用边界元法计算声辐射时高次奇异积分的处理方法

A method of treating high-order singular integration in calculation of sound radiation with BEM

摘要: 边界元法应用于计算辐射声场时,由于奇异积分的存在,会影响到计算结果的精度。本文描述了处理带有1/r奇异积分和1/r²二次奇异积分的处理方法,包括数学证明和数值积分方法。计算结果表明这种方法能提高精度。

Abstract: The singular integration will affect the precision of the result while the Boundary Element Method (BEM) is used in calculating sound radiation. The methods of treating singularities in 1/r² as well as singularities in 1/r were presented,which include mathematical proof and numerical integration method. The calculating results show this method can improve the precision of the results.