TY - JOUR
T1 - Gas-Kinetic BGK Scheme for Three Dimensional Magnetohydrodynamics
AU - Huazhong Tang, Kun Xu & Chunpei Cai
JO - Numerical Mathematics: Theory, Methods and Applications
VL - 4
SP - 387
EP - 404
PY - 2010
DA - 2010/03
SN - 3
DO - http://doi.org/10.4208/nmtma.2010.m9007
UR - https://global-sci.org/intro/article_detail/nmtma/6005.html
KW - The kinetic BGK scheme, magnetohydrodynamics, divergence-free condition.
AB - <p style="text-align: justify;">The gas-kinetic theory based flux splitting method has been
successfully proposed for solving one- and two-dimensional ideal
magnetohydrodynamics by Xu et al. [J. Comput. Phys., 1999;
2000], respectively. This paper extends the kinetic method to solve
three-dimensional ideal magnetohydrodynamics equations, where an
adaptive parameter $\eta$ is used to control the numerical
dissipation in the flux splitting method. Several numerical examples
are given to demonstrate that the proposed method can achieve high
numerical accuracy and resolve strong discontinuous waves in three
dimensional ideal MHD problems.</p>