Improved Equivalent Source Method to Predict Sound Scattered by Solid Surfaces

作     者：Xu, Chen Mao, Yijun Hu, Zhiwei 

作者机构：Univ Southampton Southampton SO17 1BJ Hants England Xi An Jiao Tong Univ Xian 710049 Shaanxi Peoples R China 

出 版 物：《AIAA JOURNAL》 (美国航空航天学会志)

年 卷 期：2019年第57卷第2期

页      面：513-520页

核心收录：

学科分类：08[工学] 0825[工学-航空宇航科学与技术] 

基　　金：Newton Fund [IE141516] International Postdoctoral Exchange Fellowship Program 

主　　题：Boundary Integral Equation Singular Value Decomposition Acoustic Scattering Iterative Algorithm Frequency Domain Green's Function Airframes Genetic Algorithm Aeroengine 

摘      要：The equivalent source method is an efficient numerical method to predict sound scattered by solid surfaces. Compared with the conventional boundary element method, the equivalent source method has inherent advantages in avoiding the problems of singularity and nonuniqueness of the solution. However, the equivalent source method can form an ill-conditioned matrix for some specific cases, such as thin scattering surfaces, resulting in serious computational errors in these situations. In this paper, an improved equivalent source method is developed in which an efficient regularization method is proposed to reduce the condition number of the coefficient matrix and the regularization parameter can be easily determined. Numerical test cases validate that the improved method usually can reach a satisfactory computational accuracy for predicting sound scattered by thin structures.