Solution of Reduced Resistive Magnetohydrodynamics using Implicit Adaptive Mesh Refinement

Computational study of the macroscopic stability of plasmas is a challenging multi-scale problem. Implicit time integration can be used to relieve stability constraints due to fast Alfven waves, and adaptive mesh refinement (AMR) can be used to resolve highly localized solution features. The strong nonlinearities and numerical stiffness of magnetohydrodynamics (MHD) models present further challenges that must be solved to make implicit AMR practical. We present initial results on the application of implicit AMR to a reduced resistive MHD model.