Interactive modeling of surface waves and boundary layer

A new theoretical approach to investigate the nonlinear wave dynamics and wind-wave interaction is developed on a coupled model of wave boundary layer (WBL) and surface waves dynamics. WBL-model is based on the nonstatic Reynolds equations written in nonstationary conformal surface-following coordinate system in the 2-D domain above an arbitrary periodic moving surface which may be represented by a Fourier series. Closure scheme is based on a full turbulent energy evolution equation. Wave dynamics are simulated based of the equations for potential waves. The solutions for air and water components are coupled at each time step by assimilation of surface pressure (obtained from the boundary layer model) into wave model, and shape of the surface and surface velocity components (obtained from the wave model) into boundary layer model. The method developed may be applied to a broad range of wave dynamics and wind-wave interaction problems where the assumption of two-dimensionality is acceptable.