Numerical comparison of Bhatnagar-Gross-Krook models with proper Prandtl number

Physics of Fluids

Volumn 16, Issue 8, 2004, Pages 2797-2813

  Mieussens, Luc ^a   Struchtrup, Henning ^b  

^a UNIVERSITÉ DE TOULOUSE   (France)

^b UNIVERSITY OF VICTORIA   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

ENTROPY; MATHEMATICAL MODELS; PRANDTL NUMBER; THERMAL CONDUCTIVITY; VISCOSITY;

BHATNAGAR-GROSS-KROOK (BGK); CHAPMAN-ENSKOG METHOD; COLLISION FREQUENCIES; COUETTE FLOW;

FLUID DYNAMICS;

COUETTE FLOW; MATHEMATICAL ANALYSIS; PRANDTL NUMBER;

EID: 4344655784     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1758217     Document Type: Article

References (17)

1. P.L. Bhatnagar, E.P. Gross, and M. Krook, "A model for collision processes in gases. I. Small amplitude processes in charged and neutral one-component systems," Phys. Rev. 94, 511 (1954).
2. M. Krook, "Continuum equations in the dynamics of rarefied gases," J. Fluid Mech. 6, 523 (1959).
3. C. Cercignani, Theory and Application of the Boltzmann Equation (Scottish Academic Press, Edinburgh, 1975).
4. L.H. Holway, "New statistical models for kinetic theory: Methods of construction," Phys. Fluids 9, 1658 (1966).
5. P. Andries, P. Le Tallec, J. Perlat, and B. Perthame, "The Gaussian-BGK model of Boltzmann equation with small Prandtl numbers," Eur. J. Mech. B/Fluids 19, 813 (2000).
6. F. Bouchut and B. Perthame, "A BGK model for small Prandtl number in the Navier-Stokes approximation," J. Stat. Phys. 71, 191 (1993).
7. H. Struchtrup, "The BGK model with velocity dependent collision frequency," Continuum Mech. Thermodyn. 9, 23 (1997).
8. P. Charrier, B. Dubroca, J.-L. Feugeas, and L. Mieussens, "Modèles à vitesses discrètes pour le calcul d'écoulements hors équilibre cinétique," C. R. Acad. Sci. Paris 326, 1347 (1998).
9. L. Mieussens, "Discrete-velocity models and numerical schemes for the Boltzmann-BGK equation in plane and axisymmetric geometries," J. Comput. Phys. 162, 429 (2000).
10. L. Mieussens, "Discrete velocity model and implicit scheme for the BGK equation of rarefied gas dynamics," Math. Models Meth. Appl. Sci. 10, 1121 (2000).
11. I. Müller, Thermodynamics (Pitman, Boston, 1985).
12. R.L. Liboff, The Theory of Kinetic Equations (Wiley, New York, 1969).
13. S. Chapman and T.G. Cowling, The Mathematical Theory of Non-Uniform Gases (Cambridge University Press, Cambridge, 1970).
14. G.A. Bird, Molecular Gas Dynamics and the Direct Simulation of Gas Flows (Oxford Science, Oxford, 1994).
15. K. Aoki, K. Kanba, and S. Takata, "Numerical analysis of a supersonic rarefied gas flow past a flat plate," Phys. Fluids 9, 1144 (1997).
16. A. Frezzotti, "Numerical investigation of the strong evaporation of a polyatomic gas," in Proceedings of the 17th Symposium on Rarefied Gas Dynamics, 1991, pp. 1243-1250.
17. Y. Sone and S. Takata, "Discontinuity of the velocity distribution function in a rarefied gas around a convex body and the S layer at the bottom of the Knudsen layer," Transp. Theory Stat. Phys. 21, 501