@Article{CiCP-21-2,
author = {},
title = {An Efficient Implementation of the Divergence Free Constraint in a Discontinuous Galerkin Method for Magnetohydrodynamics on Unstructured Meshes},
journal = {Communications in Computational Physics},
year = {2017},
volume = {21},
number = {2},
pages = {423--442},
abstract = {<p style="text-align: justify;">In this paper we consider a discontinuous Galerkin discretization of the
ideal magnetohydrodynamics (MHD) equations on unstructured meshes, and the divergence
free constraint (∇·B = 0) of its magnetic field B. We first present two approaches
for maintaining the divergence free constraint, namely the approach of a locally
divergence free projection inspired by locally divergence free elements [19], and
another approach of the divergence cleaning technique given by Dedner et al. [15]. By
combining these two approaches we obtain an efficient method at the almost same numerical
cost. Finally, numerical experiments are performed to show the capacity and
efficiency of the scheme.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.180515.230616a},
url = {https://global-sci.com/article/80084/an-efficient-implementation-of-the-divergence-free-constraint-in-a-discontinuous-galerkin-method-for-magnetohydrodynamics-on-unstructured-meshes}
}