Solitary waves in boundary layer induced by a travelling wave with increasing amplitude

被引：2
|
作者：
Feng, Peihua [1 ,2 ,3 ]
Li, Shihao [4 ]
Zhang, Jiazhong [4 ]
Wu, Ying [1 ,2 ,3 ]
机构：
[1] Xi An Jiao Tong Univ, Sch Aerosp Engn, Dept Mech, Xian, Shaanxi, Peoples R China
[2] Xi An Jiao Tong Univ, Sch Aerosp, Shaanxi Engn Lab Vibrat Control Aerosp Struct, State Key Lab Strength & Vibrat Mech Struct, Xian 710049, Shaanxi, Peoples R China
[3] Univ Elect Sci & Technol China, Minist Educ, Key Lab Neuroinformat, Chengdu 610054, Sichuan, Peoples R China
[4] Xi An Jiao Tong Univ, Sch Energy & Power Engn, Xian 710049, Shaanxi, Peoples R China
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2019年 / 77卷
基金：
中国国家自然科学基金;
关键词：
Solitary waves; Boundary layer; Benjamin-Ono equation; Stability loss; PERIODIC MOTIONS; DISTURBANCES;
D O I：
10.1016/j.cnsns.2019.02.003
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The stability of solitary waves in an incompressible boundary layer, induced by a driving wave on the wall, is studied in order to investigate the generation and development of solitary waves. The nonlinear waves in the boundary layers, excited by a travelling wave with an increasing amplitude, rather than a standing wave, are described by forced Benjamin-Ono equation. In the study, pseudo-spectral method is used to approach to the solution of the governing equation. The results show that there are several wave energy wave branches and energy jumps to higher branch via violent oscillation. The wave pattern remains similar at every branch but the number of spike increases by one with every wave oscillation. In order to study the stability of the nonlinear waves, the perturbed wave equation is derived and a complex oscillator system is obtained from the linear perturbed wave equation. The stability analysis shows that the original wave loses its stability and wave energy begins to oscillate, and a new spike-like wave is born, when imaginary part of eigenvalue reaches to zero. Indeed, spile-like solitary waves can be induced by a travelling wave during the wave energy oscillations in boundary layers. (C) 2019 Elsevier B.V. All rights reserved.
引用
收藏
页码：25 / 39
页数：15
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