Computationally Efficient Numerical Model for the Evolution of Directional Ocean Surface Waves

This paper concerns a development of a new efficient numerical model for the short term prediction of evolving weakly nonlinear ocean surface waves. By extending the works of West et al. 1 and Choi, and utilizing the fact that waves in the ocean tend to travel primarily in one direction, this new numerical model is derived based on additional assumption of a weak transverse dependence. The model is implemented via Fourier pseudospectral method and numerous Monte-Carlo random numerical simulations are carried out. The new model is shown to behave quite well in various directional wave fields and can potentially be a candidate for the prediction and propagation of large ocean surface waves known as Rogue or Freak waves.