华南理工大学学报(自然科学版) ›› 2011, Vol. 39 ›› Issue (4): 135-139,162.doi: 10.3969/j.issn.1000-565X.2011.04.024

• 土木建筑工程 • 上一篇    下一篇

声学FDTD法完全匹配层数和衰减系数对衰减性能的影响

黄坤朋 赵越嚣   

  1. 华南理工大学 亚热带建筑科学国家重点实验室,广东 广州 510640
  • 收稿日期:2010-09-07 修回日期:2010-12-29 出版日期:2011-04-25 发布日期:2011-03-01
  • 通信作者: 黄坤朋(1980-),男,博士生,主要从事声场仿真研究 E-mail:ohmycar@163.com
  • 作者简介:黄坤朋(1980-),男,博士生,主要从事声场仿真研究
  • 基金资助:

    国家自然科学基金资助项目(50938003)

 Attenuation Ability Influenced by Amount and Attenuation Coefficient of Perfectly-Matched Layers in Acoustic FDTD Method

Huang Kun-peng  Zhao Yue-zhe   

  1. 1.State Key Laboratory for Geomeehanics and Deep Underground Engineering,China University of Mining and Technology(Beijing),Beijing 100083,China;2.Department of Civil EngineeringfKey Laboratory of Civil Engineering Safety and Durability of the Education of Ministry,Tsinghua University,Beijing 100084,China
  • Received:2010-09-07 Revised:2010-12-29 Online:2011-04-25 Published:2011-03-01
  • Contact: 黄坤朋(1980-),男,博士生,主要从事声场仿真研究 E-mail:ohmycar@163.com
  • About author:黄坤朋(1980-),男,博士生,主要从事声场仿真研究
  • Supported by:

    国家自然科学基金资助项目(50938003)

摘要: 分析了声学时域有限差分(FDTD)法中完全匹配层(PML)层数、衰减系数对吸收效果的影响.通过建立研究PML边界吸收性能的模型发现:PML边界层层数和衰减系数的选择相互关联;边界层数越多,PML的吸收效果越好,但计算量增大;层数一定时,需要为各衰减层设置合适的衰减系数,以减少衰减系数差异带来的数值反射;在实际计算中,应综合考虑计算量和计算精度,给出这些参数的合理设置值.

关键词: 时域有限差分法(FDTD), 完全匹配层(PML), 衰减系数

Abstract:

This paper deals with the acoustic absorbing ability affected by the amount and attenuation coefficient of perfectly-matched layers(PML) in acoustic finite-difference time-domain(FDTD) method,and establishes a PML boundary model for the absorbing ability analysis.The results indicate that(1) the layer amount and the attenuation coefficient relate to each other;(2) more PML layers may result in high absorbing ability but heavy computation burden;(3) when the layer amount is unchanged,appropriate attenuation coefficient should be set for each attenuation layer for the purpose of decreasing the numerical reflection due to the difference in attenuation coefficient;and(4) in practical applications,suitable layer amount and attenuation coefficient should be determined by comprehensively considering the calculation complexity and accuracy.

Key words: finite-difference time-domain(FDTD), perfectly matched layer(PML), attenuation coefficient