A MULTIDIMENSIONAL UPWIND SCHEME FOR MAGNETOHYDRODYNAMICS

This paper describes a second-order upwind scheme for multidimensional magnetohydrodynamics, which uses a linear approximation for all Riema nn problems except those involving strong rarefactions. This enables i t to cope with initial data for which previously published schemes mig ht fail. The condition del . B = 0 is not enforced in multidimensions, but the numerical problems associated with this are dealt with by add ing source terms to the equations, as suggested by Powell. We also sho w that there are advantages to adding second-order artificial dissipat ion at shocks. (C) 1998 RAS.