Resonant interactions of nonlinear water waves in a finite basin

E. Kartashova, S. Nazarenko, O. Rudenko

    Research output: Contribution to journalArticleAcademicpeer-review

    19 Citations (Scopus)
    85 Downloads (Pure)

    Abstract

    We study exact four-wave resonances among gravity water waves in a square box with periodic boundary conditions. We show that these resonant quartets are linked with each other by shared Fourier modes in such a way that they form independent clusters. These clusters can be formed by two types of quartets: (1) Angle resonances which cannot directly cascade energy but which can redistribute it among the initially excited modes and (2) scale resonances which are much more rare but which are the only ones that can transfer energy between different scales. We find such resonant quartets and their clusters numerically on the set of 1000×1000 modes, classify and quantify them and discuss consequences of the obtained cluster structure for the wave-field evolution. Finite box effects and associated resonant interaction among discrete wave modes appear to be important in most numerical and laboratory experiments on the deep water gravity waves, and our work is aimed at aiding the interpretation of the experimental and numerical data.
    Original languageEnglish
    Article number016304
    Pages (from-to)016304-1/9
    JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
    Volume78
    Issue number1
    DOIs
    Publication statusPublished - 2008

    Fingerprint Dive into the research topics of 'Resonant interactions of nonlinear water waves in a finite basin'. Together they form a unique fingerprint.

    Cite this