Pressure boundary condition of the lattice Boltzmann method for fully developed periodic flows

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

Volumn 73, Issue 4, 2006, Pages

  Zhang, Junfeng ^a   Kwok, Daniel Y ^b  

^a Johns Hopkins University   (United States)

^b UNIVERSITY OF CALGARY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

LATTICE BOLTZMANN METHOD; OUTLET FLOW DISTURBANCES; PERIODIC BOUNDARY CONDITION;

BOUNDARY CONDITIONS; ELECTRIC POTENTIAL; LATTICE CONSTANTS;

FLOW OF FLUIDS;

EID: 33645764342     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.73.047702     Document Type: Article

References (31)

1. S. Succi, The Lattice Boltzmann Equation (Oxford University Press, Oxford, UK, 2001).
2. Y. H. Qian, in Ann. Rev. Compt. Phys. III, edited by, D. Stauffer, (World Scientific, Singapore, 1995), pp. 195-242.
3. S. Chen and G. D. Doolen, Annu. Rev. Fluid Mech. ARVFA3 0066-4189 10.1146/annurev.fluid.30.1.329 30, 329 (1998).
4. J. Zhang and D. Y. Kwok, J. Comput. Phys. JCTPAH 0021-9991 206, 150 (2005).
5. P. A. Skordos, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.48.4823 48, 4823 (1993).
6. T. Inamuro, Phys. Fluids PHFLE6 1070-6631 10.1063/1.868766 7, 2928 (1995).
7. D. Noble, Phys. Fluids PHFLE6 1070-6631 10.1063/1.868767 7, 203 (1995).
8. S. Chen, Phys. Fluids PHFLE6 1070-6631 10.1063/1.869035 8, 2527 (1996).
9. R. Maier, Phys. Fluids PHFLE6 1070-6631 10.1063/1.868961 8, 1788 (1996).
10. Q. Zou and X. He, Phys. Fluids PHFLE6 1070-6631 10.1063/1.869307 9, 1591 (1997).
11. R. Mei, J. Comput. Phys. JCTPAH 0021-9991 10.1006/jcph.1999.6334 155, 307 (1999).
12. R. Verberg and A. J. C. Ladd, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84.2148 84, 2148 (2000).
13. A. Wagner and I. Pagonabarraga, J. Stat. Phys. JSTPBS 0022-4715 10.1023/A:1014595628808 107, 521 (2002).
14. S. Ansumali and I. V. Karlin, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.66.026311 66, 026311 (2002).
15. Z. Guo, Phys. Fluids PHFLE6 1070-6631 10.1063/1.1471914 14, 2007 (2002).
16. S. Succi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.064502 89, 064502 (2002).
17. J. Zhang and D. Y. Kwok, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.70.056701 70, 056701 (2004).
18. A. Dupuis, Ph.D. thesis, Université de Genève (2002).
19. S. Marconi, Int. J. Mod. Phys. C IJMPEO 0129-1831 10.1142/ S0129183103005157 14, 1015 (2003).
20. Z. Guo, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1874813 122, 144907 (2005).
21. Z. X. Yuan, Int. J. Numer. Methods Fluids IJNFDW 0271-2091 10.1002/(SICI)1097-0363(19981215)28:9<1371::AID-FLD774>3.0.CO;2-A 28, 1371 (1998).
22. S. V. Patankar, ASME J. Heat Transfer JHTRAO 0022-1481 99, 180 (1977).
23. R. S. Amano, ASME J. Heat Transfer JHTRAO 0022-1481 107, 564 (1985).
24. C. Nonino and G. Comini, Numer. Heat Transfer, Part B NHBFEE 1040-7790 34, 361 (1998).
25. S. Chen, Comput. Mech. CMMEEE 0178-7675 28, 152 (2002).
26. T. A. Trabold, Heat Transfer Eng. HTEND2 0145-7632 26, 3 (2005).
27. G. Croce and P. D'Agaro, Superlattices Microstruct. SUMIEK 0749-6036 35, 601 (2004).
28. F. Lu, J. Phys. Chem. B JPCBFK 1089-5647 108, 14970 (2004).
29. F. M. Write, Fluid Mechanics (McGraw-Hill, New York, 1979).
30. P. Gondret, Phys. Fluids PHFLE6 1070-6631 10.1063/1.869301 9, 1841 (1997).
31. D. Kandhai, J. Comput. Phys. JCTPAH 0021-9991 10.1006/jcph.1999.6191 150, 482 (1999).