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Exact and approximate Riemann solvers for real gases. (English) Zbl 0799.76058
A procedure is developed for solving the Riemann problem (RP) for the flow of gases obeying an equation of state (EOS) of the form \(p=p(\rho,T)\). A method is introduced, producing solutions of the exact RP; the algorithm is validated by applying it to the classical test case of the shock-tube, for a perfect gas. Thereafter, the method is applied to gases having EOS of the Van der Waals or virial types, with very good resulting accuracy.

76M20 Finite difference methods applied to problems in fluid mechanics
76N15 Gas dynamics (general theory)
76L05 Shock waves and blast waves in fluid mechanics
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