Numerical computations of two-dimensional flexural-gravity solitary waves on water of arbitrary depth

doi:10.1093/imamat/hxy007

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-)

	Numerical computations of two-dimensional flexural-gravity solitary waves on water of arbitrary depth
	Gao T ; Vanden-Broeck JM ; Wang Z(王展)
刊名	IMA JOURNAL OF APPLIED MATHEMATICS
	2018-06-01
卷号	83 期号:3 页码:436-450
关键词	flexural-gravity asymmetric waves solitary waves
ISSN号	0272-4960
DOI	10.1093/imamat/hxy007
英文摘要	This work is concerned with flexural-gravity solitary waves on water of finite depth. The deformation of the elastic sheet is modelled based on the Cosserat theory of hyperelastic shells satisfying Kirchhoff's hypotheses. Both steady and unsteady waves are computed numerically for the full Euler equations by using a conformalmapping technique. Complete bifurcation diagrams of solitary waves are presented, and various dynamical experiments, including the evolution of unstable solitary waves and the generation of stable ones, are carried out via direct time-dependent simulations. In particular, we show that generalized solitary waves can also be excited by moving loads on the elastic cover.
分类号	二类
URL标识	查看原文
WOS关键词	EXACT EVOLUTION-EQUATIONS ; LARGE-AMPLITUDE BENEATH ; SEA ICE-SHEET ; SURFACE-WAVES ; DEEP-WATER ; FLOATING ICE ; MOVING LOAD ; ELASTIC SHEET ; FINITE-DEPTH ; DYNAMICS
WOS研究方向	Mathematics, Applied
语种	英语
WOS记录号	WOS:000439708000004
资助机构	EPSRC [EP/N018559/1] ; National Natural Science Foundation of China [11772341] ; Key Research Program of Frontier Sciences, CAS [QYZDB-SSW-SYS015] ; Chinese Academy of Sciences [XDB22040203]
内容类型	期刊论文
源URL	[http://dspace.imech.ac.cn/handle/311007/77906]
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 Bath, Dept Math Sci, Bath BA2 7AY, Avon, England 2.UCL, Dept Math, London WC1E 6BT, England 3.Chinese Acad Sci, Inst Mech, Beijing 100190, Peoples R China 4.Univ Chinese Acad Sci, Sch Engn Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Gao T,Vanden-Broeck JM,Wang Z. Numerical computations of two-dimensional flexural-gravity solitary waves on water of arbitrary depth[J]. IMA JOURNAL OF APPLIED MATHEMATICS,2018,83(3):436-450.
APA	Gao T,Vanden-Broeck JM,&王展.(2018).Numerical computations of two-dimensional flexural-gravity solitary waves on water of arbitrary depth.IMA JOURNAL OF APPLIED MATHEMATICS,83(3),436-450.
MLA	Gao T,et al."Numerical computations of two-dimensional flexural-gravity solitary waves on water of arbitrary depth".IMA JOURNAL OF APPLIED MATHEMATICS 83.3(2018):436-450.