Three-dimensional lattice Boltzmann model for immiscible two-phase flow simulations

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

Volumn 85, Issue 4, 2012, Pages

  Liu, Haihu ^a   Valocchi, Albert J ^a   Kang, Qinjun ^b  

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

^b LOS ALAMOS NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BINARY FLUIDS; BUOYANCY FORCES; CAPILLARY NUMBERS; CONTINUUM SURFACE FORCES; CREEPING FLOWS; DENSITY RATIO; DROPLET BREAKUP; DROPLET DEFORMATION; LAPLACE LAW; LATTICE BOLTZMANN MODELS; MOMENTUM CONSERVATIONS; MORTON NUMBERS; NUMERICAL RESULTS; PHASE SEGREGATIONS; RECOLORING; RECOLORING ALGORITHMS; SIMPLE SHEAR FLOW; SINGLE BUBBLES; SPURIOUS VELOCITY; TAYLOR RELATION; THEORETICAL EXPRESSION; THEORETICAL PREDICTION; THREE-DIMENSIONAL LATTICES; VARIABLE VISCOSITY; VISCOSITY RATIOS; VISCOUS FLUIDS;

CAPILLARITY; DEFORMATION; DROP BREAKUP; PHASE SEPARATION; REYNOLDS NUMBER; THREE DIMENSIONAL COMPUTER GRAPHICS;

THREE DIMENSIONAL;

EID: 84860476278     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.85.046309     Document Type: Article

References (69)

1. S. O. Unverdi and G. Tryggvason, J. Comput. Phys. JCTPAH 0021-9991 10.1016/0021-9991(92)90307-K 100, 25 (1992).
2. D. Juric and G. Tryggvason, J. Comput. Phys. JCTPAH 0021-9991 10.1006/jcph.1996.0011 123, 127 (1996). (Pubitemid 126161380)
3. G. Tryggvason, B. Bunner, A. Esmaeeli, D. Juric, N. Al-Rawahi, W. Tauber, J. Han, S. Nas, and Y.-J. Jan, J. Comput. Phys. JCTPAH 0021-9991 10.1006/jcph.2001.6726 169, 708 (2001). (Pubitemid 33665464)
4. C. Hirt and B. Nichols, J. Comput. Phys. JCTPAH 0021-9991 10.1016/0021-9991(81)90145-5 39, 201 (1981).
5. W. J. Rider and D. B. Kothe, J. Comput. Phys. JCTPAH 0021-9991 10.1006/jcph.1998.5906 141, 112 (1998). (Pubitemid 128346748)
6. D. Gueyffier, J. Li, A. Nadim, R. Scardovelli, and S. Zaleski, J. Comput. Phys. JCTPAH 0021-9991 10.1006/jcph.1998.6168 152, 423 (1999).
7. J. E. Pilliod Jr. and E. G. Puckett, J. Comput. Phys. JCTPAH 0021-9991 10.1016/j.jcp.2003.12.023 199, 465 (2004). (Pubitemid 39223829)
8. S. Osher and J. A. Sethian, J. Comput. Phys. JCTPAH 0021-9991 10.1016/0021-9991(88)90002-2 79, 12 (1988).
9. M. Sussman, E. Fatemi, P. Smereka, and S. Osher, Comput. Fluids CPFLBI 0045-7930 10.1016/S0045-7930(97)00053-4 27, 663 (1998). (Pubitemid 28437604)
10. S. Osher and R. P. Fedkiw, Level Sets Methods and Dynamic Implicit Surfaces (Springer, Berlin, 2003).
11. X. Yang, A. J. James, J. Lowengrub, X. Zheng, and V. Cristini, J. Comput. Phys. JCTPAH 0021-9991 10.1016/j.jcp.2006.01.007 217, 364 (2006). (Pubitemid 44340978)
12. R. Scardovelli and S. Zalesk, Annu. Rev. Fluid Mech. ARVFA3 0066-4189 10.1146/annurev.fluid.31.1.567 31, 567 (1999). (Pubitemid 36175101)
13. X. He, S. Chen, and R. Zhang, J. Comput. Phys. JCTPAH 0021-9991 10.1006/jcph.1999.6257 152, 642 (1999).
14. H.-Y. Chen, D. Jasnow, and J. Viñals, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.85.1686 85, 1686 (2000).
15. C. K. Aidun and J. R. Clausen, Annu. Rev. Fluid Mech. ARVFA3 0066-4189 10.1146/annurev-fluid-121108-145519 42, 439 (2010).
16. J. Zhang, Microfluid. Nanofluid. 1613-4982 10.1007/s10404-010-0624-1 10, 1 (2011).
17. X. He and L.-S. Luo, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.55. R6333 55, R6333 (1997).
18. S. Chen and G. D. Doolen, Annu. Rev. Fluid Mech. ARVFA3 0066-4189 10.1146/annurev.fluid.30.1.329 30, 329 (1998).
19. M. M. Dupin, I. Halliday, and C. M. Care, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.73.055701 73, 055701 (2006). (Pubitemid 43760950)
20. H. Kusumaatmaja, J. Léopoldès, A. Dupuis, and J. M. Yeomans, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2005-10452-0 73, 740 (2006). (Pubitemid 43382769)
21. H. Liu and Y. Zhang, J. Comput. Phys. JCTPAH 0021-9991 10.1016/j.jcp.2010.08.031 229, 9166 (2010).
22. H. Liu and Y. Zhang, Phys. Fluids PHFLE6 1070-6631 10.1063/1.3615643 23, 082101 (2011).
23. W. Wang, Z. Liu, Y. Jin, and Y. Cheng, Chem. Eng. J. CMEJAJ 1385-8947 10.1016/j.cej.2011.08.040 173, 828 (2011).
24. 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).
25. D. H. Rothman and J. M. Keller, J. Stat. Phys. JSTPBS 0022-4715 10.1007/BF01019743 52, 1119 (1988).
26. D. Grunau, S. Chen, and K. Eggert, Phys. Fluids A PFADEB 0899-8213 10.1063/1.858769 5, 2557 (1993).
27. X. Shan and H. Chen, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.47. 1815 47, 1815 (1993).
28. P. Yuan and L. Schaefer, Phys. Fluids PHFLE6 1070-6631 10.1063/1.2187070 18, 042101 (2006). (Pubitemid 43983190)
29. M. Sbragaglia, R. Benzi, L. Biferale, S. Succi, K. Sugiyama, and F. Toschi, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.75.026702 75, 026702 (2007).
30. A. Kupershtokh, D. Medvedev, and D. Karpov, Comput. Math. Appl. CMAPDK 0898-1221 10.1016/j.camwa.2009.02.024 58, 965 (2009).
31. M. R. Swift, E. Orlandini, W. R. Osborn, and J. M. Yeomans, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.54.5041 54, 5041 (1996).
32. R. van der Sman and S. van der Graaf, Comput. Phys. Commun. CPHCBZ 0010-4655 10.1016/j.cpc.2007.11.009 178, 492 (2008).
33. R. Nourgaliev, T. Dinh, T. Theofanous, and D. Joseph, Int. J. Multiphase Flow IJMFBP 0301-9322 10.1016/S0301-9322(02)00108-8 29, 117 (2003). (Pubitemid 36145054)
34. H. Zheng, C. Shu, and Y. Chew, J. Comput. Phys. JCTPAH 0021-9991 10.1016/j.jcp.2006.02.015 218, 353 (2006). (Pubitemid 44364193)
35. T. Inamuro, T. Ogata, S. Tajima, and N. Konishi, J. Comput. Phys. JCTPAH 0021-9991 10.1016/j.jcp.2004.01.019 198, 628 (2004). (Pubitemid 38999055)
36. A. Fakhari and M. H. Rahimian, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.81.036707 81, 036707 (2010).
37. T. Lee and L. Liu, J. Comput. Phys. JCTPAH 0021-9991 10.1016/j.jcp.2010. 07.007 229, 8045 (2010).
38. H. Huang, H. Zheng, X.-Y. Lu, and C. Shu, Int. J. Numer. Methods Fluids 63, 1193 (2010).
39. S. V. Lishchuk, C. M. Care, and I. Halliday, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.67.036701 67, 036701 (2003).
40. J. U. Brackbill, D. B. Kothe, and C. Zemach, J. Comput. Phys. JCTPAH 0021-9991 10.1016/0021-9991(92)90240-Y 100, 335 (1992).
41. M. Latva-Kokko and D. H. Rothman, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.71.056702 71, 056702 (2005). (Pubitemid 41481060)
42. L. Wu, M. Tsutahara, L. S. Kim, and M. Ha, Int. J. Multiphase Flow IJMFBP 0301-9322 10.1016/j.ijmultiphaseflow.2008.02.009 34, 852 (2008).
43. T. Reis and T. N. Phillips, J. Phys. A 1751-8113 10.1088/1751-8113/40/14/ 018 40, 4033 (2007).
44. J. Tölke, M. Krafczyk, M. Schulz, and E. Rank, Philos. Trans. R. Soc. London PTRMAD 1364-503X 10.1098/rsta.2001.0944 360, 535 (2002).
45. I. Halliday, R. Law, C. M. Care, and A. Hollis, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.73.056708 73, 056708 (2006). (Pubitemid 43799943)
46. I. Halliday, A. P. Hollis, and C. M. Care, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.76.026708 76, 026708 (2007). (Pubitemid 47358542)
47. S. V. Lishchuk, I. Halliday, and C. M. Care, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.77.036702 77, 036702 (2008). (Pubitemid 351415900)
48. M. Latva-Kokko and D. H. Rothman, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.72.046701 72, 046701 (2005). (Pubitemid 41778008)
49. M. Mendoza, F. K. Wittel, and H. J. Herrmann, Eur. Phys. J. E EPJSFH 1292-8941 10.1140/epje/i2010-10629-8 32, 339 (2010).
50. C.-H. Shih, C.-L. Wu, L.-C. Chang, and C.-A. Lin, Philos. Trans. R. Soc., A PTRMAD 1364-503X 10.1098/rsta.2011.0073 369, 2510 (2011).
51. G. I. Taylor, Proc. R. Soc. London, Ser. A 1364-5021 10.1098/rspa.1932. 0169 138, 41 (1932).
52. J. Li, Y. Y. Renardy, and M. Renardy, Phys. Fluids PHFLE6 1070-6631 10.1063/1.870305 12, 269 (2000).
53. H. P. Grace, Chem. Eng. Commun. CEGCAK 0098-6445 10.1080/ 00986448208911047 14, 225 (1982).
54. P. V. Puyvelde, H. Yang, J. Mewis, and P. Moldenaersb, J. Rheol. JORHD2 0148-6055 10.1122/1.1315309 44, 1401 (2000). (Pubitemid 32084838)
55. V. Cristini, S. Guido, A. Alfani, J. Blawzdziewicz, and M. Loewenberg, J. Rheol. JORHD2 0148-6055 10.1122/1.1603240 47, 1283 (2003).
56. A. Vananroye, R. Cardinaels, P. V. Puyvelde, and P. Moldenaers, J. Rheol. JORHD2 0148-6055 10.1122/1.2978956 52, 1459 (2008).
57. J. M. Rallison, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S002211208100116X 109, 465 (1981).
58. A. Vananroye, P. Van Puyvelde, and P. Moldenaers, Langmuir 0743-7463 10.1021/la060442+ 22, 3972 (2006).
59. P. J. A. Janssen and P. D. Anderson, Phys. Fluids PHFLE6 1070-6631 10.1063/1.2715621 19, 043602 (2007). (Pubitemid 46705892)
60. P. J. A. Janssen, A. Vananroye, P. V. Puyvelde, P. Moldenaers, and P. D. Anderson, J. Rheol. JORHD2 0148-6055 10.1122/1.3473924 54, 1047 (2010).
61. R. Clift, J. R. Grace, and M. E. Weber, Bubbles, Drops, and Particles (Academic Press, New York, 1978).
62. D. Bhaga and M. E. Weber, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S002211208100311X 105, 61 (1981).
63. Z. Guo, C. Zheng, and B. Shi, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.65.046308 65, 046308 (2002). (Pubitemid 40618993)
64. S. Succi, The Lattice Boltzmann Equation For Fluid Dynamics and Beyond (Oxford University Press, Oxford, 2001).
65. L. Amaya-Bower and T. Lee, Comput. Fluids CPFLBI 0045-7930 10.1016/j.compfluid.2010.03.003 39, 1191 (2010).
66. J. Hua, J. F. Stene, and P. Lin, J. Comput. Phys. JCTPAH 0021-9991 10.1016/j.jcp.2007.12.002 227, 3358 (2008).
67. D. D. Joseph, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112003004968 488, 213 (2003). (Pubitemid 37054135)
68. R. M. Davies and G. Taylor, Proc. R. Soc. London, Ser. A 1364-5021 10.1098/rspa.1950.0023 200, 375 (1950).
69. D. Rodrigue, AIChE J. AICEAC 0001-1541 10.1002/aic.690470106 47, 39 (2001).