A lattice boltzmann model for two-dimensional magnetohydrodynamics

被引：2

作者：

LACS and LASG, Institute of Atmospheric Physics, Chinese Academy of Sciences, PO Box 9804, Beijing, China ^{[1
]}

不详 ^{[2
]}

机构：

[1] LACS and LASG, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing

[2] Division of Civil Engineering, School of Engineering and Physical Sciences, University of Dundee, Dundee

来源：

Chin. Phys. Lett. | 2006年 / 10卷 / 2823-2826期

关键词：

Magnetohydrodynamics;

D O I：

10.1088/0256-307X/23/10/054

中图分类号：

学科分类号：

摘要：

A lattice Boltzmann model (LBM) has been developed for simulating magnetohydrodynamics (MHD) along the line of Dellar [J. Comput. Phys. 179(2002)95]. In this model the magnetic field is presented by a vector valued magnetic distribution function which obeys a vector Boltzmann equation. The truncated error of the equilibrium distribution in the present model is up to order O(u4) in velocity u rather than the usual O(u3). For verification, the model is applied to solve the shock tube problem and the main features of the flow predicted by the model are found to compare well with the corresponding results obtained with high-order semi-discrete schemes [J. Comput. Phys. 201(2004)261]. The numerical experiments have also shown that the present LBM model with the equilibrium distribution truncated at O(u4) performs much better in terms of numerical stability than those truncated at O(u3). © 2006 Chinese Physical Society and IOP Publishing Ltd.

引用

页码：2823 / 2826

页数：3

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