Particle trajectories under interactions between solitary waves and a linear shear current
Guan X(关昕)
刊名Theoretical and Applied Mechanics Letters ; 2
2020-01
卷号10页码:125-131
关键词Direct numerical simulation Linear shear current Particle trajectories Solitary waves
DOI10.1016/j.taml.2020.01.011
英文摘要This paper is concerned with particle trajectories beneath solitary waves when a linear shear current exists. The fluid is assumed to be incompressible and inviscid, lying on a flat bed. Classical asymptotic expansion is used to obtain a Korteweg-de Vries (KdV) equation, then a forth-order Runge-Kutta method is applied to get the approximate particle trajectories. On the other hand, our particular attention is paid to the direct numerical simulation (DNS) to the original Euler equations. A conformal map is used to solve the nonlinear boundary value problem. Highaccuracy numerical solutions are then obtained through the fast Fourier transform (FFT) and compared with the asymptotic solutions, which shows a good agreement when wave amplitude is small. Further, it also yields that there are different types of particle trajectories. Most surprisingly, periodic motion of particles could exist under solitary waves, which is due to the wave-current interaction.
内容类型期刊论文
源URL[http://dspace.imech.ac.cn/handle/311007/86650]  
专题力学研究所_流固耦合系统力学重点实验室(2012-)
作者单位1.School of Engineering Sciences, University of Chinese Academy of Sciences, Beijing, 100049, China
2.Key Laboratory for Mechanics in Fluid Solid Coupling Systems, Institute of Mechanics, Chinese Academy of Sciences, Beijing, 100190, China
推荐引用方式
GB/T 7714
Guan X. Particle trajectories under interactions between solitary waves and a linear shear current[J]. Theoretical and Applied Mechanics Letters, 2,2020,10:125-131.
APA 关昕.(2020).Particle trajectories under interactions between solitary waves and a linear shear current.Theoretical and Applied Mechanics Letters,10,125-131.
MLA 关昕."Particle trajectories under interactions between solitary waves and a linear shear current".Theoretical and Applied Mechanics Letters 10(2020):125-131.
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