On the nonlinear effects due to water wave interaction with a turbulent wind

The nonlinear interaction of a two-dimensional water wave with a turbulent atmospheric boundary layer is investigated, An orthogonal curvilinear coordinate frame, an isotropic model of turbulent viscosity and approximation of aerodynamically smooth surface are used. The analysis is performed in the framework of a qasilinear model for the interaction of the mean wind with the wave field. The amplitude dependencies of the surface wave growth rate and of the additional contribution to the mean wind velocity far apart from the surface are evaluated for a broad range of wavelengths and wind friction velocities. The role of the wind current nonlinearity in the excitation of water waves near the stability threshold is discussed.