Abstract
We propose a new numerical method for the investigation of plasma column dynamics described by the equations of electromagnetic hydrodynamics (EMHD). Special attention is given to the statement of the boundary conditions, as well as testing the algorithm. Our difference scheme for finding solutions of the EMHD equations in Lagrangian coordinates takes into account the motion of the plasma-vacuum boundary and involves discretization of the electrical equation for the external circuit. The main difference from the MHD theory is due to the complex structure of the generalized Ohms law, which is expressed by a boundary value problem for the electrical field on an interval. This algorithm can be effectively used for finding both the electric and the magnetic fields in the column plasma.
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