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Nonlinear wave profiles of wave–wave interaction in a finite water depth by fixed point approach

Nonlinear wave profiles of wave–wave interaction in a finite water depth by fixed point approach

Authors :
Jang, T.S.
Kwon, S.H.
Choi, H.S.
Source :
Ocean Engineering. Mar2007, Vol. 34 Issue 3/4, p451-459. 9p.
Publication Year :
2007

Abstract

Abstract: In this paper, a superposition of two periodic wave profiles in a finite water depth was investigated. This paper is focused on the improvement of a wave profile on the linear superposition of two waves. This improvement was realized by introducing an iterative method, which was based on a fixed point approach. Application of the fixed point approach to the wave superposition made it possible to obtain a wave profile of wave–wave interaction. The improved result of the wave profile was in good agreement with that of the nonlinear perturbation solution of the second order. It was interesting that the improved result revealed the higher-order nonlinear frequencies for two interacting Stokes waves while Dalzell''s solution by a perturbation method could not predict them. [Copyright &y& Elsevier]

Details

Language :
English
ISSN :
00298018
Volume :
34
Issue :
3/4
Database :
Academic Search Index
Journal :
Ocean Engineering
Publication Type :
Academic Journal
Accession number :
23950620
Full Text :
https://doi.org/10.1016/j.oceaneng.2006.03.009