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math.NA2015
Finite Volume Evolution Galerkin Methods for the Shallow Water Equations with Dry Beds
Andreas Bollermann, Sebastian Noelle, Maria Lukáčová - Medvidová
We present a new Finite Volume Evolution Galerkin (FVEG) scheme for the solution of the shallow water equations (SWE) with the bottom topography as a source term. Our new scheme wi…
math.NA2014★ 3 cited
A well-balanced reconstruction for wetting/drying fronts
Andreas Bollermann, Guoxian Chen, Alexander Kurganov +1
In this paper, we construct a well-balanced, positivity preserving finite volume scheme for the shallow water equations based on a continuous, piecewise linear discretization of th…