Numerical simulation of ship-borne waves using a 2DH post-Boussinesq model

Abstract

This work presents results on the simulation of the generation and propagation of ship-borne waves, using an advanced nonlinear dispersive wave model based on the higher order Boussinesq-type equations. The model includes a single frequency dispersion term, expressed through convolution integrals; it is adapted to represent ship-borne waves by adopting the approach for wave generation by a moving local pressure disturbance, achieved through adding a respective pressure term in its governing equations. The model is tested against an analytical solution for the calculation of the angles of ship wakes and laboratory experiments of waves produced by a high-speed ship in a channel. Results compare well to data from both the aforementioned studies, confirming the model's capabilities and highlighting its accuracy in the representation of ship-borne waves; the model's applicability to practical coastal engineering applications is also investigated, through a set of numerical experiments of waves generated at sea and in a harbour.