分层流体中运动物体激发的内波可分为两类,一类是体效应内波,另一类是尾流内波。对于体效应内波,理论研究趋于成熟;而对于尾流内波,主要以实验研究为主,理论分析相对欠缺。该文采用一种移动脉动源来模拟分层流体中运动物体的尾流效应,结合内波本征值问题及Fourier变换等方法,得到了计算有限深分层流体中移动脉动源生成内波垂向位移场的表达式。此法适用于有限深度中的任意分层流体。利用该理论模型,对Robey实验条件下的密度分层流体进行了数值模拟。重点从波系和波形分析文中解释了实验中存在的两个现象:即物体高速运动时横波系的存在和散波系的分离。针对运动波形,进行了数值和实验结果比较,表明了所建模型的合理性与有效性。
The internal waves generated by a body moving in stratified fluids can be divided into two categories: one is body-generated IW(short for internal wave), and the other is wake-generated IW. For the former, theoretical study becomes mature; but for the latter, experimental study dominates, theoretical analysis is relatively less. The paper use a translating and pulsating source to model the effect of the wake duo to the body moving in stratified fluids. A mathematical formula for the vertical displacement of internal waves generated by such a source is presented by use of both the associated eigenvalue problem and the Fourier transform method. The new method is suitable for arbitrary stratified fluids of finite depth. Calculations based on the proposed method are performed according to the stratification in Robey’s experiment. Two experimental phenomena are explained: the existence of transverse waves and the separation of divergent waves when the body moving at a high speed. Aimed at the kinematic wave patterns, a comparison between the numerical and experimental results is performed. It shows that the model is reasonable and effective.