Numerical modeling of wave development under the action of wind

Abstract

Three-dimensional numerical modeling is performed for development of surface waves under the action of wind. The model is based on equations for potential motion of a fluid with a free surface, which are transformed to a curvilinear system of coordinates where the height is counted from the moving surface. The problem is solved in the doubly periodic domain by the Fourier method with calculation of nonlinearity using a high-resolution mesh (Fourier transform method). The three-dimensional elliptic equation for the velocity potential is solved as the Poisson equation by the marching method with iterations. The energy input from wind and the wave energy dissipation are introduced on the basis of the earlier developed and verified algorithms. The long-period evolution of the three-dimensional flow is demonstrated with the wave surface spectra and energy input and output spectra. The results are compared to the experimental data.