Abstract
The poster is about solving of multiscale problems in space and astrophysical plasma physics such as a magneticreconnection and a development of magnetic fields in Solar atmosphere. Resistive MHD can be a goodapproximation capable to fill a gap between particle simulations and observed large-scale structures, especiallywhen solved using Finite Element Method (FEM).
Among advantages of the very general method is the possibilityto approximate a solution using non-trivial functions such as divergence free functions for magnetic field onnaturally nonuniform mesh with discontinuous physical quantities. We use numerical library DEAL.II andDiscontinuous Galerkin FEM to demonstrate this approach in both 2D and 3D and with an adaptive meshrefinement.
We show results of several tests including Titov-Demoulin equilibrium and stability of current sheet