Fundamental conditions for N-th-order accurate lattice Boltzmann models

Physica D: Nonlinear Phenomena

Volumn 237, Issue 14-17, 2008, Pages 2003-2008

  Chen, Hudong ^a   Shan, Xiaowen ^a  

^a EXA CORPORATION   (United States)

Author keywords

Hydrodynamic moments; Lattice Boltzmann

Indexed keywords

HYDRODYNAMICS;

CORRESPONDING WEIGHTS; LATTICE BOLTZMANN; LATTICE BOLTZMANN MODELS;

ELECTROOSMOSIS;

EID: 47049098957     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physd.2007.11.010     Document Type: Article

References (28)

1. Benzi R., Succi S., and Vergassola M. Phys. Rep. 222 (1992) 145-197
2. Chen S., and Doolen G. Annu. Rev. Fluid Mech. 30 (1998) 329-364
3. Chen H., et al. Science 301 (2003) 633-636
4. Shan X., and He X. Phys. Rev. Lett. 80 (1998) 65
5. Shan X., Yuan X., and Chen H. J. Fluid Mech. 550 (2006) 413-441
6. Cercignani C. Theory and Application of the Boltzmann Equation (1975), Elsevier, New York
7. Gad-el-Hak M. The fluid mechanics of microdevices, the Freeman scholar lecture. J. Fluid Eng.-T. ASME 121 (1999) 5-33
8. Agarwal R., Yun K.-Y., and Balakrishnan R. Phys. Fluids 13 10 (2001) 3061
9. Zhang R., Shan X., and Chen H. Phys. Rev. E 74 (2006) 046703
10. Chen H., Orszag S., and Staroselsky I. J. Fluid Mech. 574 (2007) 495-505
11. Wolfram S. J. Stat. Phys. 45 (1986) 471-526
12. Frisch U., et al. Complex Syst. 1 (1987) 649-707
13. Chen H., Chen S., and Matthaeus W.H. Phys. Rev. A 45 8 (1992) R5339
14. Qian Y., d'Humieres D., and Lallemand P. Europhys. Lett. 17 6 (1992) 479
15. Frisch U., Hasslacher B., and Pomeau Y. Phys. Rev. Lett. 56 (1986) 1505
16. Alexander F., Chen S., and Sterling J.D. Phys. Rev. E 47 (1993) R2249-52
17. Chen H., Teixeira C., and Molvig K. Internat. J. Modern Phys. C 9 8 (1997) 675
18. Bishop R., and Goldberg S. Tensor Analysis on Manifolds (1968), Dover, New York
19. Vainshtein B.K. Modern Crystallography (1981), Springer
20. Schwarzenberger R.L.E. N-Dimensional Crystallography (1980), Pitman
21. Chapman S., and Cowling T. The Mathematical Theory of Non-Uniform Gases. 3rd ed. (1990), Cambridge University Press, Cambridge
22. Chen H., Orszag S., Staroselsky I., and Succi S. J. Fluid Mech. 519 (2004) 307
23. Chen H., and Teixeira C. Comp. Phys. Commu. 129 (2000) 21
24. H. Chen, I. Goldhirsh, S. Orszag, Discrete rotational symmetry, moment isotropy, and higher order lattice Boltzmann models, J. Sci. Computing (August 2007) (in press)
25. Chen Y., Ohashi H., and Akiyama M. Phys. Rev. E 50 (1994) 2776
26. Teixeira C., Chen H., and Freed D. Compt. Phys. Commu. 129 (2000) 207
27. Watari M., and Tsutahara M. Phys. Rev. E 70 (2004) 016703
28. Sbragaglia M., Benzi R., Biferale L., Succi S., Sugiyama K., and Toschi F. Phys. Rev. E 75 (2007) 026702