TY - JOUR T1 - Divergence-Free WENO Reconstruction-Based Finite Volume Scheme for Solving Ideal MHD Equations on Triangular Meshes JO - Communications in Computational Physics VL - 4 SP - 841 EP - 880 PY - 2018 DA - 2018/04 SN - 19 DO - http://doi.org/10.4208/cicp.050814.040915a UR - https://global-sci.org/intro/article_detail/cicp/11111.html KW - AB -

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. In this formulation, the normal component of the magnetic field at each face of a triangle is reconstructed uniquely and with the desired order of accuracy. Additionally, 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.