Statistics – Computation
Scientific paper
May 2001
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001agusm..sh41a17k&link_type=abstract
American Geophysical Union, Spring Meeting 2001, abstract #SH41A-17
Statistics
Computation
7509 Corona, 7524 Magnetic Fields, 7811 Discontinuities, 7839 Nonlinear Phenomena, 7843 Numerical Simulation Studies
Scientific paper
In force free magnetic fields, the magnetic pressure and tension forces are balanced. These forces may be represented in terms of arrangements of field lines (``fluxons''). We demonstrate a novel Lagrangian technique for modeling of force-free configurations in 2D and 3D with and without current sheets. The fundamental computational element in our model is the fluxon, a field-line-like entity that represents the configuration of a finite quantity of magnetic flux. The magnetic field in a volume is represented as a collection of fluxons, each with a geometry defined by a connected series of points. The magnetic curvature force is easily determined by finite differencing along a fluxon. A smoothing kernel is used to evaluate magnetic field strength and its gradient. By these means, the Lorentz force is determined. Relaxation to a force free state is accomplished by displacing the fluxons in the direction indicated by the Lorentz force. Further calculations with the smoothing kernel allow the evaluation of stored magnetic energy and mapping of current distributions in the volume. Magnetic field modeling in the fluxon representation offers several advantages: (1) it facilitates detailed investigation of field topology; (2) reconnection is completely controllable --- it cannot occur unless it is explicitly inserted into the model; (3) there is no numerical resistivity; (4) current sheets are critically sampled, raising the prospect of unprecedented computational efficiency.
DeForest Craig Edward
Kankelborg Charles C.
Longcope Dana Warfield
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