Open Access

ARTICLE

A Modified Formulation of Singular Boundary Method for Exterior Acoustics

by Yi Wu, Zhuojia Fu^*, Jian Min

Institute of Grid and High Performance Computing, College of Mechanics and Materials, Hohai University, Nanjing, 211100, China

* Corresponding Author: Zhuojia Fu. Email:

(This article belongs to the Special Issue: Advances on Mesh and Dimension Reduction Methods)

Computer Modeling in Engineering & Sciences 2023, 135(1), 377-393. https://doi.org/10.32604/cmes.2022.023205

Received 14 April 2022; Accepted 16 June 2022; Issue published 29 September 2022

Abstract

This paper proposes a modified formulation of the singular boundary method (SBM) by introducing the combined Helmholtz integral equation formulation (CHIEF) and the self-regularization technique to exterior acoustics. In the SBM, the concept of the origin intensity factor (OIF) is introduced to avoid the singularities of the fundamental solutions. The SBM belongs to the meshless boundary collocation methods. The additional use of the CHIEF scheme and the self-regularization technique in the SBM guarantees the unique solution of the exterior acoustics accurately and efficiently. Consequently, by using the SBM coupled with the CHIEF scheme and the self-regularization technique, the accuracy of the numerical solution can be improved, especially near the corresponding internal characteristic frequencies. Several numerical examples of two-dimensional and three-dimensional benchmark examples about exterior acoustics are used to verify the effectiveness and accuracy of the proposed method. The proposed numerical results are compared with the analytical solutions and the solutions obtained by the other numerical methods.

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Keywords

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