摘要
Based on the analysis of nonoscillatory conditions of second-order schemes, 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 can avoid spurious oscillations near discontinuities and preserve uniformly second order accuracy in space and time. Numerical results show lower cost and even better resolution than ENO schemes under same conditions.
Based on the analysis of nonoscillatory conditions of second-order schemes, 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 can avoid spurious oscillations near discontinuities and preserve uniformly second order accuracy in space and time. Numerical results show lower cost and even better resolution than ENO schemes under same conditions.
基金
This work was supported by the Specific Fund of Higher Educational DoctoralProgramme(No.980 2 4 62 7) and the Pre-research Fun
