Three-dimensional lattice Boltzmann interface capturing method for incompressible flows

International Journal for Numerical Methods in Fluids

Volumn 56, Issue 9, 2008, Pages 1653-1671

  Zheng, H W ^a   Shu, C ^a   Chew, Y T ^a   Sun, J H ^b  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

^b NANJING UNIVERSITY OF AERONAUTICS AND ASTRONAUTICS   (China)

Author keywords

Incompressible flow; Interface capturing; Lattice Boltzmann; Three dimensional

Indexed keywords

BOLTZMANN EQUATION; COMPUTATIONAL EFFICIENCY; COMPUTATIONAL FLUID DYNAMICS; CONTACTS (FLUID MECHANICS); FLOW VELOCITY; THREE DIMENSIONAL;

EQUILIBRIUM DISTRIBUTION FUNCTION; INTERFACE CAPTURING; LATTICE BOLTZMANN; LATTICE VELOCITY MODEL;

INCOMPRESSIBLE FLOW;

BOLTZMANN EQUATION; COMPUTATIONAL EFFICIENCY; COMPUTATIONAL FLUID DYNAMICS; CONTACTS (FLUID MECHANICS); FLOW VELOCITY; INCOMPRESSIBLE FLOW; THREE DIMENSIONAL;

EID: 41049089480     PISSN: 02712091     EISSN: 10970363     Source Type: Journal    
DOI: 10.1002/fld.1563     Document Type: Article

References (15)

1. Hirt CW, Nichols BD. Volume of fluid (VOF) methods for the dynamics of free boundaries. Journal of Computational Physics 1981; 39:201-225.
2. Rudman M. Volume tracking methods for interfacial flow calculations. International Journal for Numerical Methods in Fluids 1997; 24:671-691.
3. Youngs DL. Time-dependent multi-material flow with large fluid distortion. In Numerical Methods for Fluid Dynamics, Morton KW, Baines MJ (eds). Academic Press: New York, 1982; 273-285.
4. Ashgriz N, Poo JY. FLAIR: flux line-segment model for advection and interface reconstruction. Journal of Computational Physics 1991; 93(2):449-468.
5. Osher S, Sethian JA. Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations. Journal of Computational Physics 1988; 79(1):12-49.
6. Kothe D, Juric D, Mosso SJ, Lally B. Numerical recipes for mold filling simulation. In Modeling of Casting, Welding and Advanced Solidification Processes VIII, Thomas BG, Beckermann C (eds). TMS: New York, 1998; 17-28.
7. Cahn JW, Hilliard JE. Free energy of a nonuniform system. I. Interfacial energy. Journal of Chemical Physics 1958; 28(2):258-267.
8. Swift MR, Osborn WR, Yeomans JM. Lattice Boltzmann simulation of liquid-gas and binary fluid systems. Physical Review E 1996; 54:5041-5052.
9. Inamuro T, Ogata T, Tajima S, Konishi N. A lattice Boltzmann method for incompressible two-phase flows with large density differences. Journal of Computational Physics 2004; 198:628-644.
10. He X, Chen S, Zhang R. A lattice Boltzmann scheme for incompressible multiphase flow and its application in simulation of Rayleigh-Taylor instability. Journal of Computational Physics 1999; 152(2):642-663.
11. Lee T, Lin C-L. A stable discretization of the lattice Boltzmann equation for simulation of incompressible two-phase flows at high density ratio. Journal of Computational Physics 2005; 206:16-47.
12. Zheng HW, Shu C, Chew YT. Lattice Boltzmann interface capturing method for incompressible flow. Physical Review E 2005; 72:056705.
13. Lamura A, Succi S. A lattice Boltzmann for disordered fluids. International Journal of Modern Physics B 2003; 17:145.
14. Bhatnagar P, Gross EP, Krook MK. A model for collision processes in gases. Physical Review 1954; 94:511-525.
15. Zalesak ST. Fully multidimensional flux-corrected transport algorithms for fluids. Journal of Computational Physics 1979; 31:335-362.