水下水平运动涡旋引起的声重力波  

Acoustic-gravity waves induced by vortices horizontally moving underwater

作　　者：董清晨 赵欣 黄彪 王国玉 Qingchen Dong;Xin Zhao;Biao Huang;Guoyu Wang(School of Mechanical Engineering,Beijing Institute of Technology,Beijing,100081,China;School of Aerospace Engineering,Beijing Institute of Technology,Beijing,100081,China)

机构地区：[1]不详

出　　处：《Acta Mechanica Sinica》2024年第2期65-74,共10页力学学报（英文版）

基　　金：the National Key R&D Program of China(Grant No.2022YFB3303500).

摘　　要：本文推导了重力声波的控制方程.基于该控制方程,研究了水下水平运动圆柱体所引起的声重力波.从声重力波的频谱中观察到强烈的各向异性现象.结果表明,在声重力波谱中可以观察到一组线谱,近似为两套连续谱.利用格林函数得到了二维空间中由运动涡对产生的声重力波的半解析解,分析了谱的特征频率.对三维空间中声重力波的远场解进行了渐近分析,以解释从频谱中观察到的现象.In this article,the governing equation of acoustic gravity waves is derived.Based on the governing equation,acoustic-gravity waves induced by a cylinder horizontally moving under water are investigated.Strong anisotropy phenomena are observed from the frequency spectra of the acoustic-gravity waves.According to the results,a set of line spectra,which are approximately two sets of continuous spectra,can be observed in the spectrum of the acoustic-gravity wave.A semi-analytic solution for the acoustic-gravity wave generated by the moving vortex pair in two-dimensional space is obtained with Green’s function to analyze the characteristic frequencies of the spectrum.The far-field solution of acoustic-gravity waves in three-dimensional space is asymptotically analyzed to explain phenomena observed from the frequency spectra.

关 键 词：渐近分析 半解析解 声重力波 格林函数 特征频率 连续谱 控制方程 二维空间 

分 类 号：O3[理学—力学]