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Comparison of several difference schemes on 1D and 2D test problems for the Euler equations. (English) Zbl 1096.65089
The results of computations with eight explicit finite difference schemes on a suite of one-dimensional and two-dimensional test problems for the Euler equations are presented in various formats. Both dimensionally split and two-dimensional schemes are represented, as are central and upwind-biased methods, and all are at least second-order accurate.

MSC:
65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs
35L65 Hyperbolic conservation laws
76M20 Finite difference methods applied to problems in fluid mechanics
35Q35 PDEs in connection with fluid mechanics
Software:
HE-E1GODF; CLAWPACK
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