Fourier spectral method for acoustic simulation with domain enclosed by curved boundary

Yu Kohase, Tsubasa Kusano, Kohei Yatabe, Yasuhiro Oikawa

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

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.

Original languageEnglish
Title of host publicationProceedings of the 23rd International Congress on Acoustics
Subtitle of host publicationIntegrating 4th EAA Euroregio 2019
EditorsMartin Ochmann, Vorlander Michael, Janina Fels
PublisherInternational Commission for Acoustics (ICA)
Pages4498-4504
Number of pages7
ISBN (Electronic)9783939296157
DOIs
Publication statusPublished - 2019
Event23rd International Congress on Acoustics: Integrating 4th EAA Euroregio, ICA 2019 - Aachen, Germany
Duration: 2019 Sep 92019 Sep 23

Publication series

NameProceedings of the International Congress on Acoustics
Volume2019-September
ISSN (Print)2226-7808
ISSN (Electronic)2415-1599

Conference

Conference23rd International Congress on Acoustics: Integrating 4th EAA Euroregio, ICA 2019
CountryGermany
CityAachen
Period19/9/919/9/23

Keywords

  • Curved boundary
  • Fourier extension
  • Fourier spectral method
  • Function approximation

ASJC Scopus subject areas

  • Mechanical Engineering
  • Acoustics and Ultrasonics

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