关键词: 声学, 边界元法, Burton-Miller方程, GPU计算

Abstract: A boundary element method (BEM) for Burton-Miller boundary integral equation is accelerated efficiently with Graphics Processing Units (GPUs).Conventional BEM formulations are reformulated so that they can be handled efficiently in GPU.Singularity extraction and local correction techniques are used to evaluate singular integrals,including strong-and hyper-singular ones.Numerical results show that:(1)The proposed method obtains unique and correct solutions at fictitious frequencies;(2)Accuracy of the method is almost the same as that of conventional BEM;(3)Computational time and memory consumptions of the proposed method are much lower than reported results.It shows that GPU-accelerated BEM based on Burton-Miller equation is a fast,efficient and simple method for medium-or large-scale acoustic problems in engineering.

Key words: acoustics, boundary element method, Burton-Miller equation, GPU computing