Discontinous Galerkin Methods for the Shallow-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 terms 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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