声学Burton-Miller方程边界元法GPU并行计算被引量：6

GPU-accelerated Boundary Element Method for Burton-Miller Equation in Acoustics

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摘要基于GPU,对声学Burton-Miller积分方程的边界元解法进行并行计算.提出并行计算格式和程序实现方法,以及Burton-Miller方程中各类奇异(包括强奇异、超奇异)积分的GPU计算和局部修正方法.典型算例结果表明,在特征频率处可获得正确的解,具有较高精度,可在普通个人计算机上快速完成自由度超过2×105的声学边界元分析.为计算声学及相关工程领域的中、大规模声场分析问题提供一种快速、高效、简便的数值计算工具. 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.

作者黄铄校金友胡玉财王焘

机构地区西北工业大学航天学院

出处《计算物理》 EI CSCD 北大核心 2011年第4期481-487,共7页 Chinese Journal of Computational Physics

关键词声学边界元法 Burton-Miller方程 GPU计算 acoustics boundary element method Burton-Miller equation GPU computing

分类号 O422.2 [理学—声学]

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