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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.

MSC:
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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