IMECH-IR  > 流固耦合系统力学重点实验室
Numerical computations of two-dimensional flexural-gravity solitary waves on water of arbitrary depth
Gao T; Vanden-Broeck JM; Wang Z(王展)
Source PublicationIMA JOURNAL OF APPLIED MATHEMATICS
2018-06-01
Volume83Issue:3Pages:436-450
ISSN0272-4960
AbstractThis 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.
Keywordflexural-gravity asymmetric waves solitary waves
DOI10.1093/imamat/hxy007
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Indexed BySCI ; EI
Language英语
WOS IDWOS:000439708000004
WOS KeywordEXACT EVOLUTION-EQUATIONS ; LARGE-AMPLITUDE BENEATH ; SEA ICE-SHEET ; SURFACE-WAVES ; DEEP-WATER ; FLOATING ICE ; MOVING LOAD ; ELASTIC SHEET ; FINITE-DEPTH ; DYNAMICS
WOS Research AreaMathematics, Applied
WOS SubjectMathematics
Funding OrganizationEPSRC [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]
Classification二类
Ranking1
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Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/77906
Collection流固耦合系统力学重点实验室
Affiliation1.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
Recommended Citation
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.
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