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An artificial compression method for ENO schemes: The slope modification method. (English) Zbl 0705.65062

The author introduces a simple and efficient method of artificial compression to improve the performance of an essentially non-oscillatory (ENO) scheme at the contact discontinuities. The method combines the ENO scheme with an artificial compression method. The method is applied to the system of Euler equations for gas dynamics. A number of standard problems are treated as examples.
Reviewer: K.T.S.R.Iyengar

MSC:

65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs
35L65 Hyperbolic conservation laws
76N15 Gas dynamics (general theory)
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