您的位置:首页  > 论文页面

波动基底对流体表面波影响的数值研究

发表时间:2013-02-15  浏览量:1084  下载量:534
全部作者: 吴正人,莫崇园,王松岭
作者单位: 华北电力大学能源动力与机械工程学院
摘 要: 研究流体在具有线性波动的基底上的流动,重点分析线性简谐波动对流体表面波的影响。在基底线性波为长波和小振幅情况下,从势流理论的基本方程和边界条件出发,采用多重尺度摄动法推导出基底波动情况下流体表面波满足的一阶近似方程和二阶近似方程。在二阶近似下,求得一阶近似方程的解,并且采用Matlab软件对一阶近似方程的解进行数值模拟,模拟显示:当基底波动为简谐波时,流体表面波由两部分组成,一部分为简谐波,且与基底波动同频率同相位;另一部分为一对分别向右向左传播的KdV孤立波。随着时间的发展,该表面的简谐波与传播的KdV孤立波互不影响,各自独立传播。因此可以认为流体表面的波形与基底波动的形式有关。
关 键 词: 流体力学;表面波;多重尺度摄动法;波动基底;数值模拟
Title: Numerical study on the influences of waving bottom on the fluid surface wave
Author: WU Zhengren, MO Chongyuan, WANG Songling
Organization: School of Energy Power and Mechanical Engineering, North China Electric Power University
Abstract: In the present paper, the fluid flowing over a linear waving bottom was studied and the effects of the linear simple harmonic wave on the fluid surface wave was analysed. When the basement linear wave was long wave and small amplitude, starting from the basic equations of potential flow theory and boundary conditions, the first-order approximate equation and second-order approximate equation were derived for fluid surface waves in the presence of waving bottom bed using the multiple scales perturbation method. Under the second-order approximation, the solution of first-order approximate equation was obtained, and then the solution of first-order approximate equation was numerically simulated by Matlab software. Simulation results showed that when the waving bottom was simple harmonic wave, the fluid surface wave was composed of two parts. One part was simple harmonic wave, whose frequency and phase were the same of the waving bottom function. The other part was a pair of the spread of KdV solitary waves, which propagated to the left and to the right respectively. With the development of time, this simple harmonic wave and the spread of KdV solitary waves were not affected each other, and they propagated independently. Therefore, it can be considered that the waveform of the fluid surface is concerned with the form of waving bottom bed.
Key words: fluid mechanics; surface wave; multiple scales perturbation method; waving bottom; numerical simulation
发表期数: 2013年2月第3期
引用格式: 吴正人,莫崇园,王松岭. 波动基底对流体表面波影响的数值研究[J]. 中国科技论文在线精品论文,2013,6(3):268-272.
 
0 评论数 0
暂无评论
友情链接