Thermal boundary condition for the thermal lattice Boltzmann equation

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

Volumn 72, Issue 1, 2005, Pages

  Tang, G H ^a   Tao, W Q ^a   He, Y L ^a  

^a XI'AN JIAOTONG UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

FIRST-ORDER EXTRAPOLATION; THERMAL BOUNDARY CONDITIONS; THERMAL LATTICE BOLTZMANN EQUATION;

BOUNDARY CONDITIONS; EXTRAPOLATION; FINITE VOLUME METHOD;

LATTICE CONSTANTS;

EID: 27244439507     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.72.016703     Document Type: Article

References (35)

1. S. Y. Chen and G. D. Doolen, Annu. Rev. Fluid Mech. ARVFA3 0066-4189 10.1146/annurev.fluid.30.1.329 30, 329 (1998).
2. D. Z. Yu, R. W. Mei, L. S. Luo, and W. Shyy, Prog. Aerosp. Sci. PAESD6 0376-0421 10.1016/S0376-0421(03)00003-4 39, 329 (2003).
3. S. Succi, Lattice Boltzmann Equation for Fluid Dynamics and Beyond (Clarendon Press, Oxford, 2001).
4. G. McNamara and G. Zanetti, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.61.2332 61, 2332 (1988).
5. F. J. Higuera and J. Jimenez, Europhys. Lett. EULEEJ 0295-5075 9, 663 (1989).
6. F. J. Higuera and S. Succi, Europhys. Lett. EULEEJ 0295-5075 8, 517 (1989).
7. Y. H. Qian, D. d'Humieres, and P. Lallemand, Europhys. Lett. EULEEJ 0295-5075 17, 479 (1992).
8. S. Chen, H. D. Chen. D. Martinez, and W. H. Matthaeus, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.67.3776 67, 3776 (1991).
9. G. McNamara and B. Alder, Physica A PHYADX 0378-4371 10.1016/0378- 4371(93)90356-9 194, 218 (1993).
10. F. J. Alexander, S. Chen, and J. D. Sterling, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.47.R2249 47, R2249 (1993).
11. Y. Chen, H. Ohashi, and M. Akiyama, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.50.2776 50, 2776 (1994).
12. X. Shan, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.55.2780 55, 2780 (1997).
13. J. G. M. Eggels and J. A. Somers, Int. J. Heat Fluid Flow IJHFD2 0142-727X 10.1016/0142-727X(95)00052-R 16, 357 (1995).
14. X. Y. He, S. Y. Chen, and G. D. Doolen, J. Comput. Phys. JCTPAH 0021-9991 10.1006/jcph.1998.6057 146, 282 (1998).
15. Z. L. Guo, B. C. Shi, and C. G. Zheng, Int. J. Numer. Methods Fluids IJNFDW 0271-2091 10.1002/fld.337 39, 325 (2002).
16. P. Lallemand and L. S. Luo, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.68.036706 68, 036706 (2003).
17. P. Lallemand and L. S. Luo, Int. J. Mod. Phys. B IJPBEV 0217-9792 10.1142/S0217979203017060 17, 41 (2003).
18. A. Al-Zoubi and G. Brenner, Int. J. Mod. Phys. C IJMPEO 0129-1831 15, 307 (2004).
19. J. Hardy, O. D. Pazzis, and Y. Pomeau, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.13.1949 13, 1949 (1976).
20. U. Frisch, B. Hasslacher, and Y. Pomeau, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.56.1505 56, 1505 (1986).
21. U. Frisch, D. d'Humieres, B. Hasslacher, P. Lallemand, Y. Pomeau, and J. P. Rivet, Complex Syst. CPSYEN 0891-2513 1, 649 (1987).
22. R. Cornubert, D. d'Humieres, and D. Levermore, Physica D PDNPDT 0167-2789 10.1016/0167-2789(91)90295-K 47, 241 (1991).
23. D. P. Ziegler, J. Stat. Phys. JSTPBS 0022-4715 10.1007/BF01049965 71, 1171 (1993).
24. X. Y. He, Q. S. Zou, L. S. Luo, and M. Dembo, J. Stat. Phys. JSTPBS 0022-4715 87, 115 (1997).
25. T. Inamuro, M. Yoshino, and F. Ogino, Phys. Fluids PHFLE6 1070-6631 10.1063/1.868766 7, 2928 (1995).
26. S. Y. Chen, D. Martinez, and R. W. Mei, Phys. Fluids PHFLE6 1070-6631 10.1063/1.869035 8, 2527 (1996).
27. Q. S. Zou and X. Y. He, Phys. Fluids PHFLE6 1070-6631 10.1063/1.869307 9, 1591 (1997).
28. Z. L. Guo, C. G. Zheng, and B. C. Shi, Chin. Phys. CHPHF4 1009-1963 11, 366 (2002).
29. P. A. Skordos, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.48.4823 48, 4823 (1993).
30. D. R. Noble, S. Y. Chen, J. G. Georgiadis, and R. O. Buckius, Phys. Fluids PHFLE6 1070-6631 10.1063/1.868767 7, 203 (1995).
31. G. H. Tang, W. Q. Tao, and Y. L. He, Int. J. Mod. Phys. B IJPBEV 0217-9792 17, 183 (2003).
32. A. D' Orazio, S. Succi, and C. Arrighetti, Phys. Fluids PHFLE6 1070-6631 10.1063/1.1597681 15, 2778 (2003).
33. A. D' Orazio, M. Corcione, and G. P. Celata, Int. J. Therm. Sci. IJTSFZ 1290-0729 43, 575 (2004).
34. A. D' Orazio and S. Succi, Future Generation Comput. Syst. 20, 935 (2004).
35. R. K. Shah and A. L. London, Advances in Heat Transfer (Academic Press, New York, 1978), Suppl. 1.