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Modified surface tension model for free surface flow with single-phase lattice Boltzmann method

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Journal of Shanghai University (English Edition)

Abstract

A single-phase lattice Boltzmann model with modified surface tension is developed in this paper to solve the problem of high-density-ratio free surface flow. The computational efficiency and accuracy are both enhanced. The restriction to the relaxation factor (which needs to be smaller than 1) is circumvented by the new surface tension algebra, due to its rational physical nature compared with the treatment of Xing, Buther and Yang in their paper (Comp. Mater. Sci., 2007, 39(2): 282–290). The proposed stable surface tension scheme is applied to simulate the free deformation of a square droplet with surface tension effect and the process of a droplet impinging on a liquid film. The numerical solution for free deformation of a droplet agrees well with thermodynamic principles, and also achieves high accuracy in comparison with Xing, et al.’s model. Three typical impinging modes are successfully obtained with the new scheme, and another particular mode found by Wang and Chen is also successfully simulated. The evolutions of liquid crown agree well with the power law related to time.

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Authors and Affiliations

  1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai, 200072, P. R. China

    Yong-hua Yan  (严永华) & Yue-hong Qian  (钱跃竑)

  2. Department of Mathematics, University of Texas at Arlington, Arlington, Texas, 76019, USA

    Yong-hua Yan  (严永华)

  3. School of Energy and Power Engineering, University of Shanghai for Science and Technology, Shanghai, 200093, P.R. China

    Fan Yang  (杨 帆)

  4. State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan, 430072, P. R. China

    Zhong-dong Qian  (钱忠东)

Authors
  1. Yong-hua Yan  (严永华)
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  2. Fan Yang  (杨 帆)
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  3. Zhong-dong Qian  (钱忠东)
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  4. Yue-hong Qian  (钱跃竑)
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Corresponding author

Correspondence to Fan Yang  (杨 帆).

Additional information

Project supported by the National Natural Science Foundation of China (Grant Nos.10625210, 50609020 and 10902070), and the Leading Academic Discipline Project of Shanghai Municipal Education Commission (Grant No.J50501)

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Yan, Yh., Yang, F., Qian, Zd. et al. Modified surface tension model for free surface flow with single-phase lattice Boltzmann method. J. Shanghai Univ.(Engl. Ed.) 14, 145–149 (2010). https://doi.org/10.1007/s11741-010-0213-2

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  • DOI: https://doi.org/10.1007/s11741-010-0213-2

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