Color-gradient lattice Boltzmann model for simulating droplet motion with contact-angle hysteresis

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 88, Issue 4, 2013, Pages

  Ba, Yan ^a   Liu, Haihu ^b   Sun, Jinju ^a   Zheng, Rongye ^a  

^a XI'AN JIAOTONG UNIVERSITY   (China)

^b University of Illinois at Urbana Champaign   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONTINUUM SURFACE FORCES; DYNAMIC CONTACT ANGLE; LATTICE BOLTZMANN METHODS (LBM); LATTICE BOLTZMANN MODELS; MICROSCOPIC DYNAMICS; NUMERICAL ALGORITHMS; RECOLORING OPERATORS; THEORETICAL SOLUTIONS;

ALGORITHMS; COLOR; COMPUTATIONAL FLUID DYNAMICS; CONTACT ANGLE; DROPS; WETTING;

HYSTERESIS;

EID: 84886650875     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.88.043306     Document Type: Article

References (35)

1. T. D. Blake, J. Colloid Interface Sci. JCISA5 0021-9797 10.1016/j.jcis.2006.03.051 299, 1 (2006).
2. C. W. Hirt and B. D. Nichols, J. Comput. Phys. JCTPAH 0021-9991 10.1016/0021-9991(81)90145-5 39, 201 (1981).
3. M. Renardy, Y. Renardy, and J. Li, J. Comput. Phys. JCTPAH 0021-9991 10.1006/jcph.2001.6785 171, 243 (2001).
4. S. Osher and R. Fedkiw, Level Set Methods and Dynamic Implicit Surfaces (Springer, New York, 2002).
5. S. Zahedi, K. Gustavsson, and G. Kreiss, J. Comput. Phys. JCTPAH 0021-9991 10.1016/j.jcp.2009.05.043 228, 6361 (2009).
6. K. Kadau, J. L. Barber, T. C. Germann, B. L. Holian, and B. J. Alder, Philos. Trans. R. Soc. London, Ser. A 10.1098/rsta.2009.0218 368, 1547 (2010).
7. C. K. Aidun and J. R. Clausen, Annual Review of Fluid Mechanics (Annual Reviews, Palo Alto, 2010), p. 439.
8. H. Liu and Y. Zhang, J. Comput. Phys. JCTPAH 0021-9991 10.1016/j.jcp.2010.08.031 229, 9166 (2010).
9. H. Liu, Y. Zhang, and A. J. Valocchi, J. Comput. Phys. JCTPAH 0021-9991 10.1016/j.jcp.2012.02.015 231, 4433 (2012).
10. X. Shan and H. Chen, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.47. 1815 47, 1815 (1993).
11. M. R. Swift, E. Orlandini, W. R. Osborn, and J. M. Yeomans, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.54.5041 54, 5041 (1996).
12. A. K. Gunstensen, D. H. Rothman, S. Zaleski, and G. Zanetti, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.43.4320 43, 4320 (1991).
13. M. Latva-Kokko and D. H. Rothman, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.71.056702 71, 056702 (2005).
14. S. V. Lishchuk, C. M. Care, and I. Halliday, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.67.036701 67, 036701 (2003).
15. D. Grunau, S. Y. Chen, and K. Eggert, Phys. Fluids A 10.1063/1.858769 5, 2557 (1993).
16. T. Reis and T. N. Phillips, J. Phys. A: Math. Theor. 10.1088/1751-8113/ 40/14/018 40, 4033 (2007).
17. H. Liu, A. J. Valocchi, and Q. Kang, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.85.046309 85, 046309 (2012).
18. M. Latva-Kokko and D. H. Rothman, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.72.046701 72, 046701 (2005).
19. M. Latva-Kokko and D. H. Rothman, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.254503 98, 254503 (2007).
20. H. Liu and Y. Zhang, Phys. Fluids PHFLE6 1070-6631 10.1063/1.3615643 23, 082101 (2011).
21. A. P. Hollis, T. J. Spencer, I. Halliday, and C. M. Care, IMA J. Appl. Math. IJAMDM 0272-4960 10.1093/imamat/hxr008 76, 726 (2011).
22. R. G. Cox, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112086000332 168, 169 (1986).
23. P. Sheng and M. Zhou, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.45. 5694 45, 5694 (1992).
24. P. G. de Gennes, Rev. Mod. Phys. 10.1103/RevModPhys.57.827 57, 827 (1985).
25. R. Tadmor, Langmuir LANGD5 0743-7463 10.1021/la049410h 20, 7659 (2004).
26. J. K. Park and K. H. Kang, Phys. Fluids PHFLE6 1070-6631 10.1063/1.4707703 24, 042105 (2012).
27. J.-B. Dupont and D. Legendre, J. Comput. Phys. JCTPAH 0021-9991 10.1016/j.jcp.2009.07.034 229, 2453 (2010).
28. I. Halliday, A. P. Hollis, and C. M. Care, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.76.026708 76, 026708 (2007).
29. Z. Guo, C. Zheng, and B. Shi, Phys. Rev. E 10.1103/PhysRevE.65.046308 65, 046308 (2002).
30. C. D. Cantrell, Meas. Sci. Technol. 10.1088/0957-0233/12/12/702 12, 2211 (2001).
31. P. D. M. Spelt, J. Comput. Phys. JCTPAH 0021-9991 10.1016/j.jcp.2005.01. 016 207, 389 (2005).
32. B. Lavi and A. Marmur, Colloids Surf., A 10.1016/j.colsurfa.2004.04.079 250, 409 (2004).
33. A. J. C. Ladd, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112094001771 271, 285 (1994).
34. A. D. Schleizer and R. T. Bonnecaze, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112098003462 383, 29 (1999).
35. P. D. M. Spelt, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112006000954 561, 439 (2006).