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.
