Astronomy and Astrophysics – Astrophysics
Scientific paper
Dec 2008
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008agufmsh51c..02w&link_type=abstract
American Geophysical Union, Fall Meeting 2008, abstract #SH51C-02
Astronomy and Astrophysics
Astrophysics
7500 Solar Physics, Astrophysics, And Astronomy, 7507 Chromosphere, 7509 Corona, 7524 Magnetic Fields, 7529 Photosphere
Scientific paper
The interface region between the solar photosphere and corona is an interesting environment which is, however, difficult to model. Low and high plasma-beta regions are present in this layer side by side and require that the magnetic field and plasma are modelled self-consistently in one model. A popular simplification used to model the low beta solar corona is the assumption of force-free magnetic fields, but this approach is not justified in the mixed beta interface region. We can, however, generalize numerical schemes developed for nonlinear force-free magnetic field extrapolations. Here we report a first step towards such an approach based on an optimization principle which solves the non-force-free magneto-hydrostatic equations by minimizing a functional. As a result we get a self-consistent equilibrium of magnetic field, plasma density and plasma pressure. Measured quantities, e.g. the photospheric magnetic field vector, are used as boundary condition. We test our code with the help of a semi-analytic magneto-hydro-static equilibrium. The quality of the reconstruction was judged by comparing the exact and reconstructed solution qualitatively by magnetic field-line plots and artificial plasma-images and quantitatively by several different numerical criteria. Our code is able to reconstruct this semi-analytic test equilibrium with high accuracy. The strongly varying plasma-beta environment requires, however, a smaller time step and longer computing time compared with low beta force-free field extrapolations.
Neukirch Thomas
Wiegelmann Th.
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