Numerical computations of two-dimensional flexural-gravity solitary waves on water of arbitrary depth
文献类型：期刊论文
| 作者 | Gao T; Vanden-Broeck JM; Wang Z(王展)
|
| 刊名 | IMA JOURNAL OF APPLIED MATHEMATICS
 |
| 出版日期 | 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] |
| 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. |
入库方式： OAI收割
来源：力学研究所
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