A central-constrained transport scheme for ideal magnetohydrodynamics

I propose an easy-to-code numerical scheme for the equations of compressible ideal magnetohydrodynamics (MHD) in multiple space dimensions. The presented method employs the central-upwind scheme of Kurganov et al. [SIAM J. Sci. Comput. 160 (2001) 707] in semi-discrete form combined with the constrained transport technique to satisfy the divergence-free condition for the magnetic field up to machine precision on the numerical grid. A variety of test problems in 1D, 2D and 3D show the robustness and efficiency of this `hybrid ansatzʹ which renders it an interesting alternative to existing, numerically more intricate, solvers for the MHD equations.