On the Transversal Instability of a Coupled Wind-Wave System at the Initial Stage of Wave Growth

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  • 1 Institute of Applied Physics, Russian Academy of Sciences, Nizhni Novgorod, Russia
  • | 2 Department of Oceanography, KNMI, De Bilt, the Netherlands
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Abstract

The evolution of the growing surface waves having a nonuniform transversal structure is discussed using the semiempirical equation for wind velocity profile in two dimensions and the expression suggested by Plant and Wright for the initial growth rate of waves. Positive feedback has been found in the coupled wind-wave system, leading to an algebraic growth of a weak transversal modulation of the wave field.

Abstract

The evolution of the growing surface waves having a nonuniform transversal structure is discussed using the semiempirical equation for wind velocity profile in two dimensions and the expression suggested by Plant and Wright for the initial growth rate of waves. Positive feedback has been found in the coupled wind-wave system, leading to an algebraic growth of a weak transversal modulation of the wave field.

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