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Numerical computations of two-dimensional flexural-gravity solitary waves on water of arbitrary depth
Gao T; Vanden-Broeck JM; Wang Z(王展)
2018-06-01
发表期刊IMA JOURNAL OF APPLIED MATHEMATICS
卷号83期号:3页码:436-450
ISSN0272-4960
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.
关键词flexural-gravity asymmetric waves solitary waves
DOI10.1093/imamat/hxy007
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收录类别SCI ; EI
语种英语
WOS记录号WOS:000439708000004
关键词[WOS]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
WOS类目Mathematics
项目资助者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]
论文分区二类
力学所作者排名1
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文献类型期刊论文
条目标识符http://dspace.imech.ac.cn/handle/311007/77906
专题流固耦合系统力学重点实验室
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
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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.
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