First-order Chapman-Enskog velocity distribution function in a granular gas

Physica A: Statistical Mechanics and its Applications

Volumn 376, Issue 1-2, 2007, Pages 75-93

  Montanero, José María ^a   Santos, Andrés ^a   Garzó, Vicente ^a  

^a UNIVERSITY OF EXTREMADURA   (Spain)

Author keywords

Boltzmann kinetic theory; DSMC method; First order Chapman Enskog distribution function; Granular gases

Indexed keywords

APPROXIMATION THEORY; FUNCTIONS; INTEGRAL EQUATIONS; KINETIC THEORY OF GASES; LINEAR EQUATIONS; PROBABILITY DISTRIBUTIONS;

BOLTZMANN KINETIC THEORY; DSMC METHOD; FIRST-ORDER CHAPMAN-ENSKOG DISTRIBUTION FUNCTION; GRANULAR GASES;

GRANULAR MATERIALS;

EID: 33846148397     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physa.2006.10.080     Document Type: Article

References (44)

1. Campbell C.S. Annu. Rev. Fluid Mech. 22 (1990) 57
2. Goldhirsch I. Annu. Rev. Fluid Mech. 35 (2003) 267
3. Goldhirsch I., and van Noije T.P.C. Phys. Rev. E 61 (2000) 3241
4. Dufty J.W., and Garzó V. J. Stat. Phys. 105 (2001) 723
5. Dufty J.W., Brey J.J., and Lutsko J. Phys. Rev. E 65 (2002) 051303
6. Dufty J.W., and Brey J.J. J. Stat. Phys. 109 (2002) 433
7. Brey J.J., Dufty J.W., and Ruiz-Montero M.J. In: Pöschel T., and Brilliantov N. (Eds). Granular Gas Dynamics (2003), Springer, Berlin 227-249
8. J. Dufty, A. Baskaran, J.J. Brey, J. Stat. Mech. (2006) L08002.
9. Goldshtein A., and Shapiro M. J. Fluid Mech. 282 (1995) 75
10. Brey J.J., Dufty J.W., and Santos A. J. Stat. Phys. 87 (1997) 1051
11. Brey J.J., and Ruiz-Montero M.J. Phys. Rev. E 70 (2004) 051301
12. Brey J.J., Ruiz-Montero M.J., Maynar P., and García de Soria M.I. J. Phys.: Condens. Matter 17 (2005) S2489
13. Chapman S., and Cowling T.G. The Mathematical Theory of Nonuniform Gases (1970), Cambridge University Press, Cambridge
14. Brey J.J., Dufty J.W., Kim C.S., and Santos A. Phys. Rev. E 58 (1998) 4638
15. Brey J.J., and Cubero D. In: Pöschel T., and Luding S. (Eds). Granular Gases (2001), Springer, Berlin 59-78
16. Garzó V., and Montanero J.M. Physica A 313 (2002) 336
17. Garzó V., and Dufty J.W. Phys. Fluids 14 (2002) 1476
18. Garzó V., and Montanero J.M. Phys. Rev. E 69 (2004) 021301
19. Garzó V., and Dufty J.W. Phys. Rev. E 59 (1999) 5895
20. Lutsko J.F. Phys. Rev. E 72 (2005) 021306
21. Brey J.J., Ruiz-Montero M.J., and Cubero D. Europhys. Lett. 48 (1999) 359
22. Montanero J.M., and Garzó V. Phys. Rev. E 67 (2003) 021308
23. Garzó V., and Montanero J.M. Phys. Rev. E 68 (2003) 041302
24. J.M. Montanero, A. Santos, V. Garzó, in: M. Capitelli (Ed.), Rarefied Gas Dynamics: 24th International Symposium on Rarefied Gas Dynamics, AIP Conference Proceedings, vol. 762, Melville, NY, 2005, pp. 797-802; preprint cond-mat/0411219.
25. Evans D.J. Phys. Lett. A 91 (1982) 457
26. Gillan M.J., and Dixon M. J. Phys. C: Solid State Phys. 16 (1983) 869
27. Evans D.J. Phys. Rev. A 34 (1986) 1449
28. Montanero J.M., and Santos A. In: Shen C. (Ed). Rarefied Gas Dynamics 20 (1997), Peking University Press, Beijing 137-142
29. Loose W. Phys. Rev. A 40 (1989) 2625
30. Garzó V., and Santos A. Chem. Phys. Lett. 177 (1991) 79
31. Garzó V., Santos A., and Montanero J.M. Modified Sonine approximation for the Navier-Stokes transport coefficients of a granular gas. Physica A 376 (2007) 94
32. van Noije T.P.C., and Ernst M.H. Granular Matter 1 (1998) 57
33. Esipov S.E., and Pöschel T. J. Stat. Phys. 86 (1997) 1385
34. M. Abramowitz, I.A. Stegun (Eds.), Handbook of Mathematical Functions, Dover, New York, 1972.
35. Montanero J.M., and Santos A. Granular Matter 2 (2000) 53
36. Coppex F., Droz M., Piasecki J., and Trizac E. Physica A 329 (2003) 114
37. Brey J.J., and Dufty J.W. Phys. Rev. E 72 (2005) 011303
38. Bird G. Molecular Gas Dynamics and the Direct Simulation of Gas Flows (1994), Clarendon, Oxford
39. Alexander F.J., and Garcia A.L. Comp. Phys. 11 (1997) 588
40. Wagner W. J. Stat. Phys. 66 (1992) 1011
41. Gallis M.A., Torczynski J.R., and Rader D.J. Phys. Rev. E 69 (2004) 042201
42. Brey J.J., Cubero D., and Ruiz-Montero M.J. Phys. Rev. E 59 (1999) 1256
43. Brilliantov N.V., and Pöschel. Europhys. Lett. 74 (2006) 424
44. N.V. Brilliantov, Pöschel, Erratum, Europhys. Lett. 75 (2006) 188.