Water wave modeling

In this talk, I will present first a mesh generation though a photo and a xyz file, and a new adaptmesh technique applied on a water wave modeling : simplified Boussinesq system of BBM(Benjamin Bona Mahony) type derived by Dimitrios Mitsotakis and the Shallow Water system. I will also present FreeVol++ the code to solve numerically finite volume method on a unstructured grid using with FreeFem++, which is an ongoing work with Frédéric Hecht, Pierre Jolivet and Nicolas Seguin, and give it's first application on the advection 2D equation and on the Shallow Water system with the new adaptmesh technique and its parallel version.