A 2DH POST-BOUSSINESQ MODEL FOR WEAKLY NONLINEAR FULLY DISPERSIVE WATER WAVES

In the present work a new post-Boussinesq type dispersive wave propagation model is proposed. It is developed for fully dispersive and weakly nonlinear irregular waves. The momentum equations include only one frequency dispersion term, expressed through convolution integrals, which are estimated using appropriate impulse functions. The model is applied to simulate the propagation of regular and irregular waves using a simple explicit scheme of finite differences. The results of the simulations are compared with experimental data. The comparisons show that the method is capable of simulating weakly nonlinear dispersive wave propagation over finite water depth, as well as breaking wave- induced currents, in a satisfactory way.