Statistics – Computation
Scientific paper
May 2001
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001agusm..sh41a18d&link_type=abstract
American Geophysical Union, Spring Meeting 2001, abstract #SH41A-18
Statistics
Computation
7509 Corona, 7524 Magnetic Fields, 7594 Instruments And Techniques, 7835 Magnetic Reconnection
Scientific paper
We present a promising new form of quasi-Lagrangian magnetic model for the corona, a ``fluxon model''. Fluxons are discrete representations of field lines. Fluxon-based models are similar to traditional Lagrangian field models in that they have no numerical resistivity because field topology is explicitly preserved. They differ from traditional Lagrangian models in two ways: there is no fixed set of proximity relationships between the discrete elements of the model, preventing numerial runaway in evolving systems; and div B is explicitly maintained at 0. In a force-free field, the magnetic pressure and tension forces are in equilibrium. The fluxon formulation reduces determination of the field to a relaxation process. Calculation of the magnetic pressure and tension forces at each step in the relaxation is reduced to a variant of known, solved problems in computational geometry. In this presentation, we demonstrate a computationally efficient method of calculating these forces, using an approximation to the ``Voronoi foam'' of spatial neighborhoods defined by a particular collection of fluxons. Magnetic field modeling with fluxons offers several advantages: (1) it facilitates detailed investigation of field topology; (2) reconnection is completely controllable, because there is no numerical resistivity; (4) the modeled structures may be critically sampled, raising the prospect of unprecedented computational efficiency. These advantages together will ultimately allow explicit modeling of stability and reconnection in complex, slowly evolving coronal features such as polar plumes, prominences, and active regions.
DeForest Craig Edward
Kankelborg Charles C.
Longcope Dana Warfield
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