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

doi:10.1111/sapm.12422

CORC > 力学研究所 > 中国科学院力学研究所 > 流固耦合系统力学重点实验室(2012-)

	Capillary-gravity solitary waves on water of finite depth interacting with a linear shear current
	Gao, T.5; Milewski, P. A.4; Wang Z(王展)1,2,3
刊名	STUDIES IN APPLIED MATHEMATICS
	2021-07-06
页码	22
关键词	gravity-capillary wave solitary wave water wave
ISSN号	0022-2526
DOI	10.1111/sapm.12422
通讯作者	Wang, Z.(zwang@imech.ac.cn)
英文摘要	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.
分类号	一类
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]
WOS关键词	FREE-SURFACE ; INFINITE DEPTH ; DYNAMICS ; FLUID ; STABILITY ; SOLITONS
WOS研究方向	Mathematics
语种	英语
WOS记录号	WOS:000669895700001
资助机构	National Natural Science Foundation of China ; Strategic Priority Research Program of the Chinese Academy of Sciences ; EPSRC
其他责任者	Wang, Z.
内容类型	期刊论文
源URL	[http://dspace.imech.ac.cn/handle/311007/87016]
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.Univ Chinese Acad Sci, Sch Future Technol, Beijing, Peoples R China 2.Univ Chinese Acad Sci, Sch Engn Sci, Beijing, Peoples R China; 3.Chinese Acad Sci, Inst Mech, Beijing 100190, Peoples R China; 4.Univ Bath, Dept Math Sci, Bath, Avon, England; 5.Univ Greenwich, Sch Comp & Math Sci, London, England;
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.