Computational analysis compares multiple finite difference schemes for Euler equations, suggesting optimal approaches for 1D and 2D scenarios.
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. Key words. Euler equations, Riemann problems, finite difference schemes, splitting
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Liška et al. (2003) studied this question.
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