双曲型守恒方程的一类MmB差分格式

A CLASS OF MmB DIFFERENCE SCHEMES FOR HYPERBOLIC EQUATIONS OF CONSERVATION LAWS

给出了一维双曲型守恒律方程的一类高分辨率ＭｍＢ差分格式，并且推广到方程组情形，它具有不须解黎曼问题、计算工作量小且易于编程的优点。数值实验表明格式具有较高的分辨率，处理间断解的能力令人满意。

In this paper we present a family of high-resolution MmB difference schemes to hyperbolic equtions of conservation laws in one dimmension,and extend it to systems of conservation laws.These schemes have the advantages of Riemann-solver-free,working simplify and programming easily.Numerical experients show that these schemes have the high-resolution ability for dealing with discontinuity solutions.