Numerical tests of a modified full implicit continuous Eulerian (FICE) scheme with projected normal characteristic boundary conditions for MHD flows

Astronomy and Astrophysics – Astrophysics

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Astrophysics, Boundary Conditions, Boundary Value Problems, Euler Equations Of Motion, Magnetohydrodynamic Flow, Flow Velocity, Hyperbolic Differential Equations, Magnetic Fields, Two Dimensional Flow

Scientific paper

A numerical method has been developed based on a modified full implicit continuous Eulerian (FICE) scheme and projected normal characteristic boundary conditions for simulating MHD flows which undergo a long process of evolution. An astrophysical flow is chosen for illustration of this procedure, and numerical tests are made to verify the computational stability and physically realistic solution. Three computational tests have been accomplished; they are tests of solving methods, characteristic boundary condition, and time steps. The tests show that the program from the modified FICE scheme with proper boundary conditions and time steps can be made numerically stable for a time long enough to obtain physically plausible solutions.

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