Hydroelastic lumps in shallow water

doi:10.1016/j.physd.2022.133200

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-)

	Hydroelastic lumps in shallow water
	Meng, Yanghan 2,3; Wang, Zhan 1,2,3
刊名	PHYSICA D-NONLINEAR PHENOMENA
	2022-06-01
卷号	434 页码:14
关键词	Hydroelastic wave Lump Free-surface flow
ISSN号	0167-2789
DOI	10.1016/j.physd.2022.133200
通讯作者	Wang, Zhan(zwang@imech.ac.cn)
英文摘要	Hydroelastic solitary waves propagating on the surface of a three-dimensional ideal fluid through the deformation of an elastic sheet are studied. The problem is investigated based on a Benney-Luke-type equation derived via an explicit non-local formulation of the classic water wave problem. The normal form analysis is carried out for the newly developed equation, which results in the Benney-Roskes-Davey-Stewartson (BRDS) system governing the coupled evolution of the envelope of a carrier wave and the wave-induced mean flow. Numerical results show three types of free solitary waves in the Benney-Luke-type equation all of which are predicted by the BRDS system: plane solitary wave, lump (i.e., fully localized traveling waves in three dimensions), and transversally periodic solitary wave. They are linked together by a dimension-breaking bifurcation where plane solitary waves and lumps can be viewed as two limiting cases, and transversally periodic solitary waves serve as intermediate states. The stability and interaction of solitary waves are investigated via a numerical time integration of the Benney-Luke-type equation. For a localized load moving on the elastic sheet with a constant speed, it is found that there exists a transcritical regime of forcing speed for which there are no steady solutions. Instead, periodic shedding of lumps can be observed if the forcing moves at speed in this range. (C) 2022 Elsevier B.V. All rights reserved.
资助项目	Key Research Program of Frontier Sciences of CAS, China[QYZDB-SSW-SYS015] ; Strategic Priority Research Program of CAS, China[XDB22040203]
WOS关键词	CAPILLARY SOLITARY WAVES ; FLOATING ICE ; GENERATION ; EXISTENCE ; SOLITONS ; EQUATION ; COVER ; SHEET
WOS研究方向	Mathematics ; Physics
语种	英语
WOS记录号	WOS:000808613100001
资助机构	Key Research Program of Frontier Sciences of CAS, China ; Strategic Priority Research Program of CAS, China
内容类型	期刊论文
源URL	[http://dspace.imech.ac.cn/handle/311007/89306]
专题	力学研究所_流固耦合系统力学重点实验室(2012-)
通讯作者	Wang, Zhan
作者单位	1.Univ Chinese Acad Sci, Sch Future Technol, Beijing 100049, Peoples R China 2.Univ Chinese Acad Sci, Sch Engn Sci, Beijing 100049, Peoples R China 3.Chinese Acad Sci, Inst Mech, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Meng, Yanghan,Wang, Zhan. Hydroelastic lumps in shallow water[J]. PHYSICA D-NONLINEAR PHENOMENA,2022,434:14.
APA	Meng, Yanghan,&Wang, Zhan.(2022).Hydroelastic lumps in shallow water.PHYSICA D-NONLINEAR PHENOMENA,434,14.
MLA	Meng, Yanghan,et al."Hydroelastic lumps in shallow water".PHYSICA D-NONLINEAR PHENOMENA 434(2022):14.