On the universal third order Stokes wave solution

Song, ZhiYao, Zhao, HongJun, Li, Ling and Lu, GuoNian (2013) On the universal third order Stokes wave solution. Science China Earth Sciences, 56 1: 102-114. doi:10.1007/s11430-012-4523-z

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Author Song, ZhiYao
Zhao, HongJun
Li, Ling
Lu, GuoNian
Title On the universal third order Stokes wave solution
Journal name Science China Earth Sciences
ISSN 1674-7313
Publication date 2013-01
Year available 2012
Sub-type Article (original research)
DOI 10.1007/s11430-012-4523-z
Volume 56
Issue 1
Start page 102
End page 114
Total pages 13
Place of publication Beijing, China
Publisher Zhongguo Kexue Zazhishe
Collection year 2013
Language eng
Abstract This paper presents a universal third-order Stokes solution with uniform current. This solution is derived on the basis of potential theory by expanding the free surface and potential function in Fourier series and determining the Fourier coefficients by solving a set of nonlinear algebraic equations through the Taylor expansion and perturbation method. The universal solution is expressed upon the still water depth with the still water level as datum and retains a global perturbation parameter. The wave set-up term generated by the self-interaction of oscillatory waves is explicitly included in the free surface function. With the use of different definitions for the wave celerity, different water levels as the datum, different non-dimensional variables as the perturbation parameter, and different treatments for the total head, the universal solution can be reduced to the existing various Stokes solutions, thus explaining the reasons and the physical significance of different non-periodic terms in them, such as the positive or negative constant term in the free surface expression and the time- or space-proportional term in the potential function.
Keyword Universal Stokes wave solution
Uniform current
Global perturbation parameter
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status UQ
Additional Notes Published online September 21, 2012

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Civil Engineering Publications
Official 2013 Collection
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Citation counts: TR Web of Science Citation Count  Cited 2 times in Thomson Reuters Web of Science Article | Citations
Scopus Citation Count Cited 1 times in Scopus Article | Citations
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