Preliminary Results on Simulation of a New Kind Traveling Wave of Permanent Form

This paper presents recent results on a new version of the classical Boussinesq model system for the two-way propagation of water waves. It features presentations about theoretical work, numerical analysis, implementation of numerical schemes and the use of these schemes to better understand the models, reports on laboratory experiments and comparisons of model predictions with real-world data. Some interesting simulations will be presented, which include a new set of traveling waves of permanent form, the generation of tidal waves and head-on collision of tidal waves.

Min Chen (chen@math.purdue.edu)