabe, Kohei
AU - Oikawa, Yasuhiro
N1 - Publisher Copyright:
© 2019 Proceedings of the International Congress on Acoustics. All rights reserved.
Copyright:
Copyright 2021 Elsevier B.V., All rights reserved.
PY - 2019
Y1 - 2019
N2 - Curved geometries often make sound propagation complex. Such complexity may cause acoustical problems including flutter echo and sound focusing. When designing the geometry, acoustic simulation can be helpful to prevent such problems. Fourier spectral method (FSM) is a simulation method by approximation using the Fourier basis. Although FSM has many advantages such as its high convergence rate, the application range of the conventional FSM is limited to a simply-shaped domain with a specific boundary condition. In a realistic acoustics room setting, there exist a lot of room shapes beyond the scope of FSM. At the same time, the Fourier extension (FE) has been proposed for approximating a function on a complicated domain by the Fourier basis. It can be expected that the FE expands the application range of FSM. In this paper, we introduce FE into FSM for extending it to make a computational domain enclosed by curved boundaries tractable.
AB - Curved geometries often make sound propagation complex. Such complexity may cause acoustical problems including flutter echo and sound focusing. When designing the geometry, acoustic simulation can be helpful to prevent such problems. Fourier spectral method (FSM) is a simulation method by approximation using the Fourier basis. Although FSM has many advantages such as its high convergence rate, the application range of the conventional FSM is limited to a simply-shaped domain with a specific boundary condition. In a realistic acoustics room setting, there exist a lot of room shapes beyond the scope of FSM. At the same time, the Fourier extension (FE) has been proposed for approximating a function on a complicated domain by the Fourier basis. It can be expected that the FE expands the application range of FSM. In this paper, we introduce FE into FSM for extending it to make a computational domain enclosed by curved boundaries tractable.
KW - Curved boundary
KW - Fourier extension
KW - Fourier spectral method
KW - Function approximation
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U2 - 10.18154/RWTH-CONV-239874
DO - 10.18154/RWTH-CONV-239874
M3 - Conference contribution
AN - SCOPUS:85099329622
T3 - Proceedings of the International Congress on Acoustics
SP - 4498
EP - 4504
BT - Proceedings of the 23rd International Congress on Acoustics
A2 - Ochmann, Martin
A2 - Michael, Vorlander
A2 - Fels, Janina
PB - International Commission for Acoustics (ICA)
T2 - 23rd International Congress on Acoustics: Integrating 4th EAA Euroregio, ICA 2019
Y2 - 9 September 2019 through 23 September 2019
ER -