Numerical modeling of surface wave development under the action of wind.

The numerical modeling of two-dimensional surface wave development under the action of wind is performed. The model is based on three-dimensional equations of potential motion with a free surface written in a surfacefollowing nonorthogonal curvilinear coordinate system in which depth is counted from a moving surface. A threedimensional Poisson equation for the velocity potential is solved iteratively. A Fourier transform method, a secondorder accuracy approximation of vertical derivatives on a stretched vertical grid and fourth-order Runge-Kutta time stepping are used. Both the input energy to waves and dissipation of wave energy are calculated on the basis of earlier developed and validated algorithms. A one-processor version of the model for PC allows us to simulate an evolution of the wave field with thousands of degrees of freedom over thousands of wave periods. A long-time evolution of a twodimensional wave structure is illustrated by the spectra of wave surface and the input and output of energy. [ABSTRACT FROM AUTHOR]