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Nonlinear Behaviour of Sea Surface Waves Based on Low-Gradient Phase-Only Scattering Effects
Blackledge, Jonathan; Coyle, Eugene; Kearney, Derek
Nonlinear sea waves generated by the wind, including freak waves, are considered to be phenomena that can be modelled using the nonlinear (cubic) Schrodinger equation, for example. However, there is a problem with this approach which is that sea surface waves, driven by wind speeds of varying strength, must be considered to be composed of two distinct types, namely, linear waves and nonlinear waves. In this paper, we consider a different approach to modelling ‘nonlinear’ waves that is based on a solution to the linear wave equation under a low-gradient, phase-only condition. This approach is entirely compatible with the fluid equations of motion (the Navier-Stokes equations) and is thereby not based on a phenomenological model such as the nonlinear Schr¨odinger equation.
Keyword(s): Scattering Effects; Waves; Dynamic Systems; Non-linear Dynamics; Other Oceanography and Atmospheric Sciences and Meteorology
Publication Date:
2011
Type: Conference item
Peer-Reviewed: Unknown
Institution: Dublin Institute of Technology
Citation(s): Conference papers
Publisher(s): Dublin Institute of Technology
File Format(s): application/pdf
First Indexed: 2011-01-26 05:39:02 Last Updated: 2017-12-14 06:48:47