@Article{CiCP-19-841,
author = {Zhiliang Xu, Dinshaw S. Balsara and Huijing Du},
title = {Divergence-Free WENO Reconstruction-Based Finite Volume Scheme for Solving Ideal MHD Equations on Triangular Meshes},
journal = {Communications in Computational Physics},
year = {2018},
volume = {19},
number = {4},
pages = {841--880},
abstract = {<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>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.050814.040915a},
url = {http://global-sci.org/intro/article_detail/cicp/11111.html}
}