The Importance of Non-Isotropic Conduction in Multi-Dimensional MHD Calculations of Coronal Magnetic Loops

Astronomy and Astrophysics – Astronomy

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Much progress has recently been made in modeling and observations of coronal loops. Most recent modeling has focused on 1-D models to investigate the location of the heating responsible for the high temperatures of these loops and the corona in general. More specifically the focus has been on various forms of pulsed heating with much argument as to whether these pulses arise in the corona or the transition region. There has been very little work done using multi-dimensional models for two reasons: 1) to do this correctly one must treat thermal conduction in a non-isotropic manner, only along the magnetic field lines, and 2) to have the calculations be meaningful one must adequately resolve the transition region, to approximately 12 km resolution. We have addressed both of these problems in using the University of Chicago Flash code to model the solar atmosphere from a temperature of 8,000K to over 1,000,000K. Adequate resolution was achieved by setting the adaptive mesh parameter to a sufficiently large value that dynamic regridding gave the needed 12 km resolution. Thermal conduction was originally handled in the program as an isotropic quantity. However, we have developed new modules for the code such that conduction was calculated as occurring only along the magnetic field lines.
Preliminary results show that the 2-D results with non-isotropic conduction more closely match the 1-D results than the 2-D results with isotropic conduction. This indicates that 1-D calculations are still valuable. We also find that with sufficiently detailed observations one should be able to discriminate between heating originating in the transition region and heating originating in the corona.

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