| Nonlinear hydroelastic waves on a linear shear current at finite depth | |
Gao T; Wang Z(王展) ; Milewski PA
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| Corresponding Author | Wang, Z.([email protected]) |
| Source Publication | JOURNAL OF FLUID MECHANICS
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| 2019-10-10 | |
| Volume | 876Pages:55-86 |
| ISSN | 0022-1120 |
| Abstract | 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. |
| Keyword | shear waves solitary waves surface gravity waves |
| DOI | 10.1017/jfm.2019.528 |
| Indexed By | SCI ; EI |
| Language | 英语 |
| WOS ID | WOS:000477951600001 |
| WOS Keyword | FLEXURAL-GRAVITY-WAVES ; LOADED ELASTIC PLATE ; SEA ICE-SHEET ; SOLITARY WAVES ; WATER-WAVES ; DEEP-WATER ; SURFACE-WAVES ; STABILITY ; AMPLITUDE ; COMPUTATIONS |
| WOS Research Area | Mechanics ; Physics |
| WOS Subject | Mechanics ; Physics, Fluids & Plasmas |
| Funding Project | 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] |
| Funding Organization | National Natural Science Foundation of China ; Key Research Program of Frontier Sciences, CAS ; Strategic Priority Research Program of the Chinese Academy of Sciences ; EPSRC |
| Classification | 一类/力学重要期刊 |
| Ranking | 1 |
| Contributor | Wang, Z. |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/79485 |
| Collection | 流固耦合系统力学重点实验室 |
| Recommended Citation 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.Rp_Au:Wang, Z. |
| 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. |
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| File Name/Size | DocType | Version | Access | License | ||
| Jp2019224.pdf（1275KB） | 期刊论文 | 出版稿 | 开放获取 | CC BY-NC-SA | View Download | |
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