TY - JOUR
T1 - Divergence-Free WENO Reconstruction-Based Finite Volume Scheme for Solving Ideal MHD Equations on Triangular Meshes
AU - Zhiliang Xu, Dinshaw S. Balsara & Huijing Du
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 - <p style="text-align: justify;">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.</p>