A Non-oscillatory Central Difference Scheme with Nonstaggered Grids for Two-dimensional Magnetohydrodynamics Equations

Based on reconstructions on staggered grids and converting staggered grids into non-staggered grids,a class of two-order non-oscillatory central difference schemes with non-staggered grids for the two-dimensional ideal magnetohydrodynamics equations is obtained.Two typical numerical examples are given to verify the validation of the resulting schemes.