Discontinous Galerkin Methods for the Sahllow-Water Equations with bathymetric terms and dry areas

Karim DJADEL, Alexandre ERN, Serge PIPERNO & Karim DJADEL
In this paper, we develop Discontinuous Galerkin Methods to deal with the Shallow-Water Equations involving bathymetric temrms and dry areas. Our major goals are on the one hand to preserve quiescent flows and, more generally, steady-states and on the other hand to ensure stability when the flow includes flooding and drying. Drawing on earlier ideas for Finite Volume Methods [Aud,Ber], we design two Discontinuous Galerkin Methods that preserve flows at rest. We investigate their acuracy...
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