Abstract
Methods for increasing the numerical solution accuracy in the vicinity of a contact discontinuity are proposed and justified theoretically which are applicable in the cases when the equation of state employed does not satisfy the so-called K- consistence condition and when the finite difference second-order schemes are used for gas dynamic computations in Eulerian variables. The construction of corresponding algorithms is accomplished at the example of the two well-known difference schemes—the Lax-Wendroff scheme and the MacCormack scheme. Theoretical conclusions are illustrated by computational examples.
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