摘要
For the second-order charachteristics schemes of hyperbolic convection e-quations, an analysis of the occurring factors of overshoots and undershoots is made, and the nonoscillatory conditions are found. Either the Lax-Wendroff scheme or the second-order upwind scheme is employed according to the value of the smooth parameter rj+-1/2 of the slope ratio of the solution. Numerical results show that the oscillation can be avoided and the high-order accuracy can be preserved. It is verified by a lot of numerical tests on typical examples of scalar convection equations. Further study is required for its extension to the system of hyperbolic equations.
For the second-order charachteristics schemes of hyperbolic convection e-quations, an analysis of the occurring factors of overshoots and undershoots is made, and the nonoscillatory conditions are found. Either the Lax-Wendroff scheme or the second-order upwind scheme is employed according to the value of the smooth parameter rj+-1/2 of the slope ratio of the solution. Numerical results show that the oscillation can be avoided and the high-order accuracy can be preserved. It is verified by a lot of numerical tests on typical examples of scalar convection equations. Further study is required for its extension to the system of hyperbolic equations.
