NONOSCILLATORY COMBINATION OF MAC CORMACK AND WARMING-BEAM SCHEMES FOR HYPERBOLIC CONSERVATION LAWS

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Based on the analysis of nonoscillatory conditions of second-order schemes in Ref.[1], a very simple combination of the two famous second-order finite difference schemes, the Mac Cormack scheme and the Warming-Beam scheme, was achieved for hyperbolic conservation laws. It efficiently avoids spurious oscillations near discontinuities and preserves uniformly second order accuracy in space and time. Numerical results show cheaper costs and even better resolution than ENO schemes under same conditions.
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