中国物理B ›› 2004, Vol. 13 ›› Issue (1): 47-53.doi: 10.1088/1009-1963/13/1/010

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Lattice Boltzmann method for three-dimensional moving particles in a Newtonian fluid

Chen Shi-Yi1, 方海平2   

  1. (1)Department of Mechanical Engineering, the Johns Hopkins University, MD 21218, USA; (2)Shanghai Institute of Nuclear Research, Chinese Academy of Sciences, Shanghai 201800, China; Department of Mechanical Engineering, the Johns Hopkins University, MD 21218, USA
  • 收稿日期:2003-05-23 修回日期:2003-09-01 出版日期:2004-01-22 发布日期:2007-03-22
  • 基金资助:
    Project supported in part by the National Natural Science Foundation of China (Grant No 19904004).

Lattice Boltzmann method for three-dimensional moving particles in a Newtonian fluid

Fang Hai-Ping (方海平)ab, Chen Shi-Yib    

  1. a Shanghai Institute of Nuclear Research, Chinese Academy of Sciences, Shanghai 201800, China; b  Department of Mechanical Engineering, the Johns Hopkins University, MD 21218, USA
  • Received:2003-05-23 Revised:2003-09-01 Online:2004-01-22 Published:2007-03-22
  • Supported by:
    Project supported in part by the National Natural Science Foundation of China (Grant No 19904004).

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摘要： A lattice Boltzmann method is developed to simulate three-dimensional solid particle motions in fluids. In the present model, a uniform grid is used and the exact spatial location of the physical boundary of the suspended particles is determined using an interpolation scheme. The numerical accuracy and efficiency of the proposed lattice Boltzmann method is demonstrated by simulating the sedimentation of a single sphere in a square cylinder. Highly accurate simulation results can be achieved with few meshes, compared with the previous lattice Boltzmann methods. The present method is expected to find applications on the flow systems with moving boundaries, such as the blood flow in distensible vessels, the particle－flow interaction and the solidification of alloys.

关键词: lattice Boltzmann method, suspension, Newtonian fluid

Abstract: A lattice Boltzmann method is developed to simulate three-dimensional solid particle motions in fluids. In the present model, a uniform grid is used and the exact spatial location of the physical boundary of the suspended particles is determined using an interpolation scheme. The numerical accuracy and efficiency of the proposed lattice Boltzmann method is demonstrated by simulating the sedimentation of a single sphere in a square cylinder. Highly accurate simulation results can be achieved with few meshes, compared with the previous lattice Boltzmann methods. The present method is expected to find applications on the flow systems with moving boundaries, such as the blood flow in distensible vessels, the particle－flow interaction and the solidification of alloys.

Key words: lattice Boltzmann method, suspension, Newtonian fluid

中图分类号:  (Computational methods in fluid dynamics)

  • 47.11.-j
47.55.Kf (Particle-laden flows)