Efficient solution algorithms for the Riemann problem for real gases. (English) Zbl 0581.76079

A procedure for constructing solutions to the Riemann problem for gas dynamics with a general convex equation of state is given. Approximate procedures, involving a local parametrization of the equation of state, are introduced in order to calculate numerical fluxes in conservative finite difference schemes. This leads to difference schemes which are as accurate and almost as fast as the analogous schemes for polytropic gases. Numerical results in one and two space variables are presented.


76N15 Gas dynamics (general theory)
76-05 Experimental work for problems pertaining to fluid mechanics
76M99 Basic methods in fluid mechanics
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