一维磁流体方程的非交错无振荡中心差分格式

A Non-oscillatory Central Difference Scheme with Nonstaggered Grids for the 1-D Magnetohydrodynamics Equations

摘要: 基于单元平均的分片线性重构和数值导数的适当选取,构造了一维理想磁流体力学方程的二阶非交错型无振荡中心差分格式.给出了两个典型的数值算例,验证了格式具有高分辨率、无振荡和易于计算等优点.

Abstract: Based on piecewise linear reconstruction of cell averaged and a proper selection of numerical derivative,a class of two-order non-oscillatory central difference schemes with non-staggered grids for the one dimensional ideal magnetohydrodynamics equations is obtained.Two typical numerical examples are given to verify the advantages of high-resolution and non-oscillatory and ease to calculate of these schemes.