ON NUMERICAL SOLUTION OF ELECTRON HYDRODYNAMICS EQUATIONS FOR HIGHLY MAGNETIZED ELECTRONS
V. P. Bashurin, A. I. Golubev, V. S. Shagalieva VANT. Ser.: Mat. Mod. Fiz. Proc. 1995. Вып.3. С. 2024.
The problem setup is presented for the magnetic field flow in the cavity resulting from the expansion of the ionized cloud into homogeneous magnetized plasma. The problem includes both magnetic field diffusion to plasma due to collisions and plasma turbulence and magnetic field transport by Hollow currents. The dispersion properties of equations are discussed. The numerical algorithm is given for this problem. The discussion is presented for the restrictions of the timestop occuring if the electrons are highly magnetized from the conditions of difference scheme stability and iteration convergence when solving nonlinear difference equations.
