Dynamics of magnetic flux concentrations - The second-order thin flux tube approximation

Statistics – Computation

Scientific paper

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Magnetic Flux, Magnetohydrodynamic Waves, Solar Magnetic Field, Wave Propagation, Computational Astrophysics, Linear Equations, Photosphere

Scientific paper

The thin flux tube approximation for the dynamics of magnetic flux concentrations is extended up to second order in the radial expansion to consistently include azimuthal velocities and twisted magnetic fields. The linear wave modes of a flux tube as described by the new set of equations are calculated and compared with the results of the conventional zeroth-order thin flux tube approximation. By comparison with exact solutions which are available for a uniform flux tube in a non-stratified medium, it is shown that the thin flux tube approximation (based on an expansion approach) is best suited to describe surface modes of a magnetic structure while body waves are not so well represented.

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