Variable sphere molecular model for inverse power law and Lennard-Jones potentials in Monte Carlo simulations

Physics of Fluids

Volumn 14, Issue 12, 2002, Pages 4256-4265

  Matsumoto, Hiroaki ^a  

^a YOKOHAMA NATIONAL UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; DEGREES OF FREEDOM (MECHANICS); DIFFUSION IN LIQUIDS; MONTE CARLO METHODS; SHOCK WAVES; STATISTICAL METHODS; VISCOSITY OF LIQUIDS;

INVERSE POWER LAW (IPL);

FLOW OF FLUIDS;

GAS FLOW; MATHEMATICAL ANALYSIS; MODELING; MONTE CARLO SIMULATION; POWER LAW FLUID; VELOCITY;

EID: 0036953830     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1517602     Document Type: Article

References (22)

1. G. A. Bird, Molecular Gas Dynamics (Clarendon, Oxford, 1976).
2. G. A. Bird, Molecular Gas Dynamics and the Direct Simulation of Gas Flow (Clarendon, Oxford, 1994).
3. K. Koura, "Null-collision technique in the direct simulation Monte Carlo method," Phys. Fluids 29, 3509 (1986).
4. K. Koura, "Null-collision Monte Carlo method: Gas mixtures with internal degrees of freedom and chemical reactions." Prog. Astron. Aeronaut. AIAA 117, 25 (1989).
5. G. A. Bird, "Monte Carlo simulation in an engineering context," Prog. Astron. Aeronaut. AIAA 74, 239 (1981).
6. G. A. Bird, "Definition of mean free path for real gases," Phys. Fluids 26, 3222 (1983).
7. H. A. Hassan and D. B. Hash, "A generalized hard sphere model for Monte Carlo simulations," Phys. Fluids A 5, 738 (1993).
8. H. Matsumoto and T. Kobayashi, "Lennard-Jones potential type isotropic scattering model for the direct simulation Monte Carlo method," Trans. Jpn. Soc. Mech. Eng. 60, 1269 (1994).
9. K. Koura, H. Matsumoto, and T. Shimada, "A test of equivalence of the variable-hard-sphere and inverse-power-law models in the direct simulation Monte Carlo method," Phys. Fluids A 3, 1835 (1991).
10. H. Matsumoto and K. Koura, "Monte Carlo simulation of normal shock wave in binary gas mixtures using the variable soft-sphere molecular model," Prog. Astronaut. Aeronaut. AIAA 158, 413 (1994).
11. K. Koura and H. Matsumoto, "Variable soft sphere molecular model for inverse-power-law and Lennard-Jones potentials," Phys. Fluids A 3, 2459 (1991).
12. K. Koura and H. Matsumoto, "Variable soft sphere molecular model for air species," Phys. Fluids A 4, 1083 (1992).
13. K. Koura, "Statistical inelastic cross-section model for the Monte Carlo simulation of molecules with discrete internal energy," Phys. Fluids A 4, 1782 (1992).
14. K. Koura, "Statistical inelastic cross-section model for the Monte Carlo simulation of molecules with continuous internal energy," Phys. Fluids A 5, 778 (1993).
15. S. Chapman and T. G. Cowling, The Mathematical Theory of Non-Uniform Gases, 3rd ed. (Cambridge, University Press, Cambridge, 1976).
16. D. A. MacQarrie, Statistical Mechanics (University Science, California, 2000).
17. J. A. Baker, W. Fock, and F. Smith, "Calculation of gas transport properties and interaction of argon atoms," Phys. Fluids 7, 897 (1964).
18. J. O. Hirschfelder, C. F. Curtiss, and R. B. Bird, Molecular Theory of Gases and Liquids (Wiley, New York, 1963).
19. T. Holtz and E. P. Muntz, "Molecular velocity distribution function in an argon normal shock wave at Mach number 7," Phys. Fluids 26, 2425 (1983).
20. J. G. Parker, "Rotational and vibrational relaxation in diatomic gases," Phys. Fluids 2, 449 (1959).
21. K. Koura, "Improved null-collision technique in the direct simulation Monte Carlo method: Application to vibrational relaxation of nitrogen," Comput. Math. Appl. 35, 139 (1998).
22. F. Robben and L. Talbot, "Experimental study of the rotational distribution function of nitrogen in a shock wave," Phys. Fluids 9, 653 (1966).