Flux limiter lattice boltzmann scheme approach to compressible flows with flexible specific-heat ratio and prandtl number

Communications in Theoretical Physics

Volumn 56, Issue 3, 2011, Pages 490-498

  Gan, Yan Biao ^a,b,c   Xu, Ai Guo ^b   Zhang, Guang Cai ^b   Li, Ying Jun ^a  

^a CHINA UNIVERSITY OF MINING AND TECHNOLOGY   (China)

^b INSTITUTE OF APPLIED PHYSICS AND COMPUTATIONAL MATHEMATICS   (China)

^c NORTH CHINA INSTITUTE OF AEROSPACE ENGINEERING   (China)

Author keywords

compressible flows; flux limiter; lattice Boltzmann method; Prandtl number

Indexed keywords

EID: 80052928908     PISSN: 02536102     EISSN: None     Source Type: Journal    
DOI: 10.1088/0253-6102/56/3/18     Document Type: Review

References (38)

1. S. Chapman and T. Cowling 1970 The Mathematical Theory of Non-uniform, Gases (Cambridge University Press, London)
2. S. Succi 2001 The Lattice Boltzmann Equation for Fluid Dynamics and Beyond (Oxford University Press, New York)
3. A. Xu 2005 Europhys. Lett. 69 214
4. A. Xu 2005 Phys. Rev. E 71 066706
5. X. Pan, A. Xu, G. Zhang and S. Jiang 2007 Int. J. Mod. Phys. C 18 1747
6. Y. Gan, A. Xu, G. Zhang, X. Yu and Y. Li 2008 Physica A 387 1721
7. F. Chen, A. Xu, G. Zhang, Y. Gan, T. Cheng and Y. Li 2009 Commun. Theor. Phys. 52 681
8. Q. Li, Y. He, Y. Wang and W.Q. Tao 2007 Phys. Rev. E 76 056705
9. Y. Wang, Y. He, T. Zhao, G. Tang and W. Tao 2007 Int. J. Mod. Phys. C 18 1961
10. M. Watari and M. Tsutahara 2003 Phys. Rev. E 67 036306
11. F. Alexander, H. Chen, S. Chen and G. Doolen 1992 Phys. Rev. A 46 1967
12. G. Yan, Y. Chen and S. Hu 1999 Phys. Rev. E 59 454
13. C. Sun 1998 Phys. Rev. E 58 7283
14. C. Sun 2000 Phys. Rev. E 61 2645
15. T. Kataoka and M. Tsutahara 2004 Phys. Rev. E 69 035701(R)
16. K. Qu, C. Shu and Y.T. Chew 2007 Phys. Rev. E 75 036706
17. Q. Li, Y. He, Y. Wang and G. Tang 2009 Phys. Lett. A 373 2101
18. M. Watari 2007 Physica A 382 502
19. X. He, S. Chen and G. Doolen 1998 J. Comput. Phys. 146 282
20. X. Shan 1997 Phys. Rev. E 55 2780
21. Y. Chen, H. Ohashi and M. Akiyama 1997 J. Sci. Comput. 12 169
22. L. Zheng, B. Shi and Z. Guo 2008 Phys. Rev. E 78 026705
23. F. Chen, A. Xu, G. Zhang, Y. Li and S. Succi 2010 Europhys. Lett. 90 54003
24. V. Sofonea and R. Sekerka 2003 J. Comp. Phys. 184 422
25. V. Sofonea and R. Sekerka 2005 Int. J. Mod. Phys. C 16 1075
26. A. Cristea and V. Sofonea 2003 Int. J. Mod. Phys. C 14 1251
27. E. Toro 1999 Riemann Solvers and Numerical Methods for Fluid Dynamics (Springer Verlag, Berlin)
28. K. Aoki, Y. Sone and T. Yamada 1990 Phys. Fluids A 2 1867
29. Y. Gan, A. Xu, G. Zhang, P. Zhang, L. Zhang and Y. Li 2008 Commun. Theor. Phys. 50 201
30. V. Sofonea, A. Lamura, G. Gonnella and A. Cristea 2004 Phys. Rev. E 70 046702
31. A. Cristea, G. Gonnella, A. Lamura and V. Sofonea 2010 Commun. Comput. Phys. 7 350
32. A. Cristea 2006 Int. J. Mod. Phys. C 17 1191
33. C. Shu and S. Osher 1988 J. Comput. Phys. 77 439
34. G. Jiang and C. Shu 1996 J. Comput. Phys. 126 202
35. T. Chang, G. Chen and S. Yang 1995 Discrete Contin Dynam Syst. 1 555
36. P. Lax and X. Liu 1998 SIAM J. Sci. Comp. 19 319
37. C. Schulz-Rinne, J. Collins and H. Glaz 1993 SIAM J. Sci. Comp. 14 1394
38. M. Fey 1998 J. Comp. Phys. 143 159