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Magnetic reconnection and its manifestations in solar flares and eruptions
Lörinčík, Juraj ; Dudík, Jaroslav (advisor) ; Masson, Sophie (referee) ; Varady, Michal (referee)
Solar flares and eruptions are manifestations of violent releases of magnetic energy from the solar atmosphere. They are powered by magnetic reconnection, a mechanism in which magnetic field lines change their connectivities to reach a lower-energetic state. Theoretical predictions regarding the generalised three-dimensional magnetic reconnection are imposed by the standard flare model in 3D. In this work we present the results of five peer-reviewed publications in which we focused on different predicted aspects of magnetic reconnection in 3D. We analyse evolution and morphology of seven eruptive flares, primarily using observations of the Atmospheric Imaging Assembly onboard the Solar Dynamics Observatory. In the first publication, (Lörinčík et al., 2019a), we interpreted variations of velocities of slipping flare kernels using the mapping norm of field line connectivity simulated via the model. In Lörinčík et al. (2019b) we showed that the observed conversion of filament strands to flare loops is a signature of the 'ar-rf' reconnection geometry between erupting flux rope and overlying coronal arcades. In another observation (Dudík, Lörinčík et al. (2019)), all constituents of this geometry were successfully identified together with the constituents of the 'rr-rf' geometry between two...
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Advanced numerical simulations in space plasma physics using Finite Element Method
Kotek, Jan ; Bárta, Miroslav (advisor) ; Varady, Michal (referee)
en.txt After an introduction into current sheet physics, with emphasis to solar physics we showed some formulations of finite element method. We implemented and evaluated new discontinuous finite element with Taylor basis and introduced deal.II library with an example of burgers equation. While the program is dimension independent, we compared our solution with a one-dimensional analytical solution. Finally, using previously derived LSFEM formulation, we solved simple current sheet problem using deal.II. Stránka 1
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