Numerical analysis of rogue wave generation with boundary damping effects

In this paper a numerical wave flume is established for simulating deepwater wave train, which is based on fourth order nonlinear Schroedinger equation and pseudo-spectral numerical method, and a linear dissipative term introduced to take into account the boundary damping effects of physical model test. Numerical simulation is carried out from Benjamin-Feir instability, and complex wave packet including one carrier wave and one pair of sideband perturbations is adapted as the initial condition, which is changed to simulate the rogue wave generation in deep water. Energy transformation is studied in the process of rogue wave generation, and the numerical results show that the model can give some good simulation results.