Computer Science – Numerical Analysis
Scientific paper
Dec 1994
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994a%26a...292..669c&link_type=abstract
Astronomy and Astrophysics (ISSN 0004-6361), vol. 292, no. 2, p. 669-676
Computer Science
Numerical Analysis
9
Magnetic Field Configurations, Magnetohydrodynamic Waves, Solar Corona, Solar Magnetic Field, Solar Oscillations, Velocity Distribution, Differential Equations, Numerical Analysis
Scientific paper
We consider a particular type of a magnetic non potential 2D arcade which is in static equilibrium with the ambient, isothermal atmosphere. By applying linear 2D perturbations to it, we obtain the relevant MHD equations that describe the resulting wave velocity field, which can be reduced to a set of two coupled second order differential equations for the velocity components parallel and normal to the magnetic surfaces. Those equations have been solved analytically in local approximation and under the assumption of constant Alfven speed. The results show the existence of a surface wave, in addition to the propagating waves (the fast and the slow mode), when a single boundary is present. The slow mode cannot escape the arcade while the fast mode can leave it provided the speed of sound is not negligible if compared with the Alfven speed. In the case of two boundaries, i.e. for a magnetic arch, the obtained wave behavior resembles that for a horizontal slab.
Ballester Jose Luis
Cadez Vladimir M.
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