Force imbalance in lattice Boltzmann equation for two-phase flows

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

Volumn 83, Issue 3, 2011, Pages

  Guo, Zhaoli ^a,b   Zheng, Chuguang ^b   Shi, Baochang ^b  

^a RESEARCH INSTITUTE OF PETROLEUM EXPLORATION AND DEVELOPMENT   (China)

^b HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

CHAPMAN-ENSKOG EXPANSION; DISCRETE LATTICES; FLAT INTERFACE; FORCE BALANCES; INTERACTION FORCES; INTERFACIAL DYNAMICS; LATTICE BOLTZMANN EQUATIONS; NUMERICAL ERRORS;

MULTIPHASE FLOW; PHASE INTERFACES;

BOLTZMANN EQUATION;

EID: 79961091512     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.83.036707     Document Type: Article

References (39)

1. R. Benzi, S. Succi, and M. Vergassola, Phys. Rep. PRPLCM 0370-1573 10.1016/0370-1573(92)90090-M 222, 145 (1992);
2. S. Chen and G. D. Doolen, Annu. Rev. Fluid Mech. ARVFA3 0066-4189 10.1146/annurev.fluid.30.1.329 30, 329 (1998);
3. C. K. Aidun and J. R. Clausen, Annu. Rev. Fluid Mech. ARVFA3 0066-4189 10.1146/annurev-fluid-121108-145519 42, 439 (2010);
4. S. Succi, The Lattice Boltzmann Equation for Fluid Dynamics and Beyond (Oxford University Press, Oxford, 2001).
5. F. J. Alexander, S. Chen, and D. W. Grunau, Phys. Rev. B ARVFA3 1098-0121 10.1103/PhysRevB.48.634 48, 634 (1993);
6. X. He, S. Chen, and R. Zhang, J. Comput. Phys. JCTPAH 0021-9991 10.1006/jcph.1999.6257 152, 642 (1999);
7. I. Ginzburg and K. Steiner, J. Comput. Phys. JCTPAH 0021-9991 10.1016/S0021-9991(02)00048-7 185, 61 (2003); (Pubitemid 36269993)
8. A. J. Briant, A. J. Wagner, and J. M. Yeomans, Phys. Rev. E JCTPAH 1539-3755 10.1103/PhysRevE.69.031602 69, 031602 (2004);
9. R. Benzi, L. Biferale, M. Sbragaglia, S. Succi, and F. Toschi, Phys. Rev. E 1539-3755 10.1103/PhysRevE.74.021509 74, 021509 (2006); (Pubitemid 44319276)
10. C. Pan, M. Hilpert, and C. T. Miller, Water Resour. Res. WRERAQ 0043-1397 10.1029/2003WR002120 40, W01501 (2004).
11. 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).
12. X. Shan and H. Chen, Phys. Rev. E PLRAAN 1539-3755 10.1103/PhysRevE.47. 1815 47, 1815 (1993).
13. H. Chen, S. Chen, G. D. Doolen, Y. C. Lee, and H. A. Rose, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.40.2850 40, 2850 (1989).
14. M. R. Swift, W. R. Osborn, and J. M. Yeomans, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.75.830 75, 830 (1995).
15. X. He, X. Shan, and G. D. Doolen, Phys. Rev. E PRLTAO 1539-3755 10.1103/PhysRevE.57.R13 57, R13 (1998).
16. L.-S. Luo, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.1618 81, 1618 (1998);
17. L.-S. Luo, Phys. Rev. E PRLTAO 1539-3755 10.1103/PhysRevE.62.4982 62, 4982 (2000).
18. T. Abe, J. Comput. Phys. JCTPAH 0021-9991 10.1006/jcph.1996.5595 131, 241 (1997); (Pubitemid 127341394)
19. X. He and L.-S. Luo, Phys. Rev. E JCTPAH 1539-3755 10.1103/PhysRevE.55. R6333 55, R6333 (1997);
20. X. Shan and X. He, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 80.65 80, 65 (1998).
21. X. He, S. Chen, and R. Zhang, J. Comput. Phys. JCTPAH 0021-9991 10.1006/jcph.1999.6257 152, 642 (1999).
22. X. He and G. D. Doolen, J. Stat. Phys. JSTPBS 0022-4715 10.1023/A:1014527108336 107, 309 (2002). (Pubitemid 37133856)
23. N. S. Martys, Int. J. Mod. Phys. C IJMPEO 0129-1831 10.1142/ S0129183199001121 10, 1367 (1999);
24. Q. Zou and X. He, Phys. Rev. E IJMPEO 1539-3755 10.1103/PhysRevE.59.1253 59, 1253 (1999);
25. Z. L. Guo and T. S. Zhao, Phys. Rev. E 1539-3755 10.1103/PhysRevE.68. 035302 68, 035302 (R) (2003).
26. D. Chiappini, G. Bella, S. Succi, F. Toschi, and S. Ubertini, Commun. Comput. Phys. 7, 423 (2010).
27. R. R. Nourgaliev, T. N. Dinh, and B. R. Sehgal, Nucl. Eng. Des. NEDEAU 0029-5493 10.1016/S0029-5493(01)00435-6 211, 153 (2002). (Pubitemid 34105507)
28. A. Cristea and V. Sofonea, Int. J. Mod. Phys. C IJMPEO 0129-1831 10.1142/S0129183103005388 14, 1251 (2003). (Pubitemid 38430406)
29. A. J. Wagner, Int. J. Mod. Phys. B IJPBEV 0217-9792 10.1142/ S0217979203017448 17, 193 (2003).
30. T. Lee and P. F. Fischer, Phys. Rev. E IJPBEV 1539-3755 10.1103/PhysRevE.74.046709 74, 046709 (2006). (Pubitemid 44643625)
31. X. Shan, Phys. Rev. E IJPBEV 1539-3755 10.1103/PhysRevE.73.047701 73, 047701 (2006).
32. M. Sbragaglia, R. Benzi, L. Biferale, S. Succi, K. Sugiyama, and F. Toschi, Phys. Rev. E IJPBEV 1539-3755 10.1103/PhysRevE.75.026702 75, 026702 (2007).
33. C. M. Pooley and K. Furtado, Phys. Rev. E IJPBEV 1539-3755 10.1103/PhysRevE.77.046702 77, 046702 (2008). (Pubitemid 351607660)
34. D. Jamet, D. Torres, and J. U. Brackbill, J. Comput. Phys. JCTPAH 0021-9991 10.1006/jcph.2002.7165 182, 262 (2002).
35. Y. Renardy and M. Renardy, J. Comput. Phys. JCTPAH 0021-9991 10.1006/jcph.2002.7190 183, 400 (2002). (Pubitemid 36100562)
36. R. Scardovelli and S. Zaleski, Ann. Rev. Fluid Mech. ARVFA3 0066-4189 10.1146/annurev.fluid.31.1.567 31, 567 (1999). (Pubitemid 36175101)
37. Z. L. Guo, C. G. Zheng, and B. C. Shi, Phys. Rev. E ARVFA3 1539-3755 10.1103/PhysRevE.65.046308 65, 046308 (2002). (Pubitemid 40618993)
38. M. Junk and A. Klar, SIAM J. Sci. Comput. SJOCE3 1064-8275 10.1137/S1064827599357188 22, 1 (2000); (Pubitemid 32277316)
39. M. Junk, A. Klar, and L.-S. Luo, J. Comput. Phys. JCTPAH 0021-9991 10.1016/j.jcp.2005.05.003 210, 676 (2005). (Pubitemid 41179665)