WIT Press


Adaptive Integration Technique For Nearly Singular Integrals In Near-field Acoustics Boundary Element Analysis

Price

Free (open access)

Paper DOI

10.2495/BEM360291

Volume

56

Pages

11

Page Range

353 - 363

Published

2014

Size

484 kb

Author(s)

Shen Qu, Hao-Ran Chen, Rui-Xiang Bai & Sheng Li

Abstract

The aim of this paper is to present an efficient adaptive integration technique to perform near-field acoustics boundary element analysis, in which nearly singular integrals will be encountered as the source point in integral equations is close to the boundary of the acoustic domain. At this time the integrand varies sharply, so the conventional Gaussian quadrature becomes inefficient or even inaccurate. In this paper, an adaptive integration technique is proposed, which determines required Gauss orders and the number of sub-elements according to the specified integration accuracy and the relative position from the source point in integral equations to the element under integration. Two numerical examples have been presented to demonstrate the efficiency and accuracy of the proposed approach. Keywords: nearly singular integrals, boundary element method, adaptive integration, subdivision technique.

Keywords

nearly singular integrals, boundary element method, adaptive integration, subdivision technique