The nonlinear excitation of synchronous edge waves by a monochromatic wave normally approaching a plane beach-Reference-Cited by-同舟云学术

The nonlinear excitation of synchronous edge waves by a monochromatic wave normally approaching a plane beach

Published:1995-10-25 Issue: Volume:301 Page:251-268
ISSN:0022-1120
Container-title:Journal of Fluid Mechanics
language:en
Short-container-title:J. Fluid Mech.

Author:

Blondeaux P.,Vittori G.

Abstract

The possible excitation of synchronous edge waves by a monocromatic wave normally approaching a plane beach is studied. Use is made of the full three-dimensional water wave theory but only beach angles β = π/(2N), where N is an integer, are considered. A weakly nonlinear stability analysis is used to investigate the interaction of subharmonic, synchronous and 3/2-frequency edge waves with the incoming wave field. It is shown that values of β exist for which an energy transfer from the incoming wave to the synchronous edge waves takes place through the intermediary of the subharmonic components.

Publisher

Cambridge University Press (CUP)

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference15 articles.

1. Simmons, W. F. 1969 A variational method for weak resonant wave interactions.Proc. R. Soc. Lond. A309,551–579.

2. Rockliff, N. 1978 Finite amplitude effect in free and forced edge waves.Math. Proc. Camb. Phil. Soc. 83,463–479.

3. Miles, J. W. & Henderson, D. 1990 Parametrically forced surface waves.Ann. Rev. Fluid Mech. 22,143–146.

4. Stokes, G. G. 1846 Report on recent researchers in hydrodynamics. Brit. Assoc. Rep. Part 1, 1.

5. Guza, R. T. & Bowen, A. J. 1976 Finite amplitude edge waves.J. Mar. Res. 34,269–293.

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