| Investigation of symmetry breaking in periodic gravity-capillary waves | |
| Gao T; Wang Z(王展); Vanden-Broeck JM; Wang, Z (reprint author), Chinese Acad Sci, Inst Mech, Key Lab Mech Fluid Solid Coupling Syst, Beijing, Peoples R China.; Wang, Z (reprint author), Univ Chinese Acad Sci, Sch Engn Sci, Beijing 110049, Peoples R China. | |
| Source Publication | JOURNAL OF FLUID MECHANICS
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| 2017 | |
| Volume | 811Pages:622-641 |
| ISSN | 0022-1120 |
| Abstract | In this paper, fully nonlinear non-symmetric periodic gravity capillary waves propagating at the surface of an inviscid and incompressible fluid are investigated. This problem was pioneered analytically by 7ufiria (J. Fluid Mech., vol. 184, 1987c, pp. 183-206) and numerically by Shimizu & Shoji (Japan J. Ind, Appl. Maths, vol. 29 (2), 2012, pp. 331-353). We use a numerical method based on conformal mapping and series truncation to search for new solutions other than those shown in Zufiria (1987c) and Shimizu & Shoji (2012). It is found that, in the case of infinite-depth, non-symmetric waves with two to seven peaks within one wavelength exist and they all appear via symmetry-breaking bifurcations. Fully exploring these waves by changing the parameters yields the discovery of new types of non-symmetric solutions which form isolated branches without symmetry-breaking points. The existence of non-symmetric waves in water of finite depth is also confirmed, by using the value of the streamfunction at the bottom as the continuation parameter. |
| Keyword | Capillary Waves Surface Gravity Waves Waves/free-surface Flows |
| DOI | 10.1017/jfm.2016.751 |
| URL | 查看原文 |
| Indexed By | SCI ; EI |
| Language | 英语 |
| WOS ID | WOS:000390352200031 |
| WOS Keyword | capillary waves ; surface gravity waves ; waves/free-surface flows |
| WOS Research Area | Mechanics ; Physics |
| WOS Subject | Mechanics ; Physics, Fluids & Plasmas |
| Funding Organization | National Natural Science Foundation of China [11232012] ; Key Research Program of Frontier Sciences, CAS [QYZDB-SSW-SYS015] ; EPSRC [EP/J019569/1] |
| Department | LMFS水环境流体力学(LEM) |
| Classification | 一类 |
| Ranking | 1 |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/59976 |
| Collection | 流固耦合系统力学重点实验室 |
| Corresponding Author | Wang, Z (reprint author), Chinese Acad Sci, Inst Mech, Key Lab Mech Fluid Solid Coupling Syst, Beijing, Peoples R China.; Wang, Z (reprint author), Univ Chinese Acad Sci, Sch Engn Sci, Beijing 110049, Peoples R China. |
| Recommended Citation GB/T 7714 | Gao T,Wang Z,Vanden-Broeck JM,et al. Investigation of symmetry breaking in periodic gravity-capillary waves[J]. JOURNAL OF FLUID MECHANICS,2017,811:622-641. |
| APA | Gao T,王展,Vanden-Broeck JM,Wang, Z ,&Wang, Z .(2017).Investigation of symmetry breaking in periodic gravity-capillary waves.JOURNAL OF FLUID MECHANICS,811,622-641. |
| MLA | Gao T,et al."Investigation of symmetry breaking in periodic gravity-capillary waves".JOURNAL OF FLUID MECHANICS 811(2017):622-641. |
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| IMCAS-J2016-352.pdf（1727KB） | 期刊论文 | 作者接受稿 | 开放获取 | CC BY-NC-SA | View Download | |
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