Open AccessGas-Kinetic BGK Scheme for Three Dimensional Magnetohydrodynamics
Author(s) -
Hao Tang,
Kun Xu,
Chunpei Cai
Publication year - 2010
Publication title -
numerical mathematics
Language(s) - English
Resource type - Journals
eISSN - 2079-7338
pISSN - 1004-8979
DOI - 10.4208/nmtma.2010.m9007
Subject(s) - magnetohydrodynamics , ideal (ethics) , dissipation , kinetic energy , physics , scheme (mathematics) , mathematics , statistical physics , classical mechanics , computer science , mathematical analysis , magnetic field , thermodynamics , quantum mechanics , law , political science
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