An ionospheric conductance and field-aligned current relationship for global MHD simulations

Physics

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2407 Auroral Ionosphere (2704), 2704 Auroral Phenomena (2407), 2753 Numerical Modeling

Scientific paper

The ionosphere generally presents a complex boundary problem for global MHD simulations. The simulations provide calculations of the field-aligned current density on the surface of a sphere at a typical distance of 4 Re from Earth, which are then projected into the ionosphere using a magnetic field model. These currents are, however, the only ionospheric parameter provided by the simulations. The field-aligned currents are a function of the divergence of the horizontal ionospheric currents, which according to Ohms current law are a function of the conductance and electric field distributions. Hence, the field-aligned current is determined by the conductance and electric field as well as the spatial gradient of these parameters. Hence, the MHD simulations do not provide information sufficient for a self-consistent solution of the ionospheric electrodynamics. In an attempt to get a reasonable solution of the ionospheric electrodynamics this paper presents empirical relationships between the ionospheric field-aligned current density and conductance. This technique enables a determination of the conductance distribution directly from the field-aligned current distribution

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