Nonlinear hydroelastic waves on a linear shear current at finite depth
文献类型：期刊论文
| 作者 | Gao T; Wang Z(王展) ; Milewski PA
|
| 刊名 | JOURNAL OF FLUID MECHANICS
 |
| 出版日期 | 2019-10-10 |
| 卷号 | 876页码:55-86 |
| 关键词 | shear waves solitary waves surface gravity waves |
| ISSN号 | 0022-1120 |
| DOI | 10.1017/jfm.2019.528 |
| 通讯作者 | Wang, Z.(zwang@imech.ac.cn) |
| 英文摘要 | This work is concerned with waves propagating on water of finite depth with a constant-vorticity current under a deformable flexible sheet. The pressure exerted by the sheet is modelled by using the Cosserat thin shell theory. By means of multi-scale analysis, small amplitude nonlinear modulation equations in several regimes are considered, including the nonlinear Schrodinger equation (NLS) which is used to predict the existence of small-amplitude wavepacket solitary waves in the full Euler equations and to study the modulational instability of quasi-monochromatic wavetrains. Guided by these weakly nonlinear results, fully nonlinear steady and time-dependent computations are performed by employing a conformal mapping technique. Bifurcation mechanisms and typical profiles of solitary waves for different underlying shear currents are presented in detail. It is shown that even when small-amplitude solitary waves are not predicted by the weakly nonlinear theory, we can numerically find large-amplitude solitary waves in the fully nonlinear equations. Time-dependent simulations are carried out to confirm the modulational stability results and illustrate possible outcomes of the nonlinear evolution in unstable cases. |
| 分类号 | 一类/力学重要期刊 |
| WOS关键词 | FLEXURAL-GRAVITY-WAVES ; LOADED ELASTIC PLATE ; SEA ICE-SHEET ; SOLITARY WAVES ; WATER-WAVES ; DEEP-WATER ; SURFACE-WAVES ; STABILITY ; AMPLITUDE ; COMPUTATIONS |
| 资助项目 | National Natural Science Foundation of China[11772341] ; Key Research Program of Frontier Sciences, CAS[QYZDBSSW-SYS015] ; Strategic Priority Research Program of the Chinese Academy of Sciences[XDB22040203] ; EPSRC[EP/N018176/1] |
| WOS研究方向 | Mechanics ; Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000477951600001 |
| 资助机构 | National Natural Science Foundation of China ; Key Research Program of Frontier Sciences, CAS ; Strategic Priority Research Program of the Chinese Academy of Sciences ; EPSRC |
| 其他责任者 | Wang, Z. |
| 源URL | [http://dspace.imech.ac.cn/handle/311007/79485]  |
| 专题 | 力学研究所_流固耦合系统力学重点实验室(2012-) |
| 推荐引用方式 GB/T 7714 | Gao T,Wang Z,Milewski PA. Nonlinear hydroelastic waves on a linear shear current at finite depth[J]. JOURNAL OF FLUID MECHANICS,2019,876:55-86. |
| APA | Gao T,王展,&Milewski PA.(2019).Nonlinear hydroelastic waves on a linear shear current at finite depth.JOURNAL OF FLUID MECHANICS,876,55-86. |
| MLA | Gao T,et al."Nonlinear hydroelastic waves on a linear shear current at finite depth".JOURNAL OF FLUID MECHANICS 876(2019):55-86. |
入库方式： OAI收割
来源：力学研究所
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