Hybridized Discontinuous Galerkin Methods for Serre-Green-Naghdi Wave Models

Thursday, June 29, 2017 - 2:30pm - 3:20pm
Keller 3-180
Clint Dawson (The University of Texas at Austin)
In this talk we will discuss shallow water wave models that model waves in the near-shore region of the coast. In this case, various models of Boussinesq type have been proposed, that are based on some simplifying assumptions on the vertical structure of the flow, and plugging these into the Navier-Stokes equations. The results are commonly used 1D and 2D nonlinear water wave models. One such model is the Serre-Green-Naghdi equations. We will present a hybrid DG method for the SGN and its implementation in the deal.II software package. This work is joint with Ali Samii.