Linear Waves Test for Some Difference Schemes for Ideal MHD

One-dimensional linear wave testing has been performed for some numerical techniques for solution of the ideal magnetohydrodynamic system of equations. The mesh-characteristic method is under consideration as well as the numerical technique implemented in the software package MA-RPLE. The results are compared with the results of the similar tests performed for the schemes implemented in Athena code (Roe, HLLD, HLLE). Our schemes demonstrate values of the norm of the numerical solution error for propagation of the low-amplitude (linear) MHD-waves which are comparable with the numerical techniques implemented in Athena code.