A pressure-evolution-based multi-relaxation-time high-density-ratio two-phase lattice-Boltzmann model

Computers and Fluids

Volumn 36, Issue 6, 2007, Pages 1149-1158

  Mukherjee, Shiladitya ^a   Abraham, John ^a  

^a PURDUE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOLTZMANN EQUATION; DROPS; MATHEMATICAL MODELS; RELAXATION TIME; VISCOSITY;

DROP IMPINGING; LATTICE-BOLTZMANN MODEL; MULTIPLE-RELAXATION-TIME MODEL;

TWO PHASE FLOW;

BOLTZMANN EQUATION; DROPS; MATHEMATICAL MODELS; RELAXATION TIME; TWO PHASE FLOW; VISCOSITY;

EID: 34047195396     PISSN: 00457930     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compfluid.2006.12.002     Document Type: Article

References (38)

1. Benzi R., Succi S., and Vergassola M. The lattice Boltzmann equation: theory and applications. Phys Rep 222 (1992) 145
2. Shan X., and Chen H. Lattice Boltzmann model of simulating flows with multiple phases and components. Phys Rev E 47 (1993) 1815
3. Chen S., and Doolen G.D. Lattice Boltzmann method for fluid flows. Ann Rev Fluid Mech 30 (1998) 329
4. Nourgaliev R., Dinh T., Theofanous T., and Joseph D. The lattice-Boltzmann equation method: theoretical interpretation, numerics and implications. Int J Multiphase Flow 29 (2003) 117
5. He X., Chen S., and Zhang R. A lattice Boltzmann scheme for incompressible multiphase flow and its application in simulation of Rayleigh-Taylor instability. J Comput Phys 152 (1999) 642
6. Premnath K.N., and Abraham J. Simulations of binary drop collisions with a multiple-relaxation-time lattice-Boltzmann model. Phys Fluids 17 (2005) 122105
7. McCracken M.E., and Abraham J. Simulations of liquid break up with an axisymmetric, multiple relaxation time, index-function lattice Boltzmann model. Int J Mod Phys C (2005) 1671
8. Yu D., Mei R., Luo L.S., and Shyy W. Viscous flow computations with the method of lattice Boltzmann equation. Prog Aerospace Sci 39 (2003) 329
9. Kadanoff L. On two levels. Phys Today 39 (1986) 7
10. Wolfram S. Cellular automaton fluids I: Basic theory. J Stat Phys 45 (1986) 471
11. He X., and Luo L.S. Theory of the lattice Boltzmann method: from the Boltzmann equation to the lattice Boltzmann equation. Phys Rev E 56 (1997) 6811
12. Inamuro T., Ogata T., Tajima S., and Konishi N. A lattice Boltzmann method for incompressible two-phase flows with large density differences. J Comput Phys 198 (2004) 628
13. Lee T., and Lin C.L. A pressure evolution lattice Boltzmann equation method for two-phase flow with phase change. Phys Rev E 67 (2003) 056703
14. Lee T., and Lin C.L. A stable discretization of the lattice Boltzmann equation for simulation of incompressible two-phase flows at high density ratio. J Comput Phys 206 (2005) 16
15. Bhatnagar P., Gross E., and Krook M. A model for collision processes in gases. I. Small amplitude processes in charged and neutral one-component systems. Phys Rev 94 (1954) 511
16. d'Humières D. Generalized lattice-Boltzmann equations, in rarefied gas dynamics: theory and simulations. Prog Aeronaut Astronaut 159 (1992) 450
17. d'Humières D., Ginzburg I., Krafczyk M., Lallemand P., and Luo L.S. Multiple-relaxation-time lattice Boltzmann models in three dimensions. Phil Trans R Soc Lond A 360 (2002) 437
18. Lallemand P., and Luo L.S. Theory of the lattice Boltzmann method: dispersion, isotropy, Galilean invariance and stability. Phys Rev E 61 (2000) 6546
19. Lallemand P., and Luo L.S. Theory of the lattice Boltzmann method: Acoustic and thermal properties in two and three dimensions. Phys Rev E 68 (2003) 036706
20. Lallemand P., d'Humières D., Luo L.S., and Rubinstein R. Theory of the lattice Boltzmann method: three-dimensional model for linear viscoelastic fluids. Phys Rev E 67 (2003) 021203
21. Rasin I., Succi S., and Miller W. A multi-relaxation lattice kinetic method for passive scalar diffusion. J Comput Phys 206 (2005) 453
22. Karlin I., Ferrante A., and Ottinger H. Perfect entropy functions of the lattice Boltzmann method. Europhys Lett 47 (1999) 82
23. Boghosian B.M., Yepez J., Coveney P.V., and Wagner A. Entropic lattice Boltzmann method. Proc R Soc London Ser A 457 (2001) 717
24. Yong W.A., and Luo L.S. Non-existence of H theorems for the athermal lattice Boltzmann models with polynomial equilibria. Phys Rev E 67 (2003) 051105
25. Sankaranarayanan K., Shan X., Kevrekidis I.G., and Sundaresan S. Analysis of drag and virtual mass forces in bubble suspensions using an implicit formulation of the lattice Boltzmann method. J Fluid Mech 452 (2002) 61
26. Zhang R., Chen H., Qian Y.H., and Chen S. Effective volumetric lattice Boltzmann scheme. Phys Rev E 63 (2001) 056705
27. Ginzburg I. Equilibrium-type and link-type lattice Boltzmann models for generic advection and anisotropic-dispersion equation. Adv Water Resour 28 (2005) 1171
28. Krafczyk M., Tolke J., and Luo L.S. Large-eddy simulations with a multiple-relaxation-time LBE model. Int J Mod Phys B 17 (2003) 33
29. Bouzidi M., d'Humières D., Lallemand P., and Luo L.S. Lattice Boltzmann equation on a two-dimensional rectangular grid. J Comput Phys 172 (2001) 704
30. Ginzbourg I., and Adler P. Boundary flow condition analysis for the three three-dimensional lattice Boltzmann model. J Phys II 4 (1994) 191
31. McCracken M.E., and Abraham J. Multiple-relaxation-time lattice-Boltzmann model for multiphase flow. Phys Rev E 71 (2005) 036701
32. Premnath K.N., and Abraham J. Lattice Boltzmann model for axisymmetric multiphase flows. Phys Rev E 71 (2005) 056706
33. Premnath KN, Abraham J. Three-dimensional multi-relaxation time (MRT) lattice-Boltzmann models for multiphase flow. J Comput Phys, in press.
34. Tölke J., Freudiger S., and Krafczyk M. An adaptive scheme using hierarchical grids for lattice Boltzmann multi-phase flow simulations. Comput Fluids 35 (2006) 820
35. He X., Shan X., and Doolen G.D. Discrete Boltzmann equation model for nonideal gases. Phys Rev E 57 (1998) R13
36. Lamb H. Hydrodynamics (1932), Dover, New York
37. Yarin A.L., and Weiss D.A. Impact of drops on solid surfaces: self-similar capillary waves, and splashing as a new type of kinematic discontinuity. J Fluid Mech 283 (1995) 141
38. Josserand C., and Zaleski S. Droplet splashing on a thin liquid film. Phys Fluids 15 (2003) 1650