Physical symmetry, spatial accuracy, and relaxation time of the lattice Boltzmann equation for microgas flows

Journal of Applied Physics

Volumn 99, Issue 7, 2006, Pages

  Guo, Zhaoli ^a,b   Zhao, T S ^b   Shi, Yong ^b  

^a HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

^b HONG KONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Hong Kong)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; FLOW OF FLUIDS; NONLINEAR SYSTEMS;

LATTICE BOLTZMANN EQUATION; MICROGAS FLOW; PHYSICAL SYMMETRY; RELAXATION TIME; TRANSITION REGIMES;

GASES;

EID: 33645943380     PISSN: 00218979     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2185839     Document Type: Article

References (55)

1. C. M. Ho and Y. C. Tai, Annu. Rev. Fluid Mech. 30, 579 (1998).
2. D. J. Beebe, G. A. Mensing, and G. M. Walker, Annu. Rev. Biomed. Eng. 4, 261 (2002).
3. G. E. Karniadakis and A. Beskok, Micro Flows, Fundamentals and Simulation (Springer, New York, 2001).
4. G. Bird, Molecular Gas Dynamics and the Direct Simulation of Gas Flows (Clarendon, Oxford, 1994).
5. J. C. Maxwell, Philos. Trans. R. Soc. London, Ser. A 170, 231 (1867).
6. C. Cercignani, Mathematical Methods in Kinetic Theory (Plenum, New York, 1990).
7. Y. Sone, Kinetic Theory and Fluid Dynamics (Birkhäuser, Boston, 2002).
8. K. Xu, Phys. Fluids 14, L17 (2002).
9. K. Xu, Phys. Fluids 1070-6631 10.1063/1.1577564 15, 2077 (2003); K. Xu and Z. Li, J. Fluid Mech. 0022-1120 513, 87 (2004); T. Ohwada and K. Xu, J. Comput. Phys. 201, 315 (2004).
10. K. Xu, Phys. Fluids 1070-6631 10.1063/1.1577564 15, 2077 (2003); K. Xu and Z. Li, J. Fluid Mech. 0022-1120 513, 87 (2004); T. Ohwada and K. Xu, J. Comput. Phys. 201, 315 (2004).
11. K. Xu, Phys. Fluids 1070-6631 10.1063/1.1577564 15, 2077 (2003); K. Xu and Z. Li, J. Fluid Mech. 0022-1120 513, 87 (2004); T. Ohwada and K. Xu, J. Comput. Phys. 201, 315 (2004).
12. X. Nie, G. D. Doolen, and S. Chen, J. Stat. Phys. 107, 279 (2002).
13. C. Y. Lim, C. Shu, X. D. Niu, and Y. T. Chew, Phys. Fluids 14, 2299 (2002).
14. A. Agrawal, L. Djenidi, and R. A. Antonia, J. Fluid Mech. 530, 135 (2005).
15. G. Tang, W. Tao, and Y. He, Int. J. Mod. Phys. C 0129-1831 10.1142/S0129183104005747 15, 335 (2004); G. Tang, W. Tao, and Y. He, Phys. Fluids 17, 058101 (2005).
16. G. Tang, W. Tao, and Y. He, Int. J. Mod. Phys. C 0129-1831 10.1142/S0129183104005747 15, 335 (2004); G. Tang, W. Tao, and Y. He, Phys. Fluids 17, 058101 (2005).
17. S. Succi, Phys. Rev. Lett. 89, 064502 (2003).
18. V. Sofonea and R. F. Sekerka, J. Comput. Phys. 207, 639 (2005).
19. V. Sofonea and R. F. Sekerka, Phys. Rev. E 71, 066709 (2005).
20. T. Lee and C. L. Lin, Phys. Rev. E 71, 046706 (2005).
21. S. Ansumali and I. V. Karlin, Phys. Rev. E 66, 026311 (2002); S. Ansumali, I. V. Karlin, C. E. Frouzakis, and K. B. Boulouchos, http://arxiv.org/abs/cond-mat/0412555.
22. S. Ansumali and I. V. Karlin, Phys. Rev. E 66, 026311 (2002); S. Ansumali, I. V. Karlin, C. E. Frouzakis, and K. B. Boulouchos, http://arxiv.org/abs/cond-mat/0412555.
23. S. Ansumali, C. E. Frouzakis, I. V. Karlin, and I. G. Kevrekidis, http://arxiv.org/abs/cond-mat/0502018.
24. X. Niu, C. Shu, and Y. T. Chew, Europhys. Lett. 67, 600 (2004).
25. F. Toschi and S. Succi, Europhys. Lett. 69, 549 (2005).
26. M. Sbragaglia and S. Succi, Phys. Fluids 17, 093602 (2005).
27. Y. Zhang, R. Qin, and D. R. Emerson, Phys. Rev. E 71, 047702 (2005).
28. M. Teixeira, AIP Conf. Proc. 762, 668 (2005).
29. W. T. Kim, M. S. Jhon, Y. Zhou, I. Staroselsky, and H. Chen, J. Appl. Phys. 97, 10P304 (2005).
30. P. L. Bhatnagar, E. P. Gross, and M. Krook, Phys. Rev. 94, 511 (1954).
31. S. Chapman and T. G. Cowling, The Mathematical Theory of Non-Uniform Gases, 3rd ed. (Cambridge University Press, Cambridge, 1970).
32. L. C. Woods, An Introduction to the Kinetic Theory of Gases and Magnetoplasmas (Oxford University Press, Oxford, 1993).
33. D. W. Stops, J. Phys. D 3, 685 (1970).
34. A. Beskok and G. E. Karniadaki, Microscale Thermophys. Eng. 1089-3954 10.1080/108939599199864 3, 43 (1999); P. Bahukudumbi, J. H. Park, and A. Beskok, Microscale Thermophys. Eng. 1089-3954 7, 291 (2003); J. H. Park, P. Bahukudumbi, and A. Beskok, Phys. Fluids 16, 317 (2004).
35. A. Beskok and G. E. Karniadaki, Microscale Thermophys. Eng. 1089-3954 10.1080/108939599199864 3, 43 (1999); P. Bahukudumbi, J. H. Park, and A. Beskok, Microscale Thermophys. Eng. 1089-3954 7, 291 (2003); J. H. Park, P. Bahukudumbi, and A. Beskok, Phys. Fluids 16, 317 (2004).
36. A. Beskok and G. E. Karniadaki, Microscale Thermophys. Eng. 1089-3954 10.1080/108939599199864 3, 43 (1999); P. Bahukudumbi, J. H. Park, and A. Beskok, Microscale Thermophys. Eng. 1089-3954 7, 291 (2003); J. H. Park, P. Bahukudumbi, and A. Beskok, Phys. Fluids 16, 317 (2004).
37. T. Veijola and M. Turowski, J. Microelectromech. Syst. 10, 263 (2001).
38. Y. Sun and W. K. Chan, J. Vac. Sci. Technol. A 22, 383 (2004).
39. R. Benzi, S. Succi, and M. Vergassola, Phys. Rep. 222, 145 (1992).
40. Y. H. Qian, S. Succi, and S. A. Orszag, in Recent Advances in Lattice Boltzmann Computing, Annual Reviews of Computational Physics Vol. III edited by, Dietrich Stauffer, (World Scientific, Singapore 1996), pp. 195-242.
41. S. Chen and G. D. Doolen, Annu. Rev. Fluid Mech. 30, 329 (1998).
42. L.-S. Luo, in Proceedings of Applied Computational Fluid Dynamics, Beijing, 2000, edited by, J.-H. Wu, (unpublished), pp. 52-83.
43. S. Succi, The Lattice Boltzmann Equation for Fluid Dynamics and Beyond (Oxford University Press, Oxford, 2001).
44. X. He and L.-S. Luo, Phys. Rev. E 1063-651X 10.1103/PhysRevE.55.R6333 55, R6333 (1997); X. He and L.-S. Luo, Phys. Rev. E 56, 6811 (1997).
45. X. He and L.-S. Luo, Phys. Rev. E 1063-651X 10.1103/PhysRevE.55.R6333 55, R6333 (1997); X. He and L.-S. Luo, Phys. Rev. E 56, 6811 (1997).
46. N. Cao, S. Chen, S. Jin, and D. Martínez, Phys. Rev. E 55, R21 (1997).
47. S. Ansumali and I. V. Karlin, J. Stat. Phys. 107, 291 (2002).
48. X. He, X. Shan, and G. Doolen, Phys. Rev. E 1063-651X 10.1103/PhysRevE.57.R13 57, R13 (1998); X. He, S. Chen, and G. Doolen, J. Comput. Phys. 146, 282 (1998).
49. X. He, X. Shan, and G. Doolen, Phys. Rev. E 1063-651X 10.1103/PhysRevE.57.R13 57, R13 (1998); X. He, S. Chen, and G. Doolen, J. Comput. Phys. 146, 282 (1998).
50. Y. H. Qian and Y. Zhou, Phys. Rev. E 1063-651X 10.1103/PhysRevE.61.2103 61, 2103 (2000); Y. H. Qian and S. Chen, Phys. Rev. E 61, 2712 (2000).
51. Y. H. Qian and Y. Zhou, Phys. Rev. E 1063-651X 10.1103/PhysRevE.61.2103 61, 2103 (2000); Y. H. Qian and S. Chen, Phys. Rev. E 61, 2712 (2000).
52. C. Shen, D. B. Tian, C. Xie, and J. Fan, Microscale Thermophys. Eng. 8, 423 (2004).
53. S. Chen, D. Martinez, and R. Mei, Phys. Fluids 8, 2527 (1996).
54. E. B. Arkilic, M. A. Schmidt, and K. S. Breuer, J. Microelectromech. Syst. 6, 167 (1997).
55. D. A. Lockerby, J. M. Reese, and M. A. Gallis, Phys. Fluids 17, 100609 (2005).