Numerical simulation of two-dimensional plasma flow in channels

An axisymmetric plasma flow in a channel between two coaxial electrodes is considered. The problem is described by magnetohydrodynamics (MHD) equations taking into account the Hall effect. Two-dimensional time-dependent equations are solved numerically. As a rule solutions stabilize and become steady-state. This paper contains the mathematical statement of the problem and a method for its numerical solution. This kind of technique may be applied to a large class of two-dimensional plasma flows across the magnetic field. Physical results obtained in computation have been published in earlier papers.