Development of a next generation boundary element method for multi-purpose wave-based sound field analyses

2009 Fiscal Year Final Research Report

• Project/Area Number: 20700007
• Research Category: Grant-in-Aid for Young Scientists (B)
• Allocation Type: Single-year Grants
• Research Field: Fundamental theory of informatics
• Research Institution: The University of Tokyo
• Principal Investigator: YASUDA Yosuke The University of Tokyo, 大学院・新領域創成科学研究科, 特任研究員 (90456187)
• Project Period (FY): 2008 – 2009
• Keywords: シミュレーション工学 / ソフトウェア開発効率化・安定化 / 計算物理 / 音響数値解析

Research Abstract

A next generation boundary element method (BEM), which enables large-scale calculation of acoustical problems including structural-acoustical and acoustical-acoustical coupled ones with the use of the fast multipole method (FMM) and the Krylov subspace iterative method, has been developed. Specifically, a numerical setting to deal with absorbent materials in conjunction with the FMM has been proposed, and an efficient technique to analyze structural-acoustical problems based on modal analyses of structural fields has been developed. This next generation BEM also enables efficient calculation of so-called low-frequency problems (the boundary mesh size is much smaller than the wavelength), which the conventional FMM-accelerated BEM cannot calculate because of numerical instability.

Research Products

• [Presentation] 吸音体を含む室内の高速多重極BEMによる領域分割解析 (2010)
  • Author(s): 安田洋介, 江田和司, 佐久間哲哉, 大嶋拓也
  • Organizer: 日本音響学会講演論文集
  • Place of Presentation: 東京
  • Year and Date: 2010-03-09
• [Presentation] 低周波数解析のための高速多重極BEM-計算精度・効率に関する検討- (2009)
  • Author(s): 桝本貴之, グナワン・アリーフ, 大嶋拓也, 安田洋介, 佐久間哲哉
  • Organizer: 日本音響学会講演論文集
  • Place of Presentation: 福島
  • Year and Date: 2009-09-17
• [Presentation] 低周波数解析のための高速多重極BEM-計算アルゴリズムについて- (2009)
  • Author(s): 安田洋介, 佐久間哲哉, 大嶋拓也
  • Organizer: 日本音響学会講演論文集
  • Place of Presentation: 福島
  • Year and Date: 2009-09-17
• [Presentation] Development of low-frequency fast multipole BEM and its performance tests (2009)
  • Author(s): T. Masumoto, A. Gunawan, T. Oshima, Y. Yasuda, T. Sakuma
  • Organizer: Proc. Inter-Noise 2009
  • Place of Presentation: Ottawa
  • Year and Date: 2009-08-26
• [Presentation] 低周波数解析のための高速多重極BEM-係数変換に関する検討- (2009)
  • Author(s): 安田洋介, 佐久間哲哉, 大嶋拓也
  • Organizer: 日本音響学会講演論文集
  • Place of Presentation: 東京
  • Year and Date: 2009-03-17
• [Presentation] Analysis of sound fields in porous materials using the fast multipole BEM (2008)
  • Author(s): Y. Yasuda, T. Sakuma
  • Organizer: Proc. Inter-Noise 2008
  • Place of Presentation: Shanghai
  • Year and Date: 2008-10-27
• [Presentation] Coupling analysis between FMBEM-based acoustic and modal-based structural models -Convergence behavior of iterative solutions- (2008)
  • Author(s): T. Masumoto, A. Gunawan, T. Oshima, Y. Yasuda, T. Sakuma
  • Organizer: Proc. Inter-Noise 2008
  • Place of Presentation: Shanghai
  • Year and Date: 2008-10-27
• [Presentation] 高速多重極BEMを用いた音響-構造連成解析における反復解法の収束性 (2008)
  • Author(s): 桝本貴之, Arief Gunawan, 大嶋拓也, 安田洋介, 佐久間哲哉
  • Organizer: 日本音響学会講演論文集
  • Place of Presentation: 福岡
  • Year and Date: 2008-09-10
• [Remarks] 安田洋介, 佐久間哲哉, 大嶋拓也, グナワン・アリーフ, 桝本貴之, 低周波数解析のための高速多重極BEM-縮退境界モデルにおける定式化-, 日本音響学会騒音・振動研究会資料(新潟), N-2010-04 (2010. 1. 22).
• [Remarks] 安田洋介, 佐久間哲哉, 大嶋拓也, グナワン・アリーフ, 桝本貴之, 低周波数解析のための高速多重極BEM, 日本音響学会建築音響研究会資料(京都), AA2009-69 (2009. 12. 2).