| Numerical computations of two-dimensional flexural-gravity solitary waves on water of arbitrary depth | |
Gao T; Vanden-Broeck JM; Wang Z(王展)
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| Source Publication | IMA JOURNAL OF APPLIED MATHEMATICS
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| 2018-06-01 | |
| Volume | 83Issue:3Pages:436-450 |
| ISSN | 0272-4960 |
| Abstract | 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. |
| Keyword | flexural-gravity asymmetric waves solitary waves |
| DOI | 10.1093/imamat/hxy007 |
| URL | 查看原文 |
| Indexed By | SCI ; EI |
| Language | 英语 |
| WOS ID | WOS:000439708000004 |
| WOS Keyword | EXACT EVOLUTION-EQUATIONS ; LARGE-AMPLITUDE BENEATH ; SEA ICE-SHEET ; SURFACE-WAVES ; DEEP-WATER ; FLOATING ICE ; MOVING LOAD ; ELASTIC SHEET ; FINITE-DEPTH ; DYNAMICS |
| WOS Research Area | Mathematics, Applied |
| WOS Subject | Mathematics |
| Funding Organization | 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] |
| Classification | 二类 |
| Ranking | 1 |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/77906 |
| Collection | 流固耦合系统力学重点实验室 |
| Affiliation | 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 |
| 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. |
| Files in This Item: | Download All | |||||
| File Name/Size | DocType | Version | Access | License | ||
| IrJ2018294.pdf（1284KB） | 期刊论文 | 出版稿 | 开放获取 | CC BY-NC-SA | View Download | |
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