Numerical Simulation of a Weakly Nonlinear Model for Internal Waves

Internal waves arise in a wide array of oceanographic problems of both theoretical and engineering interest.In this contribution we present a newmodel,valid in the weakly nonlinear regime,for the propagation of disturbances along the interface between two ideal fluid layers of infinite extent and different densities.Additionally,we present a novel high-order/spectral algorithm for its accurate and stable simulation.Numerical validation results and simulations of wave-packet evolution are provided.