Amplification of nonlinear surface waves by wind

Journal Article · Mon Oct 15 00:00:00 EDT 2007 · Physics of Fluids (1994)

DOI:https://doi.org/10.1063/1.2786002· OSTI ID:21013583

Leblanc, Stephane ^[1]

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1. LSEET/CNRS, University of Toulon, F-83957 La Garde Cedex (France)

A weakly nonlinear analysis is conducted to study the evolution of slowly varying wavepackets with small but finite amplitudes, that evolve at the interface between air and water under the effect of wind. In the inviscid assumption, wave envelopes are governed by cubic nonlinear Schroedinger or Davey-Stewartson equations forced by a linear term corresponding to Miles' mechanism of wave generation. Under fair wind, it is shown that Stokes waves grow exponentially and that Benjamin-Feir instability becomes explosive.

• OSTI ID: 21013583
• Journal Information: Physics of Fluids (1994), Vol. 19, Issue 10; Other Information: DOI: 10.1063/1.2786002; (c) 2007 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 1070-6631
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
AIR
AMPLIFICATION
EVOLUTION
INSTABILITY
NONLINEAR PROBLEMS
SCHROEDINGER EQUATION
WATER
WAVE PACKETS
WAVE PROPAGATION
WIND