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Magnetohydrodynamical Simulations Using Finite Element Method

Publication at Faculty of Mathematics and Physics |
2018

Abstract

The poster is about solving of multiscale problems in space and astrophysical plasma physics such as a magnetic reconnection and a development of magnetic fields in Solar atmosphere. Resistive MHD can be a good approximation capable to fill a gap between particle simulations and observed large-scale structures, especially when solved using Finite Element Method (FEM).

Among advantages of the very general method is the possibility to approximate a solution using non-trivial functions such as divergence free functions for magnetic field on naturally nonuniform mesh with discontinuous physical quantities. We use numerical library DEAL.II and Discontinuous Galerkin FEM to demonstrate this approach in both 2D and 3D and with an adaptive mesh refinement.

We show results of several tests including test for resistive MHD.