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: | 1. College of Mathematics and Physics, Zhejiang NormalUniversity, Jinhua 321004, China;2. Department of Comput. Sci. and Math., Guilin University ofElectron. Tech., Guilin 541004, China;3. 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 schemesfor simulating a variety of physical systems. In this paper a newlattice Bhatnagar-Gross-Krook (LBGK) model for two-dimensionalincompressible 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. Thecompressible effect might lead to some undesirable errors in numerical simulations. In our model the compressible effect has been overcome successfully. The model is thenapplied to the Hartmann flow, giving reasonable results. |
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| Keywords: | lattice BGK model incompressible magnetohydrodynamics |
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