The equilibrium range cascades of wind-generated waves

It was established theoretically by Zakharov and Filonenko (1966) that the direct cascade region of the equilibrium range of the spectrum should follo w an f(-4) variation. This has since been verified from experimental data, by Toba (1973), Donelan et al (1985) and others. In this study we present a numerical verification of this f(-4) variation, assuming physically realis tic parameterizations for nonlinear wave-wave interactions, S-nl, for energ y input to waves by the wind, S-in and removed by wave - breaking dissipati on, S-ds (C) Elsevier, Paris.