Freely decaying weak turbulence for sea surface gravity waves

Abstract

We study numerically the generation of power laws in the framework of weak turbulence theory for surface gravity waves in deep water. Starting from a random wave field, we let the system evolve numerically according to the nonlinear Euler equations for gravity waves in infinitely deep water. In agreement with the theory of Zakharov and Filonenko, we find the formation of a power spectrum characterized by a power law of the form of $|\mathbf{k}{|}^{-2.5}$.

4 pages, 3 figures

References in corpus (3)

• Extreme Wave Events in Directional, Random Oceanic Sea States
• Hamiltonian formalism and the Garrett-Munk spectrum of internal waves in the ocean
• Nonlocal bottleneck effect in two-dimensional turbulence

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