边界元法
空气动力学
快速多极方法
多极展开
声学
计算机科学
边界(拓扑)
有限元法
物理
数学
数学分析
工程类
机械
结构工程
量子力学
作者
Takayuki Masumoto,Masaaki Mori,Yosuke Yasuda,Naohisa Inoue,Tetsuya Sakuma
出处
期刊:Journal of theoretical and computational acoustics
[World Scientific]
日期:2023-09-01
卷期号:31 (03)
标识
DOI:10.1142/s2591728523500093
摘要
The primary disadvantage of the aerodynamic sound field analysis based on the Lighthill’s equation using the boundary element method (BEM) is the computational time; this is mainly because contributions from numerous aerodynamic sound sources are computed at all boundary element nodes and sound-receiving points. This study proposes a fast method for computing source contributions based on the fast multipole method (FMM). Along with the fast multipole BEM, which is already in practical use as a fast BEM, the analysis is substantially accelerated. The use of a common hierarchical cell structure for grouping boundary element nodes, sound-receiving points and aerodynamic sound sources, enables coefficients of the FMM to be reused, thereby further accelerating the analysis. To deal with the increasing hierarchical level, a wideband FMM is applied. In the sound radiation analysis of a quadrupole source located in a free field, the accuracy is validated. Sound radiation from a cylinder located in a flow is analyzed as a practical problem; the accuracy and numerical settings are discussed. Finally, the proposed method is applied to a problem with more than 0.4 million degrees-of-freedom and more than 3 million aerodynamic sound sources to demonstrate its applicability to large-scale problems.
科研通智能强力驱动
Strongly Powered by AbleSci AI