Numerical Modeling of Wind–Wave Interaction

Abstract

The description of a coupled wind and wave model in conformal coordinates is given. The wave model is based on potential equations for the flow with a free surface, extended with the algorithm of breaking dissipation. The wave boundary layer (WBL) model is based on the Reynolds equations with the K–ε closure scheme with the solutions for air and water matched through the interface. The structure of the WBL and vertical profiles of the wave-produced momentum flux (WPMF) in a long-term simulation of the coupled dynamics is investigated and parameterized. The shape of the $\beta$ function connecting elevation and surface pressure is studied up to high non-dimensional wave frequencies. The errors of a linear presentation of the surface pressure are estimated.