THEORY OF INTERACTION OF GRAVITY WAVES WITH HYDRODYNAMIC TURBULENCE

One of the practical problems in atmospheric and ocean dynamics is the study of the effect of vortex turbulence on the propagation of various types of waves, including surface waves, sound, and internal waves. This paper continues the study of vortex-wave turbulence with a particular focus on the interaction of gravity waves with vortices, emphasizing the unique features of surface waves in deep water and their dispersive nature. The logarithmic decrement for gravity waves propagating on the surface of a turbulent liquid was derived using a computed matrix of interaction coefficients. Additionally, estimates for the characteristic phase correlation time and the time for the wave field to become isotropic under elastic scattering were obtained. The diffusion approximation was utilized to analyze the impact of inelastic scattering on the evolution of isotropic wave packets as a function of frequency. The applicability limits of kinetic equations for describing the mutual interaction of gravity waves in a turbulent medium were clarified. All analyses were performed within a unified formal scheme, specifically using the Wyld diagram technique.