TY - JOUR
T1 - An Efficient Implementation of the Divergence Free Constraint in a Discontinuous Galerkin Method for Magnetohydrodynamics on Unstructured Meshes
AU - Christian Klingenberg, Frank Pörner & Yinhua Xia
JO - Communications in Computational Physics
VL - 2
SP - 423
EP - 442
PY - 2018
DA - 2018/04
SN - 21
DO - http://doi.org/10.4208/cicp.180515.230616a
UR - https://global-sci.org/intro/article_detail/cicp/11244.html
KW - 
AB - <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>