Analysis of mutiple-shepers radiation and scattering problems by using a null-field integral equation approach

被引：31

作者：

Chen, Jeng-Tzong ^{[1
,2
]}

Lee, Ying-Te ^{[1
]}

Lin, Yi-Jhou ^{[1
]}

机构：

[1] Natl Taiwan Ocean Univ, Dept Harbor & River Engn, Chilung 20224, Taiwan

[2] Natl Taiwan Ocean Univ, Dept Mech Engn & Mech, Chilung 20224, Taiwan

来源：

APPLIED ACOUSTICS | 2010年 / 71卷 / 08期

关键词：

Scattering; Radiation; Null-field integral equation; Degenerate kernel; Spherical harmonics; Semi-analytical method; ACOUSTIC SCATTERING; DEGENERATE KERNEL; CIRCULAR HOLES; CHIEF METHOD; FORMULATION; SPHERES;

D O I：

10.1016/j.apacoust.2010.02.004

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

A systematic approach using the null-field integral equation in conjunction with the degenerate kernel is employed to solve the multiple radiation and scattering problems. Our approach can avoid calculating the principal values of singular and hypersingular integrals. Although we use the idea of null-field integral equation, we can locate the point on the real boundary thanks to the degenerate kernel. The proposed approach is seen as one kind of semi-analytical methods, since the error is attributed from the truncation of spherical harmonics. Finally, the numerical examples including one and two spheres are given to verify the validity of proposed approach. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：690 / 700

页数：11

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