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Chinese Physics, 2005, Vol. 14(7): 1398-1406    DOI: 10.1088/1009-1963/14/7/023
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A new lattice Boltzmann model for incompressible magnetohydrodynamics

Chen Xing-Wang (陈兴旺), Shi Bao-Chang (施保昌)
Department of Mathematics, Huazhong University of Science and Technology,Wuhan 430074, China
Abstract  Most of the existing lattice Boltzmann magnetohydrodynamics (MHD) models can be viewed as compressible schemes to simulate incompressible MHD flows. The compressible effect might lead to some undesired errors in numerical simulations. In this paper a new incompressible lattice Boltzmann MHD model without compressible effect is presented for simulating incompressible MHD flows. Numerical simulations of the Hartmann flow are performed. We do numerous tests and make comparison with Dellar's model in detail. The numerical results are in good agreement with the analytical solutions. The scheme preserved a consistent approximation of the divergence-free condition $\nabla \cdot {{ B}}=0$ to round-off error.
Keywords:  lattice Boltzmann method      MHD      incompressible  
Received:  13 September 2004      Revised:  28 December 2004      Accepted manuscript online: 
PACS:  47.65.-d (Magnetohydrodynamics and electrohydrodynamics)  
  47.10.-g (General theory in fluid dynamics)  
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos 70271069 and 60073044).

Cite this article: 

Chen Xing-Wang (陈兴旺), Shi Bao-Chang (施保昌) A new lattice Boltzmann model for incompressible magnetohydrodynamics 2005 Chinese Physics 14 1398

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