Dynamical cascade generation as a basic mechanism of Benjamin-Feir instability
Institute for Analysis, J. Kepler University - Linz, Austria, EU
2 Tainan Hydraulics Laboratory, the National Cheng Kung University - Tainan, Taiwan
Accepted: 16 June 2011
A novel model of a discretized energy cascade generated by Benjamin-Feir instability is presented. Conditions for appearance of direct and inverse cascades are given explicitly, as well as conditions for stabilization of the wave system due to cascade termination. These results can be used directly for the explanation of the available results of laboratory experiments and as basic forecast scenarios for planned experiments, depending on the frequency of an initially excited mode and the steepness of its amplitude.
PACS: 05.60.-k – Transport processes / 47.85.-g – Applied fluid mechanics / 47.20.-k – Flow instabilities
© EPLA, 2011