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Statistical Properties of Nonlinear One-dimensional Wave Fields : Volume 12, Issue 5 (30/06/2005)

By Chalikov, D.

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Book Id: WPLBN0004019715
Format Type: PDF Article :
File Size: Pages 19
Reproduction Date: 2015

Title: Statistical Properties of Nonlinear One-dimensional Wave Fields : Volume 12, Issue 5 (30/06/2005)  
Author: Chalikov, D.
Volume: Vol. 12, Issue 5
Language: English
Subject: Science, Nonlinear, Processes
Collections: Periodicals: Journal and Magazine Collection (Contemporary), Copernicus GmbH
Publication Date:
Publisher: Copernicus Gmbh, Göttingen, Germany
Member Page: Copernicus Publications


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Chalikov, D. (2005). Statistical Properties of Nonlinear One-dimensional Wave Fields : Volume 12, Issue 5 (30/06/2005). Retrieved from

Description: Earth System Science Interdisciplinary Center (ESSIC), University of Maryland, College Park, MD 20 742–2465, USA. A numerical model for long-term simulation of gravity surface waves is described. The model is designed as a component of a coupled Wave Boundary Layer/Sea Waves model, for investigation of small-scale dynamic and thermodynamic interactions between the ocean and atmosphere. Statistical properties of nonlinear wave fields are investigated on a basis of direct hydrodynamical modeling of 1-D potential periodic surface waves. The method is based on a nonstationary conformal surface-following coordinate transformation; this approach reduces the principal equations of potential waves to two simple evolutionary equations for the elevation and the velocity potential on the surface. The numerical scheme is based on a Fourier transform method. High accuracy was confirmed by validation of the nonstationary model against known solutions, and by comparison between the results obtained with different resolutions in the horizontal. The scheme allows reproduction of the propagation of steep Stokes waves for thousands of periods with very high accuracy. The method here developed is applied to simulation of the evolution of wave fields with large number of modes for many periods of dominant waves. The statistical characteristics of nonlinear wave fields for waves of different steepness were investigated: spectra, curtosis and skewness, dispersion relation, life time. The prime result is that wave field may be presented as a superposition of linear waves is valid only for small amplitudes. It is shown as well, that nonlinear wave fields are rather a superposition of Stokes waves not linear waves. Potential flow, free surface, conformal mapping, numerical modeling of waves, gravity waves, Stokes waves, breaking waves, freak waves, wind-wave interaction.

Statistical properties of nonlinear one-dimensional wave fields


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