Solar flare MDH

Mathematics

Scientific paper

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Computer Programs, Current Sheets, Finite Difference Theory, Finite Element Method, Grid Generation (Mathematics), Magnetic Field Reconnection, Magnetohydrodynamic Stability, Magnetohydrodynamics, Plasma Currents, Solar Corona, Solar Flares, Electrical Resistivity, Magnetic Fields, Time Dependence

Scientific paper

A new finite element time dependent, two dimensional magnetofluid code has been written. This code offers the possibility of localized mesh refinement to capture the development of current sheets, analogous to shocks by hydrodynamics. The finite difference MHD code was improved during the past year. The code is now robust, fast, and user friendly. Fast driven magnetic reconnection has been simulated in three dimensions and the reconnection time scale is consistent with one logarithmic in the plasma resistivity. A model has been found where a spontaneous discontinuous magnetic field develops from a continuous initial state, which phenomenon is believed to occur in the solar corona. Several theories of MHD and resistive MHD instabilities in the solar corona have been developed.

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