Open Access

ARTICLE

Shape Sensitivity Analysis of Acoustic Scattering with Series Expansion Boundary Element Methods

Fan Li¹, Hongxue Liu², Yongsong Li², Leilei Chen², Haojie Lian^1,*

1 Key Laboratory of In-Situ Property-Improving Mining of Ministry of Education, Taiyuan University of Technology, Taiyuan, 030024, China
2 Henan International Joint Laboratory of Structural Mechanics and Computational Simulation, School of Architecture and Civil Engineering, Huanghuai University, Zhumadian, 463000, China

* Corresponding Author: Haojie Lian. Email:

Computer Modeling in Engineering & Sciences 2025, 143(3), 2785-2809. https://doi.org/10.32604/cmes.2025.066001

Received 27 March 2025; Accepted 12 May 2025; Issue published 30 June 2025

Abstract

This study explores a sensitivity analysis method based on the boundary element method (BEM) to address the computational complexity in acoustic analysis with ground reflection problems. The advantages of BEM in acoustic simulations and its high computational cost in broadband problems are examined. To improve efficiency, a Taylor series expansion is applied to decouple frequency-dependent terms in BEM. Additionally, the Second-Order Arnoldi (SOAR) model order reduction method is integrated to reduce computational costs and enhance numerical stability. Furthermore, an isogeometric sensitivity boundary integral equation is formulated using the direct differentiation method, incorporating Cauchy principal value integrals and Hadamard finite part integrals to handle singularities. The proposed method improves the computational efficiency, and the acoustic sensitivity analysis provides theoretical support for further acoustic structure optimization.

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Keywords

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