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The Three Dimensional Non-conforming Finite Element Solution of the Chapman–Ferraro Problem

✍ Scribed by Petr Klouček; Frank R Toffoletto

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
267 KB
Volume
150
Category
Article
ISSN
0021-9991

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✦ Synopsis

We demonstrate the feasibility of using a non-conforming, piecewise harmonic finite element method on an unstructured grid in solving a magnetospheric physics problem. We use this approach to construct a global discrete model of the magnetic field of the magnetosphere that includes the effects of shielding currents at the outer boundary (the magnetopause). As in the approach of F. R. Toffoletto et al. (1994, Geophys. Res. Lett. 21, 7) the internal magnetospheric field model is that of R. V. Hilmer and G.-H. Voigt (1995, J. Geophys. Res.) while the magnetopause shape is based on an empirically determined approximation (1997, J. Shue et al., J. Geophys. Res. 102, 9497). The results is a magnetic field model whose field lines are completely confined within the magnetosphere. The presented numerical results indicate that the discrete non-conforming finite element model is well-suited for magnetospheric field modeling.

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