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Fast frequency sweep method for indirect boundary element models arising in acoustics

机译：声学中间接边界元模型的快速扫频方法

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摘要

This paper presents an efficient approach for computing frequency sweeps with fine increments of acoustic systems described by the variational indirect boundary element method. The matrices arising from such boundary element discretizations are fully populated and their assembly is computationally demanding as it involves the calculation of double surface integrals for each system matrix entry. Therefore, the two operations performed when computing the response at one frequency, namely assembling the system matrix and solving the associated linear system, may be of the same order of magnitude in terms of the required computational time. The proposed fast frequency sweep approach accelerates both operations. First, it avoids forming the system matrices for each individual frequency. Matrices are only assembled at a few master frequencies, while for the rest, interpolation is used on scaled quantities determined at the master frequencies. Second, it avoids solving a dense linear system at each frequency. Pade approximants constructed via the well-conditioned asymptotic waveform evaluation algorithm are used to extrapolate the response around expansion frequencies using derivative information. The proposed method was tested on an exterior acoustics application representing an academic test case, as well as on an interior/exterior application representing an industrial test case.
机译：本文提出了一种有效的方法，可以用变分间接边界元法描述的声学系统的细微增量来计算频率扫描。由此类边界元素离散化产生的矩阵已完全填充，并且它们的组装在计算方面要求很高，因为它涉及每个系统矩阵项的双表面积分的计算。因此，在一个频率上计算响应时执行的两个操作，即组装系统矩阵和求解关联的线性系统，在所需的计算时间方面可能具有相同的数量级。拟议的快速扫频方法可加速两种操作。首先，它避免为每个单独的频率形成系统矩阵。矩阵仅在几个主频率上组装，而其余部分则对在主频率上确定的缩放量使用插值。其次，它避免了在每个频率下求解密集的线性系统。通过条件良好的渐近波形评估算法构造的Pade近似值用于使用导数信息外推扩展频率附近的响应。在代表学术测试用例的外部声学应用程序以及代表工业测试用例的内部/外部应用程序上测试了所提出的方法。

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  • 来源
    《Engineering analysis with boundary elements》 |2016年第8期|32-45|共14页
  • 作者

    Sanda Lefteriu; Marcos Souza Lenzi; Hadrien Beriot; Michel Tournour; Wim Desmet;

  • 作者单位

    Ecole des Mines de Douai, Departement Informatique et Automatique, 941 Rue Charles Bourseul, 59508 Douai Cedex, France;

    Federal University of Parana, Department of Mechanical Engineering, Centro Politecnico, 81531990 Curitiba PR, Brazil;

    Siemens Industry Software, Simulation and Test Solutions, Interleuvenlaan 68, B-3001 Heverlee, Belgium;

    Siemens Industry Software, Simulation and Test Solutions, Interleuvenlaan 68, B-3001 Heverlee, Belgium;

    KU Leuven, Department of Mechanical Engineering, Celestijnenlaan 300 B, B-3001 Heverlee, Belgium;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Fast frequency sweep; Acoustics; Indirect boundary element method; Pade approximant;

    机译：快速扫频;声学;间接边界元法;帕德近似值;

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