A multigrid AMR algorithm for the study of magnetic reconnection

We address the study of reconnecting instabilities in magnetized plasmas, a highly multiscale process, using an innovative adaptive scheme based on Adaptive Mesh Refinement (AMR) and Multigrid Algorithms. The reduced model we exploit is very sensitive to numerical errors and demands high order solvers which we develop for this purpose. We validate our approach with two numerical experiments of physical interest.