Abstract
Previously it was found by the present authors that the use of non-classical equations of state in gas dynamic computations by Eulerian difference schemes may give rise to spurious oscillations of the numerical solution in the vicinity of contact discontinuities. Two accurate methods for elimination of these oscillations are proposed below. One of these methods is based on a new definition of the K-consistency of difference schemes. Another method makes use of difference approximations of an unsteady equation for pressure which is a well-known consequence of the Euler equations. The effectiveness of the methods proposed is illustrated by computational results.
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