Capillary-gravity solitary waves on water of finite depth interacting with a linear shear current

doi:10.1111/sapm.12422

IMECH-IR > 流固耦合系统力学重点实验室

	Capillary-gravity solitary waves on water of finite depth interacting with a linear shear current
	Gao, T.1; Milewski, P. A.2; Wang Z(王展)3,4,5
通讯作者	Wang, Z.(zwang@imech.ac.cn)
发表期刊	STUDIES IN APPLIED MATHEMATICS
	2021-07-06
页码	22
ISSN	0022-2526
摘要	The problem of two-dimensional capillary-gravity waves on an inviscid fluid of finite depth interacting with a linear shear current is considered. The shear current breaks the symmetry of the irrotational problem and supports simultaneously counter-propagating waves of different types: Korteweg de-Vries (KdV)-type long solitary waves and wave-packet solitary waves whose envelopes are associated with the nonlinear Schrodinger equation. A simple intuition for the broken symmetry is that the current modifies the Bond number differently for left- and right-propagating waves. Weakly nonlinear theories are developed in general and for two particular resonant cases: the case of second harmonic resonance and long-wave/short-wave interaction. Traveling-wave solutions and their dynamics in the full Euler equations are computed numerically using a time-dependent conformal mapping technique, and compared to some weakly nonlinear solutions. Additional attention is paid to branches of elevation generalized solitary waves of KdV type: although true embedded solitary waves are not detected on these branches, it is found that periodic wavetrains on their tails can be arbitrarily small as the vorticity increases. Excitation of waves by moving pressure distributions and modulational instabilities of the periodic waves in the resonant cases described above are also examined by the fully nonlinear computations.
关键词	gravity-capillary wave solitary wave water wave
DOI	10.1111/sapm.12422
收录类别	SCI
语种	英语
WOS记录号	WOS:000669895700001
关键词[WOS]	FREE-SURFACE ; INFINITE DEPTH ; DYNAMICS ; FLUID ; STABILITY ; SOLITONS
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
资助项目	National Natural Science Foundation of China[11772341] ; 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 ; Strategic Priority Research Program of the Chinese Academy of Sciences ; EPSRC
论文分区	一类
力学所作者排名	1
RpAuthor	Wang, Z.
引用统计	被引频次：4[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/311007/87017
专题	流固耦合系统力学重点实验室
作者单位	1.Univ Greenwich, Sch Comp & Math Sci, London, England; 2.Univ Bath, Dept Math Sci, Bath, Avon, England; 3.Chinese Acad Sci, Inst Mech, Beijing 100190, Peoples R China; 4.Univ Chinese Acad Sci, Sch Engn Sci, Beijing, Peoples R China; 5.Univ Chinese Acad Sci, Sch Future Technol, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Gao, T.,Milewski, P. A.,Wang Z. Capillary-gravity solitary waves on water of finite depth interacting with a linear shear current[J]. STUDIES IN APPLIED MATHEMATICS,2021:22.
APA	Gao, T.,Milewski, P. A.,&王展.(2021).Capillary-gravity solitary waves on water of finite depth interacting with a linear shear current.STUDIES IN APPLIED MATHEMATICS,22.
MLA	Gao, T.,et al."Capillary-gravity solitary waves on water of finite depth interacting with a linear shear current".STUDIES IN APPLIED MATHEMATICS (2021):22.

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