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Lattice Bhatnagar-Gross-Krook Simulations in 2-D Incompressible Magnetohydrodynamics
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 hydrodynami...
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Published in: | Communications in theoretical physics 2005-11, Vol.44 (5), p.917-920 |
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container_title | Communications in theoretical physics |
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creator | Ma, Chang-Feng Shi, Bao-Chang Chen, Xing-Wang |
description | 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. |
doi_str_mv | 10.1088/6102/44/5/917 |
format | article |
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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. 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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.</abstract><pub>IOP Publishing</pub><doi>10.1088/6102/44/5/917</doi><tpages>4</tpages></addata></record> |
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subjects | Hartmann流程 格子BGK模型 磁流体动力学 非压缩性 |
title | Lattice Bhatnagar-Gross-Krook Simulations in 2-D Incompressible Magnetohydrodynamics |
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