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Title: Shoaling of nonlinear steady waves: maximum height and angle of breaking (English)
Author: Franco, Sebastião Romero
Author: Farina, Leandro
Language: English
Journal: Application of Mathematics 2015
Volume: Proceedings. Prague, November 18-21, 2015
Issue: 2015
Pages: 45-62
Category: math
Summary: A Fourier approximation method is used for modeling and simulation of fully nonlinear steady waves. The set of resulting nonlinear equations are solved by Newton's method. The shoaling of waves is simulated based on comparisons with experimental data. The wave heights and the angles of breaking are analysed until the limit of inadequacy of the numerical method. The results appear quite close to those criteria predicted by the theory of completely nonlinear surface waves and contribute to provide information on the study of the relationship between computational modeling and the theory of steady waves. (English)
Keyword: nonlinear water waves
Keyword: steady waves
Keyword: wave shoaling
Keyword: angle of wave breaking
Keyword: maximum wave height
Keyword: spectral method
MSC: 74J30
MSC: 74S25
MSC: 76B15
idZBL: Zbl 06669918
Date available: 2017-02-14T10:22:21Z
Last updated: 2017-03-20
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