Titlebook: Numerical Modeling of Sea Waves; Dmitry V. Chalikov Book 2016 Springer International Publishing Switzerland 2016 Benjamin-Feir instability

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Three-Dimensional Modeling of Potential Waves,housands of degrees of freedom for hundreds of wave periods. The scheme is designed for investigation of nonlinear two-dimensional surface waves, generation of extreme waves, and direct calculations of nonlinear interactions.

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earch.Provides novel results which are illuminated by illustPresenting a novel approach to wave theory, this book applies mathematical modeling to the investigation of sea waves. It presents problems, solutions and methods, and explores issues such as statistical properties of sea waves, generation

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Two-Dimensional Wave Modeling Based on Conformal Mapping,eak if the initial amplitudes are sufficiently large. The interaction of two monochromatic waves at water surface enters a different dynamic regime if their wave numbers become very close. In the course of evolution of two waves, downshifting of the initial wave energy and growth of the first mode o

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Statistical Properties of One-Dimensional Waves,. The statistical characteristics of a nonlinear wave field for the waves with different steepness have been investigated: spectra, curtosis and skewness, dispersion relation, and lifetime. The main result that wave field can be presented as a superposition of linear waves is valid just for small am

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Nonlinear Interaction in One-Dimensional Wave Field, one of the waves increases its height and finally comes to a breaking point. For the large steepness ., the rate of growth is slower than for medium steepness, but it does not turn to zero, as it was predicted by McLean (J Fluid Mech 114:315–330, 1982) on the basis of linearized equations for distu

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Modeling of Extreme Waves,es by a strong concentration of wave energy around a peak vertical. It is taking place typically for one peak wave period. It happens to an individual wave in a physical space, no energy exchange with surrounding waves taking place. Probability function for steep waves has been constructed. Such typ

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One-Dimensional Modeling of the WBL,ting the input and dissipation of wave energy are implemented. The wind input is calculated on the basis of the parameterization developed through the coupled modeling of waves and turbulent boundary layer. The wave dissipation algorithm, introduced to prevent wave breaking instability, is based on

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