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Nonlinear Processes in Geophysics An interactive open-access journal of the European Geosciences Union
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Volume 15, issue 6
Nonlin. Processes Geophys., 15, 1023-1031, 2008
https://doi.org/10.5194/npg-15-1023-2008
© Author(s) 2008. This work is distributed under
the Creative Commons Attribution 3.0 License.

Special issue: Extreme surface and internal waves

Nonlin. Processes Geophys., 15, 1023-1031, 2008
https://doi.org/10.5194/npg-15-1023-2008
© Author(s) 2008. This work is distributed under
the Creative Commons Attribution 3.0 License.

  16 Dec 2008

16 Dec 2008

On the interaction of wind and steep gravity wave groups using Miles' and Jeffreys' mechanisms

J. Touboul1, C. Kharif2, E. Pelinovsky3, and J.-P. Giovanangeli2 J. Touboul et al.
  • 1Laboratoire de Sondages Electromagnétiques de l'Environnement Terrestre, Toulon, France
  • 2Institut de Recherche sur les Phénomènes Hors Equilibre, Marseille, France
  • 3Institute of Applied Physics, Nizhny Novgorod, Russia

Abstract. The interaction of wind and water wave groups is investigated theoretically and numerically. A steep wave train is generated by means of dispersive focusing, using both the linear theory and fully nonlinear equations. The linear theory is based on the Schrödinger equation while the nonlinear approach is developed numerically within the framework of the potential theory. The interaction between the chirped wave packet and wind is described by the Miles' mechanism. The differences between both approaches are discussed, and the influence of nonlinearity is emphasized. Furthermore, a different mechanism is considered, described by the modified Jeffreys' sheltering theory. From comparison between the two mechanisms, it is found that the persistence of the steep wave group depends on the physical model used, and is significantly increased when we use the latter mechanism.

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