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Indexed by:期刊论文

Date of Publication:2014-03-01

Journal:JOURNAL OF LOW FREQUENCY NOISE VIBRATION AND ACTIVE CONTROL

Included Journals:SCIE、EI、Scopus

Volume:33

Issue:1

Page Number:27-45

ISSN No.:0263-0923

Key Words:nearly singular integrals; boundary element method; adaptive integration; sub-division technique

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 equation close to the boundary of 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 the 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 equation to the element under integration. By introducing the Jacobian of the sub-element, nearly singular integrals can be calculated numerically without the nodal values of sub-elements. Two numerical examples are presented to demonstrate the efficiency and accuracy of the proposed approach.