A cost comparison of the ellipsoidal acoustic infinite element method and the spherical acoustic infinite element method

Yang Ruiliang, Zhou Yide, Fan Xiaowei
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引用次数: 1

Abstract

A cost comparison of the ellipsoidal acoustic infinite element method (EAIEM)and the spherical acoustic infinite element method (SAIEM) is discussed by converting the calculational cost of infinite elements into that of finite elements. Compares to the EAIEM, the advantage of the SAIEM is evident when the dimensionless frequency is less than 10 or the ratio of the length to the width of the acoustic source is less than 10, even if using the EAIEM reduces the number of finite elements between the acoustic source and the artificial boundary. The advantage of the EAIEM is more and more remarkable as the dimensionless frequency and the ratio of the length to the width of the acoustic source increase. The efficiency and the precision of the EAIEM should be researched further to reach the highest potential of the EAIEM.
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椭球形声学无限元法与球形声学无限元法的成本比较
通过将无限元的计算成本转化为有限元的计算成本,讨论了椭球形声学无限元法和球面声学无限元法的成本比较。当无量纲频率小于10或声源的长宽比小于10时,即使使用声源与人工边界之间的有限元数量减少了,但与EAIEM相比,SAIEM的优势也很明显。随着声源无量纲频率和声源长宽比的增大,EAIEM的优势越来越明显。为了最大限度地发挥电磁法的潜力,需要进一步研究电磁法的效率和精度。
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