Full-implicit continuous eulerian scheme in the spherical coordinates and its applications to solar phenomena

Astronomy and Astrophysics – Astronomy

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Galactic Nuclei, Galactic Structure, Radio Astronomy, Radio Galaxies, Flow Distribution, Hydrodynamics, Plasma Jets

Scientific paper

The full-implicit continuous eulerian scheme is extended to the cases of spherical coordinates in order to investigate global, large-scale dynamical processes in the solar atmosphere. The difference equation of pressure is solved using the line-by-line method and the boundary conditions on the top and bottom are obtained using the projected characteristic equations. In addition, the variation of the gravitational field with altitude is considered and a non-uniform mesh is adopted along the radial direction. This scheme is applied to the physical processes in the solar atmosphere due to a radial mass ejection in the neighborhood of the equator on the solar surface, with the initial magnetic field assumed to be a dipole field. The major results of this numerical study are presented and it is suggested that they may elucidate the ejecting prominence and the accompanying coronal transient.

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