Modelling of magnetic field reconnection using finite element method. (Czech Title: Modelování rekonexe magnetického pole pomocí metody konečných prvku)

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Magnetic reconnection in solar flares includes a huge range of interconnected scales from global dimensions of a flare up to scales where, in terms of kinetics, dissipation of magnetic energy and particle aceleration take place. Therefore, one of the main unanswered questions of this process addresses the physical mechanism of the transport of free magnetic energy from large scales, at which the energy is accumulated, to dissipative scales. In the contribution we discuss a study of this problem using advanced techniques in numerical modelling. First, we present results based on more traditional Finite Difference Method (FDM) combined with Adaptive Mesh Refinement (AMR) technique. Although this approach did provide an insight to the energy cascade mechanism in reconnection, more datailed analysis revealed also weak points of this method. Finite Element Method (FEM) thus appears to be a much more natural apporach to the multi-scale process of magnetic reconnection. In the contribution we present a comparison of both appoaches and show first FEM modelling results of magnetic reconnection in solar flares.

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