Weakly turbulent laws of wind-wave growth

Abstract

The theory of weak turbulence developed for wind-driven waves in theoretical works and in recent extensive numerical studies concludes that non-dimensional features of self-similar wave growth (i.e. wave energy and characteristic frequency) have to be scaled by internal wave-field properties (fluxes of energy, momentum or wave action) rather than by external attributes (e.g. wind speed) which have been widely adopted since the 1960s. Based on the hypothesis of dominant nonlinear transfer, an asymptotic weakly turbulent relation for the total energy ε and a characteristic wave frequency ω* was derived ε ω*4/g2 = αss (ω*3 dε/dt/g2)1/3. The self-similarity parameter αss was found in the numeric..