IMECH-IR  > 流固耦合系统力学重点实验室
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 PublicationJOURNAL OF FLUID MECHANICS
2017
Volume811Pages:622-641
ISSN0022-1120
AbstractIn 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.
KeywordCapillary Waves Surface Gravity Waves Waves/free-surface Flows
DOI10.1017/jfm.2016.751
URL查看原文
Indexed BySCI ; EI
Language英语
WOS IDWOS:000390352200031
WOS Keywordcapillary waves ; surface gravity waves ; waves/free-surface flows
WOS Research AreaMechanics ; Physics
WOS SubjectMechanics ; Physics, Fluids & Plasmas
Funding OrganizationNational Natural Science Foundation of China [11232012] ; Key Research Program of Frontier Sciences, CAS [QYZDB-SSW-SYS015] ; EPSRC [EP/J019569/1]
DepartmentLMFS水环境流体力学(LEM)
Classification一类
Ranking1
Citation statistics
Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/59976
Collection流固耦合系统力学重点实验室
Corresponding AuthorWang, 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.
Files in This Item: Download All
File Name/Size DocType Version Access License
IMCAS-J2016-352.pdf(1727KB)期刊论文作者接受稿开放获取CC BY-NC-SAView Download
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[Gao T]'s Articles
[王展]'s Articles
[Vanden-Broeck JM]'s Articles
Baidu academic
Similar articles in Baidu academic
[Gao T]'s Articles
[王展]'s Articles
[Vanden-Broeck JM]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Gao T]'s Articles
[王展]'s Articles
[Vanden-Broeck JM]'s Articles
Terms of Use
No data!
Social Bookmark/Share
File name: IMCAS-J2016-352.pdf
Format: Adobe PDF
All comments (0)
No comment.
 

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.