| A Lattice Boltzmann Model for Two-Dimensional Magnetohydrodynamics |
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| 引用本文： | 冯士德 董平 钟霖浩. A Lattice Boltzmann Model for Two-Dimensional Magnetohydrodynamics[J]. 中国物理快报, 2006, 23(10): 2823-2826 |
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| 作者姓名： | 冯士德 董平 钟霖浩 |
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| 作者单位： | [1]LACS and LASG, Institute of Atmospheric Physics, Chinese Academy of Sciences, PO Box 9804, Beijing [2]Division of Civil Engineering, School of Engineering and Physical Sciences, University of Dundee, Dundee, DD1 4HN, United Kingdom |
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| 基金项目： | Supported by the 0ne-Hundred Talents Project of Chinese Academy of Sciences under Grants Nos KCL14014 and AKCX1-02, and the Engineering and Physical Science Research Council of United Kingdom under Grant No GR/R72532. |
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| 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（u^4） in velocity u rather than the usual 0（u^3）. 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（u^4） performs much better in terms of numerical stability than those truncated at O（u^3）.
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| 关 键 词： | 晶格Boltzmann模型 二维磁流体动力学 磁场 磁分布函数 |
| 收稿时间： | 2006-07-26 |
| 修稿时间： | 2006-07-26 |
A Lattice Boltzmann Model for Two-Dimensional Magnetohydrodynamics |
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| FENG Shi-De, DONG Ping, ZHONG Lin-Hao,. A Lattice Boltzmann Model for Two-Dimensional Magnetohydrodynamics[J]. Chinese Physics Letters, 2006, 23(10): 2823-2826 |
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| Authors: | FENG Shi-De DONG Ping ZHONG Lin-Hao |
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| Affiliation: | 1.LACS and LASG, Institute of Atmospheric Physics, Chinese Academy of Sciences, PO Box 9804, Beijing ;2.Division of Civil Engineering, School of Engineering and Physical Sciences, University of Dundee, Dundee, DD1 4HN, United Kingdom |
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