On the entropy stability of Roe-type finite volume methods

@inproceedings{TadmorOnTE,
  title={On the entropy stability of Roe-type finite volume methods},
  author={Eitan Tadmor}
}
Abstract. We study the entropy stability of a class of finite volume (FV) methods for systems of hyperbolic conservation laws. The methods under consideration are based on a Roe-type linearization coupled with the multidimensional FV evolution Galerkin method [8]. Following Tadmor [16] we derive the second-order numerical viscosity which guarantees the entropy stability of these Roe-type FV schemes. Numerical experiments confirm that the resulting schemes have just the right amount of numerical… CONTINUE READING
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