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International Journal for Engineering Modelling, Vol. 36 No. 1 Regular Issue, 2023.

Original scientific paper

https://doi.org/10.31534/engmod.2023.1.ri.03v

Acoustic Analysis of Multi-Frequency Problems Using the Boundary Element Method Based on Taylor Expansion

Juan Zhao orcid id orcid.org/0000-0002-0713-5659 ; College of Architecture and Civil Engineering, Xinyang Normal University, Xinyang, 464000, Henan, PR CHINA
Leilei Chen ; College of Architecture and Civil Engineering, Xinyang Normal University, Xinyang, 464000, Henan, PR CHINA
Haozhi Li ; College of Architecture and Civil Engineering, Xinyang Normal University, Xinyang, 464000, Henan, PR CHINA
Zhongwang Wang ; School of Architectural Engineering, Huanghuai University, Zhumadian 463003, Henan, Henan, PR CHINA
Wenqiang Ma ; College of Architecture and Civil Engineering, Xinyang Normal University, Xinyang, 464000, Henan, PR CHINA
Xiuyun Chen ; School of Architectural Engineering, Huanghuai University, Zhumadian 463003, Henan, Henan, PR CHINA

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Abstract

This work proposes a refreshing technique that utilizes the Taylor expansion to improve the computational efficiency of the multi-frequency acoustic scattering problem. The Helmholtz equation in acoustic problems is solved using the boundary element method (BEM). In this work, the Taylor expansion is utilized to separate frequency-dependent terms from the integrand function in the boundary integral equation so that the wave number is independent of the equation system, thereby avoiding the time-consuming frequency sweep analysis. To conquer the non-uniqueness of the solution for the external acoustic field problem, the Burton-Miller method is used to linearly combine the conventional boundary integral equation and the hypersingular boundary integral equation. Moreover, to eliminate the computational difficulties caused by the Burton-Miller method, the Cauchy principal value and the Hadamard finite part integral method are used to solve singular integrals. Two-dimensional numerical examples are exploited to verify the effectiveness and compatibility of the algorithm for the multi-frequency analysis.

Keywords

acoustic analysis; boundary element method; Taylor expansion; Burton-Miller method; frequency sweep

Hrčak ID:

299391

URI

https://hrcak.srce.hr/299391

Publication date:

21.12.2022.

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