声学FDTD法完全匹配层数和衰减系数对衰减性能的影响  

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

作　　者：黄坤朋[1] 赵越喆[1] 

机构地区：[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

出　　处：《华南理工大学学报（自然科学版）》2011年第4期135-139,162,共6页Journal of South China University of Technology(Natural Science Edition)

基　　金：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.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.

关 键 词：时域有限差分法 完全匹配层 衰减系数 

分 类 号：TU112[建筑科学—建筑理论]