Tracking Magnetic Nulls in a Simulated Magnetosphere

Mathematics – Logic

Scientific paper

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Scientific paper

We describe a technique for tracking magnetic nulls in computer simulations of magnetized plasmas. The technique is based on the tet{greeneb} algorithm of computing the topological degree of a discretized vector field. We apply the Greene algorithm to a resistive magnetohydrodynamics (MHD) simulation of Earth's magnetosphere. We demonstrate that under generic northward interplanetary magnetic field (IMF) conditions, the large scale topology of the dayside magnetopause is consistent with a null-null separator topology, with the dayside X line extending across the subsolar magnetopause and terminating at two magnetic nulls in the polar cusps.

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