Simulation of the Enskog equation à la Bird

Physics of Fluids

Volumn 9, Issue 7, 1997, Pages 2057-2060

  Montanero, José María ^a   Santos, Andrés ^a  

^a UNIVERSITY OF EXTREMADURA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

DENSE PHASE FLOW; FLUID FLOW; SIMULATION-MONTE CARLO;

EID: 0030774828     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.869325     Document Type: Article

References (18)

1. S. Chapman and T. G. Cowling. The Mathematical Theory of Non-Uniform Gases (Cambridge University Press, Cambridge, England 1970); J. H. Ferziger and H. G. Kaper, Mathematical Theory of Transport Processes in Gases (North-Holland, Amsterdam, 1972).
2. S. Chapman and T. G. Cowling. The Mathematical Theory of Non-Uniform Gases (Cambridge University Press, Cambridge, England 1970); J. H. Ferziger and H. G. Kaper, Mathematical Theory of Transport Processes in Gases (North-Holland, Amsterdam, 1972).
3. A. Santos and V. Garzó, "Exact non-linear transport from the Boltzmann equation," in Rarefied Gas Dynamics 19, edited by J. Harvey and G. Lord (Oxford University Press, Oxford, 1995), pp. 13-22.
4. See, for instance, J. W. Dufry, "Kinetic theory of fluids far from equilibrium - Exact results," in Lectures on Thermodynamics and Statistical Mechanics, edited by M. López de Haro and C. Varea (World Scientific, Singapore, 1990), pp. 166-181.
5. G. A. Bird, Molecular Gas Dynamics and the Direct Simulation of Gas Flows (Clarendon Press, Oxford, 1994).
6. K. Nanbu, "Theoretical basis of the direct simulation Monte Carlo method," in Rarefied Gas Dynamics 15, edited by V. Boffi and C. Cercignani (Teubner, Stuttgart, 1986), pp. 369-383.
7. English translation in S. G. Brush, Kinetic Theory (Pergamon, New York, 1972), Vol. 3, pp. 226-259.
8. H. van Beijeren and M. H. Ernst. "The modified Enskog equation," Physica 68, 437 (1973).
9. J. W. Dufty, A. Santos, and J. J. Brey, "Practical kinetic model for hard sphere dynamics," Phys. Rev. Lett. 77, 1270 (1996).
10. F. J. Alexander, A. L. Garcia, and B. J. Alder, "A consistent Boltzmann algorithm," Phys. Rev. Lett. 74, 5212 (1995).
11. J. M. Montanero and A. Santos, "Monte Carlo simulation method for the Enskog equation," Phys. Rev. E 54, 438 (1996).
12. J. M. Montanero and A. Santos, "Viscometric effects in a dense hard-sphere fluid," Physica A (to be published).
13. J. M. Montanero and A. Santos, "Thermal conductivity from a simulation Monte Carlo method for the Enskog equation," in Rarefied Gas Dynamics 20, edited by C. Shen (Peking University Press) (in press).
14. C. Greengard and L. G. Reyna, "Conservation of expected momentum and energy in Monte Carlo particle simulation," Phys. Fluids A 4, 849 (1992).
15. A. W. Lees and S. F. Edwards "The computer study of transport processes under extreme conditions," J. Phys. C 5, 1921 (1972).
16. J. W. Dufty, J. J. Brey, and A. Santos, "Some theoretical aspects of nonequilibrium simulation methods," in Molecular-Dynamics Simulations of Statistical-Mechanical Systems, edited by G. Ciccotti and W. G. Hoover (North-Holland, Amsterdam, 1986), pp. 294-303.
17. N. F. Carnahan and K. E. Starling, "Equation of state for nonattracting rigid spheres," J. Chem. Phys. 51, 635 (1989).
18. J. F. Lutsko (unpublished).