An Improved Single-Phase Free-Surface Lattice Boltzmann Model with Surface Tension and Wall Adhesion

Abstract:

Free-surface model with surface tension and wall adhesion(wetting) is a very efficient technique to simulate two-phase flows with high density and viscosity ratios, such as etching and casting processes. In this paper, a conservative surface tension and wall adhesion model based on lattice Boltzmann single-phase free-surface method is proposed. The effectiveness of the model is demonstrated by simulating the flows induced by wall adhesion and surface tension, and filling processes in a 2D cavity.

• Periodical: Applied Mechanics and Materials (Volumes 300-301)
• Pages: 1062-1066
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.300-301.1062
• Online since: February 2013
• Authors: Yang Yu, Li Chen, Jian Hua Lu, Guo Xiang Hou
• Keywords: Conservative Surface Tension, Filling Process, Lattice Boltzmann, Single-Phase Free-Surface, Wall Adhesion

References

[1] I. Ginzburg and K. Steiner: J. Comp. Phys. Vol. 185 (2003), p.61.

[2] C. Körner, M. Thies, T. Hofmann, N. Thürey and U. Rüde: J. Stat. Phys. Vol. 121 (2005), p.179.

[3] N. Thürey, U. Rüde and C. Körner: Technical Report05-4 (University of Erlangen-Nuremberg, Germany 2005).

[4] X. Q. Xing, D. L. Butler and C. Yang: Comput. Mater. Sci. Vol. 39 (2007), p.282.

[5] B. Lafaurie, C. Nardone, R. Scardovelli, S. Zaleski and G. Zanetti: J. Comp. Phys. Vol. 113 (1994), p.134.

[6] J. U. Brackbill, D. B. Kothe and C. Zemach: J. Comp. Phys. Vol. 100 (1992), p.335.

[7] P. L. Bhatnagar, E. P. Gross and M. Krook: Phys. Rev. Vol. 94 (1954), p.511.

[8] Y. H. Qian, D. D'Humieres and P. Lallemand: Europhys. Lett. Vol. 17 (1992), p.479.

[9] Z. Guo, C. Zheng and B. Shi: Phys. Rev. E Vol. 65 (2002), p.046308.