A Modified Formulation of Singular Boundary Method for Exterior Acoustics

作     者：Yi Wu Zhuojia Fu Jian Min 

作者机构：Institute of Grid and High Performance ComputingCollege of Mechanics and MaterialsHohai UniversityNanjing211100China 

出 版 物：《Computer Modeling in Engineering & Sciences》 (工程与科学中的计算机建模（英文）)

年 卷 期：2023年第135卷第4期

页      面：377-393页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：supported by the National Science Fund of China(Grant No.12122205) the Six Talent Peaks Project in Jiangsu Province of China(Grant No.2019-KTHY-009) 

主　　题：Singular boundary method CHIEF method self-regularization technique acoustic radiation and scattering 

摘      要：This paper proposes amodified formulation of the singular boundarymethod(SBM)by introducing the combined Helmholtz integral equation formulation(CHIEF)and the self-regularization technique to exterior *** the SBM,the concept of the origin intensity factor(OIF)is introduced to avoid the singularities of the fundamental *** SBM belongs to the meshless boundary collocation *** additional use of the CHIEF scheme and the self-regularization technique in the SBM guarantees the unique solution of the exterior acoustics accurately and ***,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 *** numerical examples of two-dimensional and threedimensional benchmark examples about exterior acoustics are used to verify the effectiveness and accuracy of the proposed *** proposed numerical results are compared with the analytical solutions and the solutions obtained by the other numerical methods.