Thermal lattice Boltzmann model for gases with internal degrees of freedom

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

Volumn 77, Issue 3, 2008, Pages

  Nie, Xiaobo ^a   Shan, Xiaowen ^a   Chen, Hudong ^a  

^a EXA CORPORATION   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

HYDRODYNAMICS; LATTICE CONSTANTS; MATHEMATICAL MODELS; THERMAL EFFECTS;

THERMAL LATTICE BOLTZMANN MODEL; VELOCITY SPACE;

DEGREES OF FREEDOM (MECHANICS);

EID: 41149153885     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.77.035701     Document Type: Article

References (30)

1. S. Chen and G. Doolen, Annu. Rev. Fluid Mech. ARVFA3 0066-4189 10.1146/annurev.fluid.30.1.329 30, 329 (1998).
2. S. Succi, The Lattice Boltzmann Equation for Fluid Dynamics and Beyond, Numerical Mathematics and Scientific Computation (Oxford University Press, Oxford, 2001).
3. H. Chen, S. Kandasamy, S. Orszag, R. Shock, S. Succi, and V. Yakhot, Science SCIEAS 0036-8075 10.1126/science.1085048 301, 633 (2003).
4. X. B. Nie, G. D. Doolen, and S. Chen, J. Stat. Phys. JSTPBS 0022-4715 10.1023/A:1014523007427 107, 279 (2002).
5. F. Toschi and S. Succi, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2004-10393-0 69, 549 (2005).
6. N. S. Martys and H. Chen, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.53.743 53, 743 (1996).
7. X. B. Nie and N. S. Martys, Phys. Fluids PHFLE6 1070-6631 10.1063/1.2432153 19, 011702 (2007).
8. X. Shan and H. Chen, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.47. 1815 47, 1815 (1993).
9. X. B. Nie, Y.-H. Qian, G. D. Doolen, and S. Chen, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.58.6861 58, 6861 (1998).
10. U. Frisch, B. Hasslacher, and Y. Pomeau, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.56.1505 56, 1505 (1986).
11. S. Wolfram, J. Stat. Phys. JSTPBS 0022-4715 10.1007/BF01021083 45, 471 (1986).
12. P. L. Bhatnagar, E. P. Gross, and M. Krook, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.94.511 94, 511 (1954).
13. H. Chen, S. Chen, and W. H. Matthaeus, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.45.R5339 45, R5339 (1992).
14. Y. H. Qian, D. d'Humieres, and P. Lallemand, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/17/6/001 17, 479 (1992).
15. F. J. Alexander, H. Chen, S. Chen, and G. D. Doolen, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.46.1967 46, 1967 (1992).
16. Y. Chen, H. Ohashi, and M. Akiyama, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.50.2776 50, 2776 (1994).
17. H. Chen, C. Teixeira, and K. Molvig, Int. J. Mod. Phys. C IJMPEO 0129-1831 10.1142/S0129183197000576 8, 675 (1997).
18. G. R. McNamara, A. L. Garcia, and B. J. Alder, J. Stat. Phys. JSTPBS 0022-4715 10.1007/BF02179986 81, 395 (1995).
19. G. R. McNamara, A. L. Garcia, and B. J. Alder, J. Stat. Phys. JSTPBS 0022-4715 10.1007/BF02181274 87, 1111 (1997).
20. X. Shan and X. He, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 80.65 80, 65 (1998).
21. X. Shan, X.-F. Yuan, and H. Chen, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112005008153 550, 413 (2006).
22. S. Chapman and T. G. Cowling, The Mathematical Theory of Non-Uniform Gases, 3rd ed. (Cambridge University Press, London, 1970).
23. J. Huang, F. Xu, M. Vallières, D. H. Feng, Y.-H. Qian, B. Fryxell, and M. R. Strayer, Int. J. Mod. Phys. C IJMPEO 0129-1831 10.1142/ S0129183197000710 8, 827 (1997).
24. C. Sun and A. T. Hsu, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.68. 016303 68, 016303 (2003).
25. M. Watari, Physica A PHYADX 0378-4371 10.1016/j.physa.2007.03.037 382, 502 (2007).
26. Guangwu Yan, Yaosong Che, and Hu Shouxin, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.59.454 59, 454 (1999).
27. T. Kataoka and M. Tsutahara, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.69.056702 69, 056702 (2004).
28. C. Cercignani, Theory and Application of the Boltzmann Equation (Plenum, New York, 1990).
29. X. Shan and H. Chen, Int. J. Mod. Phys. C IJMPEO 0129-1831 10.1142/S0129183107010887 18, 635 (2007).
30. G. Sod, J. Comput. Phys. JCTPAH 0021-9991 10.1016/0021-9991(78)90023-2 27, 1 (1978).