FULL-IMPLICIT CONTINUOUS EULERIAN SCHEME IN THE SPHERICAL COORDINATES AND ITS APPLICATIONS TO SOLAR PHENOMENA

In this paper, the full-implicit-continuous-eulerian(FICE) scheme is extended to the spher-ical coordinates so as to study global problems in solar atmosphere. We apply the so-called line-by-line method to solving the difference equation of pressure and the projected characteristicequations to determining the boundary conditions on the top and bottom. Besides, the varia-tion of gravitational field with altitude is taken into account and a non-uniform mesh alongthe radial direction is adopted. As a numerical example, we discuss the physical process in thesolar atmosphere due to a radial mass ejection in the neighbourhood of the equator on the solarsurface, with the initial magnetic field being taken to be a dipole field The results may eluci-dato the ejecting prominence and the accompanying coronal transient.