Hybrid finite-difference thermal lattice Boltzmann equation

International Journal of Modern Physics B

Volumn 17, Issue 1-2, 2003, Pages 41-47

  Lallemand, Pierre ^a   Lou, Li Shi ^b  

^a UNIVERSITÉ PARIS SACLAY   (France)

^b NASA LANGLEY RESEARCH CENTER   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTICS; CALCULATION; CONFERENCE PAPER; FLUID FLOW; HYBRID; LINEAR SYSTEM; MATHEMATICS; TEMPERATURE;

EID: 0037455611     PISSN: 02179792     EISSN: None     Source Type: Journal    
DOI: 10.1142/s0217979203017060     Document Type: Conference Paper

References (43)

1. D. d'Humières, in RGD: Theory and Simulations, Progress in Astronautics and Aeronautics 159, ed. B.D. Shizgal and D.P. Weaver (AIAA, Washington DC, 1992), p. 450.
2. F. Massaioli, R. Benzi, and S. Succi, Europhy. Lett. 21, 305 (1993).
3. J.G.M. Eggels and J.A. Sommers, Int. J. Heat Fluid Flow 16, 357 (1995).
4. X. Shan, Phys. Rev. E55, 2780 (1997).
5. S. Succi, G. Bella, and F. Papetti, J. Scien. Comput. 12, 395 (1997).
6. R.G.M. van der Sman et al., Int. J. Heat Mass Transfer 43, 577 (2000).
7. G. Yan, Y. Chen, and S. Hu, Phys. Rev. E59, 454 (1999).
8. F.L. Hinton et al., Phys. Rev. E63, 061212 (2001).
9. W. Shi, W. Shyy, and R. Mei, Numer. Heat Transfer B40, 1 (2001).
10. J. Huang et al., Int. J. Mod. Phys. C8, 827-841 (1997).
11. C. Sun, Phys. Rev. E58, 7283 (1998); ibid E61, 2645 (2000); J. Computat. Phys. 161, 70 (2000).
12. C. Sun, Phys. Rev. E58, 7283 (1998); ibid E61, 2645 (2000); J. Computat. Phys. 161, 70 (2000).
13. C. Sun, Phys. Rev. E58, 7283 (1998); ibid E61, 2645 (2000); J. Computat. Phys. 161, 70 (2000).
14. R.J. Mason, J. Star. Phys. 107, 385 (2002).
15. F.J. Alexander, S. Chen and J.D. Sterling, Phys. Rev. E47, R2249 (1993).
16. G. McNamara and B.J. Alder, Physica A194, 218 (1993)
17. Y. Chen, H. Ohashi, and M. Akiyama, Phys. Rev. E50, 2776 (1994).
18. A. Renda, G. Bella, S. Succi, and I.V. Karlin, Europhy. Lett. 41, 279 (1998)
19. G. McNamara, A. Garcia and B.J. Alder, J. Stat. Phys. 81, 395 (1995).
20. G. McNamara, A. Garcia and B.J. Alder, J. Stat. Phys. 87, 1111 (1997).
21. X. He, S. Chen and G.D. Doolen, J. Computat. Phys. 146, 282 (1998).
22. B.J. Palmer and D.R. Rector, J. Computat. Phys. 161, 1 (2000).
23. B.J. Palmer and D.R. Rector, Phys. Rev. E61, 5295 (2000).
24. T. Ihle and D.M. Kroll, Comput. Phys. Comm. 129, 1 (2000).
25. P. Pavlo et al., J. Computat. Phys. 139, 79 (1998); M. Soe et al., Phys. Rev. E57, 4227 (1998); G. Vahala et al., Int. J. Mod. Phys. C9, 1247 (1998); L. Vahala et al., Phys. Rev. E62, 507 (2000).
26. P. Pavlo et al., J. Computat. Phys. 139, 79 (1998); M. Soe et al., Phys. Rev. E57, 4227 (1998); G. Vahala et al., Int. J. Mod. Phys. C9, 1247 (1998); L. Vahala et al., Phys. Rev. E62, 507 (2000).
27. P. Pavlo et al., J. Computat. Phys. 139, 79 (1998); M. Soe et al., Phys. Rev. E57, 4227 (1998); G. Vahala et al., Int. J. Mod. Phys. C9, 1247 (1998); L. Vahala et al., Phys. Rev. E62, 507 (2000).
28. P. Pavlo et al., J. Computat. Phys. 139, 79 (1998); M. Soe et al., Phys. Rev. E57, 4227 (1998); G. Vahala et al., Int. J. Mod. Phys. C9, 1247 (1998); L. Vahala et al., Phys. Rev. E62, 507 (2000).
29. P. Pavlo, G. Vahala, L. Vahala, and M. Soe, J. Computat. Phys. 139, 79 (1998).
30. P. Pavlo, G. Vahala, and L. Vahala, J. Stat. Phys. 107, 499 (2002).
31. O. Filippova and D. Hänel, Int. J. Mod. Phys. C9, 1439 (1998).
32. O. Filippova and D. Hänel, J. Computat. Phys. 158, 139 (2000).
33. M. De Cicco, S. Succi, and G. Bella, SIAM J. Scient. Comput. 21, 366 (1999).
34. K. Xu, Gas-kinetic Schemes for Unsteady Compressible Flow Simulations, VKI Lecture Series 1998-03 (VKI, Brussels, 1998); J. Computat. Phys. 171, 289 (2001).
35. K. Xu, Gas-kinetic Schemes for Unsteady Compressible Flow Simulations, VKI Lecture Series 1998-03 (VKI, Brussels, 1998); J. Computat. Phys. 171, 289 (2001).
36. P. Lallemand and L.-S. Luo, submitted to Phys. Rev. E (2002).
37. A. Mezrhab, M. Bouzidi and P. Lallemand, submitted to Comput. Fluids (2002).
38. P. Lallemand and L.-S. Luo, Phys. Rev. E61, 6546 (2000).
39. D. d'Humières, M. Bouzidi, and P. Lallemand, Phys. Rev. E63, 066702 (2001).
40. D. d'Humières et al., Phil. Trans. R. Soc. Lond. A360, 437 (2002).
41. L.-S. Luo et al., Phys. Rev. A43, R7097 (1991).
42. E. Tric, G. Labrosse and M. Betrouni, Int. J. Heat Mass Transfer 43, 4043 (2000).
43. F. Zhong, R. Ecke, and V. Steinberg, Phys. Rev. Lett. 67, 2473 (1991).