Monte Carlo simulation of the Boltzmann equation for uniform shear flow

Physics of Fluids

Volumn 8, Issue 7, 1996, Pages 1981-1983

  Montanero, J M ^a   Santos, A ^a   Garzo V ^a  

^a UNIVERSITY OF EXTREMADURA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

SHEAR FLOW; SIMULATION-MONTE CARLO;

EID: 0029675795     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.868979     Document Type: Article

References (11)

1. A. Santos and V. Garzó "Exact moment solution of the Boltzmann equation for uniform shear flow," Physica A 213, 409 (1995).
2. D. J. Evans and G. P. Morriss, Statistical Mechanics of Nonequilibrium Liquids (Academic, London, 1990).
3. See C. Truesdell and R. Muncaster, Fundamentals of Maxwell's Kinetic Theory of a Simple Monatomic Gas (Academic, New York, 1980), Ch. XIV.
4. A. Santos, V. Garzó, J. J. Brey, and J. W. Dufty, "Singular behavior of shear flow far from equilibrium," Phys. Rev. Lett. 71, 3971 (1993); 72, 1392 (E) (1994).
5. A. Santos, V. Garzó, J. J. Brey, and J. W. Dufty, "Singular behavior of shear flow far from equilibrium," Phys. Rev. Lett. 71, 3971 (1993); 72, 1392 (E) (1994).
6. J. M. Montanero, A. Santos, and V. Garzó, "Singular behavior of the velocity moments of a dilute gas under uniform shear flow," Phys. Rev. E 53, 1269 (1996).
7. G. A. Bird, Molecular Gas Dynamics and the Direct Simulation of Gas Flows (Clarendon, Oxford, 1994);
8. K. Nanbu, "Theoretical basis of the direct simulation Monte Carlo method," in Rarefied Gas Dynamics 15, edited by V. Boffi and C. Cercignani (B. G. Teubner, Stuttgart, 1986), pp. 369-383.
9. C. Cercignani and S. Cortese, "Validation of a Monte Carlo simulation of the plane Couette flow of a rarefied gas," J. Stat. Phys. 75, 817 (1994).
10. J. M. Montanero and A. Santos, "Comparison of the DSMC method with an exact solution of the Boltzmann equation," in Rarefied Gas Dynamics 19, edited by J. Harvey and G. Lord (Oxford University Press, Oxford, 1995), Vol. 2, pp. 899-905.
11. A. Santos and J. J. Brey, "Far from equilibrium velocity distribution of a dilute gas," Physica A 174, 355 (1991). In this paper, the BGK equation is solved in the absence of a thermostat, However, all the results derived for Maxwell molecules also apply for any potential in the presence of the thermostat.