| Dynamics of interfacial gravity-capillary waves in three-dimensional fluids of great depth | |
Li HY(李海艳)1,2 ; Wang Z(王展)1,2,3
| |
| Corresponding Author | Wang, Zhan([email protected]) |
| Source Publication | COMPUTERS & FLUIDS
 |
| 2021-12-15 | |
| Volume | 231Pages:13 |
| ISSN | 0045-7930 |
| Abstract | This paper proposes a new isotropic bidirectional model for weakly nonlinear gravity-capillary waves propagating between two incompressible, inviscid, and immiscible fluids of different densities. The newly developed equation is a generalization of the celebrated two-dimensional Benjamin equation. It is derived based on the nonlocal formulation of water wave (i.e., the Ablowitz-Fokas-Musslimani formulation) and computed with the modified exponential time-differencing method. It is found that horizontally two-dimensional, fully localized traveling waves (known as lumps) exist in the model equation, and plane solitary waves are unstable subject to long transverse perturbations, which evolve into groups of lumps in the long-term dynamics. When considering topographical disturbances on the rigid upper boundary, the nonlinear effect becomes important when a uniform flow passes beneath a locally confined topography with a near-critical speed, and the phenomenon of time-periodic shedding of lumps occurs. Unlike the near-critical situation, the subcritical flows usually generate steady elevation waves, while the supercritical ones produce a V-shaped pattern of wake lines. Furthermore, it is shown that a uniformly accelerated motion can also generate lumps provided that the flow stays in the transcritical regime for a considerably long time. |
| Keyword | Isotropic model ETD Interfacial wave Capillary-gravity wave |
| DOI | 10.1016/j.compfluid.2021.105151 |
| Indexed By | SCI ; EI |
| Language | 英语 |
| WOS ID | WOS:000708699100005 |
| WOS Keyword | SOLITARY WAVES ; WATER ; GENERATION |
| WOS Research Area | Computer Science ; Mechanics |
| WOS Subject | Computer Science, Interdisciplinary Applications ; Mechanics |
| Funding Project | National Natural Science Foun-dation of China[11911530171] ; National Natural Science Foun-dation of China[11772341] ; National Natural Science Foun-dation of China[12132018] ; Strategic Priority Research Program of the Chinese Academy of Sciences[XDB22040203] |
| Funding Organization | National Natural Science Foun-dation of China ; Strategic Priority Research Program of the Chinese Academy of Sciences |
| Classification | 二类 |
| Ranking | 1 |
| Contributor | Wang, Zhan |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/87632 |
| Collection | 流固耦合系统力学重点实验室 |
| Affiliation | 1.Chinese Acad Sci, Inst Mech, Beijing 100190, Peoples R China; 2.Univ Chinese Acad Sci, Sch Engn Sci, Beijing 100049, Peoples R China; 3.Univ Chinese Acad Sci, Sch Future Technol, Beijing 100049, Peoples R China |
| Recommended Citation GB/T 7714 | Li HY,Wang Z. Dynamics of interfacial gravity-capillary waves in three-dimensional fluids of great depth[J]. COMPUTERS & FLUIDS,2021,231:13.Rp_Au:Wang, Zhan |
| APA | 李海艳,&王展.(2021).Dynamics of interfacial gravity-capillary waves in three-dimensional fluids of great depth.COMPUTERS & FLUIDS,231,13. |
| MLA | 李海艳,et al."Dynamics of interfacial gravity-capillary waves in three-dimensional fluids of great depth".COMPUTERS & FLUIDS 231(2021):13. |
| Files in This Item: | Download All | |||||
| File Name/Size | DocType | Version | Access | License | ||
| Jp2021F533.pdf（1679KB） | 期刊论文 | 出版稿 | 开放获取 | CC BY-NC-SA | View Download | |
Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.
Edit Comment