A fully dispersive fifth order nonlinear wave model - II: Numerical simulation

摘要

This paper presents the numerical solution of a fully dispersive fifth order nonlinear wave propagation model. The new equations are directly applicable to the wave propagation from deep water to shallow water and solved numerically with a finite difference method. A moving grid in spatial difference and a "homeomorphic linear Prediction-Correction-Iteration" Crank-Nicolson method was used to discretize the models. The numerical models are applied to an elliptic shoal (reported by Berkhoff et al. (1982)) and a submerged breakwater (reported by Ohyama et al. (1995)). Comparison of the results shows that the present models predict the measurements well, can be used to depict waved propagation for deep water to shallow water, across obstacles.