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适用于高声强正入射声波的非线性声阻模型
李晓东
1
，陈超
1
，徐珺
2
1
北京航空航天大学能源与动力工程学院，北京 100191
2
中国航发商用航空发动机有限责任公司设计研发中心，上海 201108
摘要：使用基于计算气动声学方法的高精度DNS求解器，求解在高声强正入射声波条件下标准
共振腔的声学响应。通过数值模拟得到的微孔共振腔腔口处法向均方根速度和非线性声阻之间
的相互关系，建立了不依赖于数值模拟及实验的非线性声阻预测模型。结合已有的线性声阻抗
模型对实际声衬的声阻抗进行预测，与相关实验数据进行对比，结果表明在不同入射声压和来
流马赫数的情况下，本文所发展的模型具有很好的预测精度。
关键词：计算气动声学；非线性声阻抗模型；高声强
中图分类号： V231
Nonlinear Resistance Model of a Resonator
under High Intensity Normal Incoming Wave
LI Xiao-dong
1
, CHEN Chao
1
, XU Jun
2
1
School of Energy and Power Engineering , Beihang University, Beijing 100191
2
Research and Development Center, AECC Commercial Aircraft Engine CO., LTD.,
Shanghai 201108
Abstract: Numerical simulation of standard resonator is conducted by a high-order DNS
solver based on computational aeroacoustics (CAA). Through the numerical investigation of
micro flow phenomena around resonator slit, a relationship between averaged root mean
square (RMS) velocity in the slit and the reactance of resonator is found, and based on which,
a new nonlinear resistance model is then established. This nolinear resistance model is able to
accurately predict resistance introduced by high incident SPL independently and efficiently,
and with the combination to the existing linear impedance model and nonlinear resistance
model introduced by grazing flow, a full impedance model of liners could be obtained. Several
cases of resonators or liners with different incident SPL and grazing flow velocity is tested by
using this impedance model and prediction of impedance and sound absorption coefficient are
shown with good agreement with reference results.
Key words: computational aeroacoustics; nonlinear impedance model; hign intensity sound
wave
基金项目： 高等学校博士学科点专项科研基金(20131102110012)
作者简介： 李晓东（1967-），男，教授，主要研究方向：气动声学，Email: lixd@buaa.edu.cn。
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