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Title:
Investigation of symmetry breaking in periodic gravity-capillary waves
Author: Gao T; Wang Z(王展); Vanden-Broeck JM
Source: JOURNAL OF FLUID MECHANICS
Issued Date: 2017
Volume: 811, Pages:622-641
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
Language: 英语
Indexed Type: SCI ; EI
Corresponding Author: Wang, Z (reprint author), Chinese Acad Sci, Inst Mech, Key Lab Mech Fluid Solid Coupling Syst, Beijing, Peoples R China.
Correspondent Email: z.wang5@bath.ac.uk
DOI: 10.1017/jfm.2016.751
Related URLs: 查看原文
DOC Type: 期刊论文
WOS Subject: Mechanics ; Physics, Fluids & Plasmas
WOS Subject Extended: Mechanics ; Physics
WOS Keyword Plus: capillary waves ; surface gravity waves ; waves/free-surface flows
WOS ID: WOS:000390352200031
ISSN: 0022-1120
Funder: National Natural Science Foundation of China [11232012] ; Key Research Program of Frontier Sciences, CAS [QYZDB-SSW-SYS015] ; EPSRC [EP/J019569/1]
Rank: [Gao, T.; Vanden-Broeck, J. -M.] UCL, Dept Math, London WC1E 6BT, England; [Wang, Z.] Chinese Acad Sci, Inst Mech, Key Lab Mech Fluid Solid Coupling Syst, Beijing, Peoples R China; [Wang, Z.] Univ Chinese Acad Sci, Sch Engn Sci, Beijing 110049, Peoples R China
Department: LMFS水环境流体力学(LEM)
Classification: 一类
First Institution (Yes or Not): True
Citation statistics:
Content Type: 期刊论文
URI: http://dspace.imech.ac.cn/handle/311007/59976
Appears in Collections:流固耦合系统力学重点实验室(2012-)_期刊论文

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Recommended Citation:
Gao T,Wang Z,Vanden-Broeck JM. Investigation of symmetry breaking in periodic gravity-capillary waves[J]. JOURNAL OF FLUID MECHANICS,2017-01-01,811:622-641.
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