学术
摘 要:
采用格子-Boltzmann方法分别模拟了一维及二维通道内平面声波的衰减过程．模拟中，声源给定速度及密度，出口采用出口边界条件．一维模型下，Y方向采用周期性边界条件；二维模型下，Y方向采用无滑移边界条件．模拟结果表明：在介质黏性以及壁面摩擦（仅二维）的作用下，声波沿着传播方向逐渐衰减，速度振幅及密度振幅越来越小，压力梯度呈负指数形式减小；随着波长的增大或介质黏度的减小，声波的衰减减缓，压力梯度越小．模拟获得的速度分布、压力梯度分布以及衰减系数与理论值吻合良好．最后，给出了声源的激发声压级．[著者文摘]
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文章出处:
《西安交通大学学报》-2007年41卷1期 -5-8页
栏目信息:
分 类 号:
文献标识码:
A
文章编号:
0253-987X（2007）01-0005-04
Simulation on Attenuation of Sound Waves with Lattice-Boltzmann Method
Wang Yong, He Yaling, Liu Yingwen, Huang Jing, Tong Changqing （State Key Laboratory of Multiphase Flow in Power Engineering, Xi＇an Jiaotong University, Xi＇an 710049, China）
Abstract:
Using the lattice-Boltzmann method, a numerical simulation was performed for the attenuation of plane sound waves both in one and two-dimensional channels. Sine-type velocity and density were given as the sound source at the inlet. In the vertical direction, periodic boundary condition was adopted for one-dimensional channel, and non-slip boundary condition for two-dimensional channel. Profiles of the density, velocity and pressure gradient were obtained. The results show that the waves will attenuate along the propagating direction due to the internal viscous dissipation of the propagation medium, and the friction of the wails which is only for the two-dimensional case. The attenuation of the sound waves leads to a negative exponent pressure gradient. With the increase of the wavelength or the decrease of the medium viscosity, the attenuation of sound waves becomes slower, and the pressure gradient becomes smaller. For both cases, the results agree well with the analytical solutions. In addition, the sound level of the source was presented.[著者文摘]
Key words:
lattice-Boltzmann; sound wave; attenuation
基金资助:
国家杰出青年科学基金资助项目（50425620）;高等学校博士学科点专项科研基金资助项目（20050698036）、
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