张伟, 王士革, 卢闯. 基于精确几何-边界元法的二维声场问题分析[J]. 信阳师范学院学报(自然科学版), 2019, 32(4): 534-538. DOI: 10.3969/j.issn.1003-0972.2019.04.004
引用本文: 张伟, 王士革, 卢闯. 基于精确几何-边界元法的二维声场问题分析[J]. 信阳师范学院学报(自然科学版), 2019, 32(4): 534-538. DOI: 10.3969/j.issn.1003-0972.2019.04.004
ZHANG Wei, WANG Shige, LU Chuang. 2D Acoustic Analysis Based on Exact Geometric Boundary Element Method[J]. Journal of Xinyang Normal University (Natural Science Edition), 2019, 32(4): 534-538. DOI: 10.3969/j.issn.1003-0972.2019.04.004
Citation: ZHANG Wei, WANG Shige, LU Chuang. 2D Acoustic Analysis Based on Exact Geometric Boundary Element Method[J]. Journal of Xinyang Normal University (Natural Science Edition), 2019, 32(4): 534-538. DOI: 10.3969/j.issn.1003-0972.2019.04.004

基于精确几何-边界元法的二维声场问题分析

2D Acoustic Analysis Based on Exact Geometric Boundary Element Method

  • 摘要: 基于精确几何的思想,建立考虑边界几何形状,减小单元划分过程中产生几何误差的边界积分方程.积分过程中,积分项的奇异性问题通过采用Cauchy主值积分和Hadamard有限部分积分的方法来进行克服.同时,在边界元法求解声场问题过程中,出现的由非真实频率而引起的结果偏差可以通过Burton-Miller方法来解决.数值算例表明,考虑真实边界的精确几何-边界元方法具有较好的精确度.

     

    Abstract: Based on the theory of exact geometric analysis, the real geometric boundaries are considered, the error created by meshing is decreased, and a new boundary integral equation is introduced. The method of Cauchy principle value integrals and Hadamard finite-part integral are used to solve the problem of singular term integrals. Besides, non-unique solution caused by fictitious frequency is circumvented through the Burton-Miller method. Numerical examples show that the method considering the exact geometric boundary has a good accuracy.

     

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