Lattice Bhatnagar-Gross-Krook Simulations in 2-D Incompressible Magnetohydrodynamics |
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Authors: | MA Chang-Feng SHI Bao-Chang CHEN Xing-Wang |
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Affiliation: | College of Mathematics and Physics, Zhejiang Normal University, Jinhua 321004, China;Department of Comput. Sci. and Math., Guilin University of Electron. Tech., Guilin 541004, China;Department of Mathematics, Huazhong University of Science and Technology, Wuhan 430074, China Department of Mathematics, Huazhong University of Science and Technology, Wuhan 430074, China Department of Mathematics, Huazhong University of Science and Technology, Wuhan 430074, China |
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Abstract: | Lattice Boltzmann Method is recently developed within numerical schemes for simulating a variety of physical systems. In this paper a new lattice Bhatnagar-Gross-Krook (LBGK) model for two-dimensional incompressible magnetohydrodynamics (IMHD) is presented. The model is an extension of a hydrodynamics lattice BGK model with 9 velocities on a square lattice, resulting in a model with 17 velocities. Most of the existing LBGK models for MHD can be viewed as compressible schemes to simulate incompressible flows. The compressible effect might lead to some undesirable errors in numerical simulations. In our model the compressible effect has been overcome successfully. The model is then applied to the Hartmann flow, giving reasonable results. |
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Keywords: | lattice BGK model incompressible magnetohydrodynamics |
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