土木建筑工程

声学FDTD法完全匹配层数和衰减系数对衰减性能的影响

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  • 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
黄坤朋(1980-),男,博士生,主要从事声场仿真研究

收稿日期: 2010-09-07

  修回日期: 2010-12-29

  网络出版日期: 2011-03-01

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

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  • 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
黄坤朋(1980-),男,博士生,主要从事声场仿真研究

Received date: 2010-09-07

  Revised date: 2010-12-29

  Online published: 2011-03-01

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.

本文引用格式

黄坤朋 赵越喆 . 声学FDTD法完全匹配层数和衰减系数对衰减性能的影响[J]. 华南理工大学学报(自然科学版), 2011 , 39(4) : 135 -139,162 . DOI: 10.3969/j.issn.1000-565X.2011.04.024

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.

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