The Response of Wind Ripples to Long Surface Waves.

Further refinement of the rate of wave amplification by wind has resulted from laboratory measurements and numerical calculations. Calculations of the nonlinear interactions in the capillary-gravity range have been extended. We developed a new comfortable method for description of the nonlinear gravity waves interactions on deep water. A Boltzmanns collision term in the Hasselmanns equation was replaced by a nonlinear diffusive operator. The model equation has the same constants of motion as the exact equation and gives correct expressions for weak turbulent Kolmogorov spectra. A numerical simulation of the new model demostrates a pretty good coincidence with the results of solution of the Hasselmann equation. The new model can be efficiently used in the study of physical mechanisms of air-sea interaction. We studied numerically the weak turbulence of capillary waves on deep water. By a direct solution of the Euler equation in approximation of small angles we found that stationary spectra of capillary waves obey the Kolmogorov law KA.194 which is exact solution of kinetic equation for waves. In situation when the turbulence is realized in finite-size tank there is completely new effect of frozen turbulence which could be realized at very low levels of the excitations of capillary waves. At frozen turbulence regime there is no energy flux from low wavenumbers of pumping toward high wavenumbers of damping.