Chequerboard effects on spurious currents in the lattice Boltzmann equation for two-phaseflows

Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 369, Issue 1944, 2011, Pages 2283-2291

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

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

^b State Key Laboratory of Coal Combustion   (China)

^c HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

Author keywords

Chequerboard effects; Lattice Boltzmann equation; Spurious current; Two phase flows

Indexed keywords

CHEQUERBOARD EFFECTS; LATTICE BOLTZMANN EQUATION METHODS; LATTICE BOLTZMANN EQUATIONS; SPURIOUS CURRENT; SPURIOUS CURRENTS; TWO PHASE SYSTEMS;

MULTIPHASE FLOW; PHASE INTERFACES;

BOLTZMANN EQUATION;

EID: 79958803729     PISSN: 1364503X     EISSN: None     Source Type: Journal    
DOI: 10.1098/rsta.2011.0023     Document Type: Conference Paper

References (18)

1. Succi, S. 2001 The lattice Boltzmann equation for fluid dynamics and beyond, 1st edn. Oxford, UK: Oxford University Press.
2. Nourgaliev, R. R., Dinh, T. N., Theofanous, T. G. & Joseph, D. 2003 The lattice Boltzmann equation method: theoretical interpretation, numerics and implications. Int. J. Multiphase Flow 29, 117-169. (doi:10.1016/S0301-9322(02) 00108-8) (Pubitemid 36145054)
3. Aidun, C. K. & Clausen, J. R. 2010 Lattice-Boltzmann method for complex flows. Annu. Rev. Fluid Mech. 42, 439-472. (doi:10.1146/annurev-fluid- 121108-145519)
4. Gunstensen, A. K. 1992 Lattice-Boltzmann studies of multiphase flow through porous media. PhD thesis, MIT, Cambridge, MA.
5. Nourgaliev, R. R., Dinh, T. N. & Sehgal, B. R. 2002 On lattice Boltzmann modeling of phase transition in an isothermal non-ideal fluid. Nucl. Eng. Des. 211, 153-171. (doi:10.1016/ S0029-5493(01)00435-6) (Pubitemid 34105507)
6. Wagner, A. J. 2003 The origin of spurious velocities in lattice Boltzmann. Int. J. Mod. Phys. B 17, 193-196. (doi:10.1142/S0217979203017448)
7. Lee, T. & Fischer, P. F. 2006 Eliminating parasitic currents in the lattice Boltzmann equation method for non-ideal gases. Phys. Rev. E 74, 046709. (doi:10.1103/PhysRevE.74.046709)
8. Shan, X. 2006 Analysis and reduction of the spurious current in a class of multiphase lattice Boltzmann models. Phys. Rev. E 73, 047701. (doi:10.1103/PhysRevE.73.047701)
9. He, X., Shan, X. & Doolen, G. D. 1998 A discrete Boltzmann equation model for non-ideal gases. Phys. Rev. E 57, R13-R16. (doi:10.1103/PhysRevE.57. R13) (Pubitemid 128625692)
10. He, X. Y., Zhang, R. Y., Chen, S. Y. & Doolen, G. D. 1999 On three-dimensional Rayleigh- Taylor instability. Phys. Fluids 11, 1143-1152. (doi:10.1063/1.869984)
11. Kikkinides, E. S., Yiotis, A. G., Kainourgiakis, M. E. & Stubos, A. K. 2008 Thermodynamic consistency of liquid-gas lattice Boltzmann methods: interfacial property issues. Phys. Rev. E 78, 036702. (doi:10.1103/PhysRevE.78. 036702)
12. Huang, J. J., Shu, C. & Chew, Y. T. 2009 Mobility-dependent bifurcations in capillarity-driven two-phase fluid systems by using a lattice Boltzmann phase-field model. Int. J. Numer. Methods Fluids 60, 203-225. (doi:10.1002/fld.1885)
13. Zanetti, G. L. 1989 Hydrodynamics of lattice-gas automata. Phys. Rev. A 40, 1539-1548. (doi:10.1103/PhysRevA.40.1539)
14. Ladd, A. J. C. 1994 Numerical simulations of particulate suspensions via a discretized Boltzmann equation. I. Theoretical foundation. J. Fluid. Mech. 271, 285-309. (doi:10.1017/ S0022112094001771)
15. Qian, Y.-H. 1997 Fractional propagation and the elimination of staggered invariants in lattice- BGK models. Int. J. Mod. Phys. C 8, 753-761. (doi:10.1142/S0129183197000643) (Pubitemid 127469035)
16. Kandhai, B. D., Koponen, A., Hoekstra, A. G., Kataja, M., Timonen, J. & Sloot, P. M. A. 1999 Implementation aspects of 3D lattice-BGK: boundaries, accuracy, and a new fast relaxation method. J. Comput. Phys. 150, 482-501. (doi:10.1006/jcph.1999.6191)
17. d'Humiéres, D., Bouzidi, M. & Lallemand, P. 2001 Thirteen-velocity three-dimensional lattice Boltzmann model. Phys. Rev. E 63, 066702. (doi:10.1103/PhysRevE.63.066702)
18. Guo, Z. L., Zheng, C. G. & Zhao, T. S. 2001 A lattice BGK scheme with general propagation. J. Sci. Comput. 16, 569-585. (doi:10.1023/A:1013280900427) (Pubitemid 33746039)