Discrete effects on boundary conditions for the lattice Boltzmann equation in simulating microscale gas flows

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

Volumn 76, Issue 5, 2007, Pages

  Guo, Zhaoli ^a   Shi, Baochang ^a   Zhao, T S ^b   Zheng, Chuguang ^a  

^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

BOLTZMANN EQUATION; BOUNDARY CONDITIONS; COMPUTER SIMULATION; MAXWELL EQUATIONS; PARAMETER ESTIMATION; REFLECTION;

DISCRETE EFFECTS; LATTICE BOLTZMANN EQUATION (LBE); MICROSCALE GAS FLOWS; SPECULAR-REFLECTION SCHEME;

FLOW OF GASES;

EID: 36249008030     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.76.056704     Document Type: Article

References (38)

1. C. M. Ho and Y. C. Tai, Annu. Rev. Fluid Mech. ARVFA3 0066-4189 10.1146/annurev.fluid.30.1.579 30, 579 (1998).
2. D. J. Beebe, G. A. Mensing, and G. M. Walker, Annu. Rev. Biomed. Eng. ARBEF7 1523-9829 10.1146/annurev.bioeng.4.112601.125916 4, 261 (2002).
3. C. Cercignani, Mathematical Methods in Kinetic Theory (Plenum, New York, 1990).
4. C. Cercignani and A. Daneri, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.1729249 34, 3509 (1963);
5. C. Cercignani, M. Lampis, and S. Lorenzani, Phys. Fluids PHFLE6 1070-6631 10.1063/1.1764700 16, 3426 (2004);
6. C. Cercignani, M. Lampis, and S. Lorenzani, Phys. Fluids PHFLE6 1070-6631 10.1063/1.2335847 18, 087102 (2006).
7. K. Xu, Phys. Fluids PHFLE6 1070-6631 10.1063/1.1577564 15, 2077 (2003);
8. K. Xu and Z. Li, J. Fluid Mech. JFLSA7 0022-1120 10.1017/ S0022112004009826 513, 87 (2004).
9. F. Sharipov and E. Subbotin, ZAMP ZAMPDB 0044-2275 10.1007/BF00953668 44, 572 (1993);
10. F. Sharipov, J. Micromech. Microeng. JMMIEZ 0960-1317 10.1088/0960-1317/9/4/317 9, 394 (1999).
11. S. Succi, The Lattice Boltzmann Equation for Fluid Dynamics and Beyond (Oxford University Press, Oxford, 2001).
12. X. Nie, G. D. Doolen, and S. Chen, J. Stat. Phys. JSTPBS 0022-4715 10.1023/A:1014523007427 107, 279 (2002).
13. C. Y. Lim, C. Shu, X. D. Niu, and Y. T. Chew, Phys. Fluids PHFLE6 1070-6631 10.1063/1.1483841 14, 2299 (2002).
14. B. Li and D. Y. Kwok, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.124502 90, 124502 (2003);
15. L.-S. Luo, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92. 139401 92, 139401 (2004);
16. B. Li and D. Y. Kwok, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.139402 92, 139402 (2004).
17. X. Niu, C. Shu, and Y. T. Chew, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2003-10307-8 67, 600 (2004).
18. A. Agrawal, L. Djenidi, and R. A. Antonia, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112005003691 530, 135 (2005).
19. G. Tang, W. Tao, and Y. He, Phys. Fluids PHFLE6 1070-6631 10.1063/1.1897010 17, 058101 (2005).
20. V. Sofonea and R. F. Sekerka, J. Comput. Phys. JCTPAH 0021-9991 10.1016/j.jcp.2005.02.003 207, 639 (2005);
21. V. Sofonea and R. F. Sekerka, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.71.066709 71, 066709 (2005).
22. T. Lee and C. L. Lin, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.71. 046706 71, 046706 (2005).
23. F. Toschi and S. Succi, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2004-10393-0 69, 549 (2005).
24. M. Sbragaglia and S. Succi, Phys. Fluids PHFLE6 1070-6631 10.1063/1.2044829 17, 093602 (2005).
25. Y. H. Zhang, R. Qin, and D. R. Emerson, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.71.047702 71, 047702 (2005);
26. Y. H. Zhang, X. J. Gu, R. W. Barber, and D. R. Emerson, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.74.046704 74, 046704 (2006).
27. J. Horbach and S. Succi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.224503 96, 224503 (2006).
28. M. Sbragaglia, R. Benzi, L. Biferale, S. Succi, and F. Toschi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.204503 97, 204503 (2006).
29. S. Ansumali, I. V. Karlin, S. Arcidiacono, A. Abbas, and N. I. Prasianakis, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.124502 98, 124502 (2007).
30. S. Ansumali and I. V. Karlin, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.66.026311 66, 026311 (2002).
31. S. Succi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.064502 89, 064502 (2002).
32. L. Szalmás, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.73. 066710 73, 066710 (2006).
33. C. Shu, X. Niu, and Y. Chew, J. Stat. Phys. JSTPBS 0022-4715 10.1007/s10955-005-8413-z 121, 239 (2005).
34. Y. Qian, D. d'Humiéres, and P. Lallemand, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/17/6/001 17, 479 (1992).
35. Z. L. Guo, C. G. Zheng, and B. C. Shi, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.65.046308 65, 046308 (2002).
36. Z. L. Guo, T. S. Zhao, and Y. Shi, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.2185839 99, 074903 (2006).
37. X. He, Q. Zou, L. S. Luo, and M. Dembo, J. Stat. Phys. JSTPBS 0022-4715 10.1007/BF02181482, 87, 115 (1997).
38. Z. L. Guo and C. G. Zheng, in Proceedings of the Fourth International Conference on Mesoscopic Methods in Engineering and Science (ICMMES-07), Munich, Germany, 2007 (unpublished).