Discreteness and its effect on water-wave turbulence

@inproceedings{Lvov2006DiscretenessAI,
title={Discreteness and its effect on water-wave turbulence},
author={Yuri V. Lvov and Sergey Nazarenko and B. Pokorni},
year={2006}
}

We perform numerical simulations of the dynamical equations for a free water surface in a finite basin in the presence of gravity. Wave Turbulence (WT) is a theory derived for describing the statistics of weakly nonlinear waves in the infinite basin limit. Its formal applicability condition on the minimal size of the computational basin is impossible to satisfy in present numerical simulations, and the number of wave resonances is significantly depleted due to the wavenumber discreteness. The… CONTINUE READING