SEMINAIRE D'ANALYSE NUMERIQUE
Année universitaire 2011-2012


Jeudi 6 octobre 2011 Christophe BERTHON   (Université de Nantes)
Schémas hydrostatiques décentrés pour les équations Shallow-Water.

We consider the numerical approximation of the shallow–water equations with non–flat topography. We introduce a new topography discretization that makes all schemes to be well–balanced and robust. At the discrepancy with the well–known hydrostatic reconstruction, the proposed numerical procedure does not involve any cut–off. Moreover, the obtained scheme is able to deal with dry areas. Several numerical benchmarks are performed to assert the interest of the method.