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ORIGINAL RESEARCH article

Front. Phys.
Sec. Interdisciplinary Physics
Volume 12 - 2024 | doi: 10.3389/fphy.2024.1464716
This article is part of the Research Topic Wave Propagation in Complex Environments, Volume II View all 6 articles

A reduced-order boundary element method for two-dimensional acoustic scattering

Provisionally accepted
Senhao Zhong Senhao Zhong 1,2*Xinbo Jiang Xinbo Jiang 1*Jing Du Jing Du 3*Jie Liu Jie Liu 4*
  • 1 Solux college of architecture and design, University of South China, Hengyang, China
  • 2 College of Mining Engineering, Taiyuan University of Technology, Taiyuan, China
  • 3 Center for Strategic Assessment and Consulting, Academy of Military Science, Beijing, China
  • 4 Computer Engineering Department, Taiyuan Institute of Technology, Taiyuan, China

The final, formatted version of the article will be published soon.

    This study presents a novel method for wideband acoustic analysis using the Boundary Element Method (BEM). In traditional BEM, analyzing acoustic states across different frequencies requires repetitive computations due to the frequency-dependent system matrix, resulting in significant computational time. To address this, we expand the Hankel function into a Taylor series, enabling the separation of frequency-dependent and frequency-independent components in the boundary integral equations. This leads to the construction of a frequency-independent system matrix.Additionally, the formation of full-rank, asymmetric coefficient matrices in BEM introduces further computational challenges when solving system equations over wide frequency ranges, especially for large-scale problems. To mitigate this, we develop a Reduced-Order Model (ROM) using the Second-Order Arnoldi (SOAR) method, which retains the key characteristics of the original Full-Order Model (FOM). The singularity elimination technique is employed to directly compute the strong singular and super-singular integrals in the acoustic equations. Numerical examples demonstrate the accuracy and efficiency of the proposed approach, which is crucial for practical, large-scale applications in fields such as noise control and acoustic design, where fast and precise analysis is paramount.

    Keywords: boundary element method, SOAR, Taylor expansion, sound barrier, acoustic scattering

    Received: 15 Jul 2024; Accepted: 18 Nov 2024.

    Copyright: © 2024 Zhong, Jiang, Du and Liu. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) or licensor are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.

    * Correspondence:
    Senhao Zhong, Solux college of architecture and design, University of South China, Hengyang, China
    Xinbo Jiang, Solux college of architecture and design, University of South China, Hengyang, China
    Jing Du, Center for Strategic Assessment and Consulting, Academy of Military Science, Beijing, China
    Jie Liu, Computer Engineering Department, Taiyuan Institute of Technology, Taiyuan, China

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