›› 2015, Vol. 24 ›› Issue (1): 14703-014703.doi: 10.1088/1674-1056/24/1/014703

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇    下一篇

Lattice Boltzmann simulation of liquid–vapor system by incorporating a surface tension term

宋保维, 任峰, 胡海豹, 黄桥高   

  1. School of Marine Science and Technology, Northwestern Polytechnical University, Xi'an 710072, China
  • 收稿日期:2014-05-14 修回日期:2014-08-18 出版日期:2015-01-05 发布日期:2015-01-05
  • 基金资助:
    Project supported by the National Nature Science Foundation of China (Grant No. 51109178) and the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20116102120009).

Lattice Boltzmann simulation of liquid–vapor system by incorporating a surface tension term

Song Bao-Wei (宋保维), Ren Feng (任峰), Hu Hai-Bao (胡海豹), Huang Qiao-Gao (黄桥高)   

  1. School of Marine Science and Technology, Northwestern Polytechnical University, Xi'an 710072, China
  • Received:2014-05-14 Revised:2014-08-18 Online:2015-01-05 Published:2015-01-05
  • Contact: Song Bao-Wei E-mail:songbaowei@nwpu.edu.cn
  • Supported by:
    Project supported by the National Nature Science Foundation of China (Grant No. 51109178) and the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20116102120009).

摘要: In this study, we investigate the pseudopotential multiphase model of lattice Boltzmann method (LBM) and incorporate a surface tension term to implement the particle interaction force. By using the Carnahan-Starling (CS) equation of state (EOS) with a proper critical pressure-density ratio, a density ratio over 160000 is obtained with satisfactory numerical stability. The added surface tension term offers a flexible choice to adjust the surface tension strength. Numerical tests of the Laplace rule are conducted, proving that smaller spurious velocity and better numerical stability can be acquired as the surface tension becomes stronger. Moreover, by wall adhesion and heterogeneous cavitation tests, the surface tension term shows its practical application in dealing with problems in which the surface tension plays an important role.

关键词: lattice Boltzmann method, surface tension, pseudopotential model, numerical stability

Abstract: In this study, we investigate the pseudopotential multiphase model of lattice Boltzmann method (LBM) and incorporate a surface tension term to implement the particle interaction force. By using the Carnahan-Starling (CS) equation of state (EOS) with a proper critical pressure-density ratio, a density ratio over 160000 is obtained with satisfactory numerical stability. The added surface tension term offers a flexible choice to adjust the surface tension strength. Numerical tests of the Laplace rule are conducted, proving that smaller spurious velocity and better numerical stability can be acquired as the surface tension becomes stronger. Moreover, by wall adhesion and heterogeneous cavitation tests, the surface tension term shows its practical application in dealing with problems in which the surface tension plays an important role.

Key words: lattice Boltzmann method, surface tension, pseudopotential model, numerical stability

中图分类号:  (Multiphase flows)

  • 47.61.Jd
68.03.Cd (Surface tension and related phenomena) 47.55.D- (Drops and bubbles) 47.50.-d (Non-Newtonian fluid flows)