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Positively conservative Roe’s solver for Euler equations. (Solveur de Roe positivement conservatif.) (French. Abridged English version) Zbl 0957.76049
Summary: We point out the main drawback of usual Roe’s approximate Riemann solver: the solver may fail by predicting non-physical states with negative density or internal energy. We present a new family of positive Roe’s average matrix in Eulerian and Lagrangian forms. These matrices are not based on Jacobian canonical form as usual. This approach can be used to compute accurately flows with very low density. Numerical results illustrate the efficiency of the proposed method.

76M20 Finite difference methods applied to problems in fluid mechanics
76M12 Finite volume methods applied to problems in fluid mechanics
76N15 Gas dynamics (general theory)
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