On the phase velocity effect of nonlinear interactions between surface gravity waves
Abstract
The change of phase velocity of a train of surface gravity waves due to nonlinear interaction with another train of surface gravity waves is investigated. Three different expressions for the change of phase velocity have been derived from Zakharovtype equations, and it is confirmed that all these expressions are equivalent with each other, as well as with the classical result of LonguetHiggins and Phillips. The theory for the interaction between two wave trains is also extended naively to that among component waves in a continuous energy spectrum, and the validity of this extension is assessed by comparing with direct numerical simulations based on the primitive equations.
 Publication:

Physics of Fluids
 Pub Date:
 July 2002
 DOI:
 10.1063/1.1481742
 Bibcode:
 2002PhFl...14.2109T
 Keywords:

 surface waves (fluid);
 gravity waves;
 velocity;
 Gravitational Effects;
 Gravity Waves;
 Liquid Surfaces;
 Phase Velocity;
 Surface Waves;
 Velocity;
 47.35.+i;
 Fluid Mechanics and Thermodynamics