| 基于精确几何-边界元法的二维声场问题分析 |
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| 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(4):534-538. |
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| 作者姓名： | 张伟 王士革 卢闯 |
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| 作者单位： | 信阳师范学院建筑与土木工程学院 |
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| 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.
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| 关 键 词： | 边界元法 精确几何 Burton-Miller法 Cauchy主值积分 |
2D Acoustic Analysis Based on Exact Geometric Boundary Element Method |
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| Institution: | ,College of Architecture and Civil Engineering,Xinyang Normal University |
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| 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,nonunique 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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| Keywords: | boundary method exact geometric Burton-Miller formulations Cauchy principle value integral |
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