求解二维双曲型守恒律的一类 MmB 差分格式

A Class of MmB Difference Schemes for Hyperbolic Conservation laws in Two Dimensions

本文利用ＭｍＢ（ＭａｘｉｍｕｍａｎｄｍｉｎｉｍｕｍＢｏｕｎｄｓ）差分格式的思想，将文〔１〕中所得差分格式改进为ＭｍＢ差分格式，对步长比为ＣＦＬ（Ｃｏｕｒａｎｔ－Ｆｒｉｅｄｒｉｄｓ－Ｌａｘ）限制虽然较文〔１〕严格，但有效地防止了非物理振荡，而且在数值计算过程中，ＣＦＬ数可适当地放大。数值实验结果表明。

This paper impoved the difference Schemes of 1 by using the concet of MmB difference schemes.Although its CFL limitation is stricter than that in 1 it is effective for preveting nonphysics oscillation,and its CFL number Can be relaxed properly in the Course of numerical Calculating.The results of the numerical experiements shown that the improved MmB difference Scheme is Satisfied for dealing with discontinuity solution.