A computational code for two-dimensional unsteady magnetohydrodynamics by the method of characteristics

Statistics – Computation

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Boundary Value Problems, Magnetohydrodynamic Flow, Method Of Characteristics, Two Dimensional Flow, Unsteady Flow, Architecture (Computers), Computational Fluid Dynamics, Cylindrical Plasmas, Magnetohydrodynamic Waves, Massively Parallel Processors, Numerical Stability, Parallel Processing (Computers)

Scientific paper

The authors present a computational code for solving two-dimensional, time-dependent magnetohydrodynamic (MHD) equations by the method of characteristics. The physical system under consideration is axisymmetric, with vφ = 0 and Bφ = 0. The numerical scheme is described in detail, and the results of calculations are compared with two analytic solutions of the MHD equations: (1) linearized, standing MHD wave motions in a magnetized cylindrical plasma; (2) nonlinear self-similar expansion of a magnetized plasma ball. In addition, the authors have studied the nonlinear development of standing MHD wave solutions in a cylindrical plasma.

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