Divergence-Free WENO Reconstruction-Based Finite Volume Scheme for   Solving Ideal MHD Equations on Triangular Meshes
  In this paper, we introduce a high-order accurate constrained transport type finite volume method to solve ideal magnetohydrodynamic equations on two-dimensional triangular meshes. A new divergence-free WENO-based reconstruction method is developed to maintain exactly divergence-free evolution of the numerical magnetic field. A new weighted flux interpolation approach is also developed to compute the z-component of the electric field at vertices of grid cells. We also present numerical examples to demonstrate the accuracy and robustness of the proposed scheme. 
Zhiliang Xu and Dinshaw Balsara
physics.comp-ph