Nonlinear hydroelastic waves on a linear shear current at finite depth

doi:10.1017/jfm.2019.528

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	Nonlinear hydroelastic waves on a linear shear current at finite depth
	Gao T; Wang Z(王展); Milewski PA
通讯作者	Wang, Z.([email protected])
发表期刊	JOURNAL OF FLUID MECHANICS
	2019-10-10
卷号	876 页码:55-86
ISSN	0022-1120
摘要	This work is concerned with waves propagating on water of finite depth with a constant-vorticity current under a deformable flexible sheet. The pressure exerted by the sheet is modelled by using the Cosserat thin shell theory. By means of multi-scale analysis, small amplitude nonlinear modulation equations in several regimes are considered, including the nonlinear Schrodinger equation (NLS) which is used to predict the existence of small-amplitude wavepacket solitary waves in the full Euler equations and to study the modulational instability of quasi-monochromatic wavetrains. Guided by these weakly nonlinear results, fully nonlinear steady and time-dependent computations are performed by employing a conformal mapping technique. Bifurcation mechanisms and typical profiles of solitary waves for different underlying shear currents are presented in detail. It is shown that even when small-amplitude solitary waves are not predicted by the weakly nonlinear theory, we can numerically find large-amplitude solitary waves in the fully nonlinear equations. Time-dependent simulations are carried out to confirm the modulational stability results and illustrate possible outcomes of the nonlinear evolution in unstable cases.
关键词	shear waves solitary waves surface gravity waves
DOI	10.1017/jfm.2019.528
收录类别	SCI ; EI
语种	英语
WOS记录号	WOS:000477951600001
关键词[WOS]	FLEXURAL-GRAVITY-WAVES ; LOADED ELASTIC PLATE ; SEA ICE-SHEET ; SOLITARY WAVES ; WATER-WAVES ; DEEP-WATER ; SURFACE-WAVES ; STABILITY ; AMPLITUDE ; COMPUTATIONS
WOS研究方向	Mechanics ; Physics
WOS类目	Mechanics ; Physics, Fluids & Plasmas
资助项目	National Natural Science Foundation of China[11772341] ; Key Research Program of Frontier Sciences, CAS[QYZDBSSW-SYS015] ; Strategic Priority Research Program of the Chinese Academy of Sciences[XDB22040203] ; EPSRC[EP/N018176/1]
项目资助者	National Natural Science Foundation of China ; Key Research Program of Frontier Sciences, CAS ; Strategic Priority Research Program of the Chinese Academy of Sciences ; EPSRC
论文分区	一类/力学重要期刊
力学所作者排名	1
RpAuthor	Wang, Z.
引用统计	被引频次：10[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://dspace.imech.ac.cn/handle/311007/79485
专题	流固耦合系统力学重点实验室
推荐引用方式 GB/T 7714	Gao T,Wang Z,Milewski PA. Nonlinear hydroelastic waves on a linear shear current at finite depth[J]. JOURNAL OF FLUID MECHANICS,2019,876:55-86.Rp_Au:Wang, Z.
APA	Gao T,王展,&Milewski PA.(2019).Nonlinear hydroelastic waves on a linear shear current at finite depth.JOURNAL OF FLUID MECHANICS,876,55-86.
MLA	Gao T,et al."Nonlinear hydroelastic waves on a linear shear current at finite depth".JOURNAL OF FLUID MECHANICS 876(2019):55-86.

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