Abstract
This paper presents a computational scheme for compressible ideal MHD (magnetohydrodynamics) equations. The scheme utilizes the finite volume approach with an adapted grid refinement technique. The second order accuracy of the scheme in space and time is ensured by a MUSCL-type method and an explicit Runge-Kutta scheme for the time discretization. Computational results are presented for a MHD shock tube and two-dimensional supermagnetosonic flows.
