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 MARPLE. 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.

ideal MHD, linear tests, MHD-waves

Mathematical modelling in actual problems of science and technics

Boldarev Aleksey Sergeevich,  ,  orcid.org/0000-0001-8344-646X,  KIAM RAS

Gasilov Vladimir Anatolievich,  ,  orcid.org/0000-0003-2629-6527,  KIAM RAS