中国物理B ›› 2009, Vol. 18 ›› Issue (10): 4353-4359.doi: 10.1088/1674-1056/18/10/043

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Lattice Boltzmann simulation of fluid flows in two-dimensional channel with complex geometries

闻炳海, 刘海燕, 张超英, 王强   

  1. College of Computer Science and Information Engineering, Guangxi Normal University, Guilin 541004, China
  • 收稿日期:2008-12-02 修回日期:2009-03-12 出版日期:2009-10-20 发布日期:2009-10-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 10765002), and Guangxi Natural Science Foundation (Grant No 0542045).

Lattice Boltzmann simulation of fluid flows in two-dimensional channel with complex geometries

Wen Bing-Hai(闻炳海), Liu Hai-Yan(刘海燕), Zhang Chao-Ying(张超英)†, and Wang Qiang(王强)   

  1. College of Computer Science and Information Engineering, Guangxi Normal University, Guilin 541004, China
  • Received:2008-12-02 Revised:2009-03-12 Online:2009-10-20 Published:2009-10-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 10765002), and Guangxi Natural Science Foundation (Grant No 0542045).

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摘要： Boundary conditions (BCs) play an essential role in lattice Boltzmann (LB) simulations. This paper investigates several most commonly applied BCs by evaluating the relative L2-norm errors of the LB simulations for two-dimensional (2-D) Poiseuille flow. It is found that the relative L2-norm error resulting from FHML's BC is smaller than that from other BCs as a whole. Then, based on the FHML's BC, it formulates an LB model for simulating fluid flows in 2-D channel with complex geometries. Afterwards, the flows between two inclined plates, in a pulmonary blood vessel and in a blood vessel with local expansion region, are simulated. The numerical results are in good agreement with the analytical predictions and clearly show that the model is effective. It is expected that the model can be extended to simulate some real biologic flows, such as blood flows in arteries, vessels with stenosises, aneurysms and bifurcations, etc.

Abstract: Boundary conditions (BCs) play an essential role in lattice Boltzmann (LB) simulations. This paper investigates several most commonly applied BCs by evaluating the relative L2-norm errors of the LB simulations for two-dimensional (2-D) Poiseuille flow. It is found that the relative L2-norm error resulting from FHML's BC is smaller than that from other BCs as a whole. Then, based on the FHML's BC, it formulates an LB model for simulating fluid flows in 2-D channel with complex geometries. Afterwards, the flows between two inclined plates, in a pulmonary blood vessel and in a blood vessel with local expansion region, are simulated. The numerical results are in good agreement with the analytical predictions and clearly show that the model is effective. It is expected that the model can be extended to simulate some real biologic flows, such as blood flows in arteries, vessels with stenosises, aneurysms and bifurcations, etc.

Key words: lattice Boltzmann method, complex boundary, fluid flow, numerical simulation

中图分类号:  (Flow phenomena in quasi-one-dimensional systems)

  • 47.60.-i
47.10.-g (General theory in fluid dynamics) 47.20.Ky (Nonlinearity, bifurcation, and symmetry breaking) 47.63.Cb (Blood flow in cardiovascular system)