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Articles

On a modified Monte-Carlo method and variable soft sphere model for rarefied binary gas mixture flow simulation

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Pages 271-285 | Received 18 Dec 2010, Accepted 19 Apr 2011, Published online: 28 Jul 2011

References

  • Babovsky , H. 1986 . On a simulation scheme for the Boltzmann equation . Mathematical Method in the Applied Sciences , 8 : 223 – 233 .
  • Bird , G. A. 1994 . Molecular gas dynamics and the direct simulation of gas flows , London : Oxford University Press .
  • Cercignani , C. 1988 . The Boltzmann equation and its applications, Lectures Series in Mathematics , Vol. 68 , Berlin, New York : Springer-Verlag .
  • Itina , T. E. 2007 . Mechanism of small clusters production by short and ultra-short laser ablation . Journal of Applied Surface Science , 253 : 7656 – 7661 .
  • Fan , J. 2002 . A generalized soft-sphere model for Monte Carlo simulation . Physics of Fluids , 14 ( 12 ) : 4399 – 4405 .
  • Gabetta , E. , Pareschi , L. and Toscani , G. 1997 . Relaxation schemes for nonlinear kinetic equations . SIAM Journal on Numerical Analysis , 34 : 2168 – 2194 .
  • Ganjaei , A. A. and Nourazar , S. S. 2008 . Numerical simulation of a binary gas flow inside a rotating cylinder . Journal of Mechanical Science and Technology , 23 : 2848 – 2860 .
  • Ganjaei , A. A. and Nourazar , S. S. 2009 . A new algorithm for the simulation of the Boltzmann equation using the direct simulation Monte-Carlo method . Journal of Mechanical Science and Technology , 23 : 2861 – 2870 .
  • Hassan , H. A. and Hash , D. B. 1993 . A generalized hard-sphere model for Monte Carlo simulation . Physics of Fluids A , 5 : 738 – 744 .
  • Koura , K. and Matsumoto , H. 1992 . Variable soft sphere molecular model for air species . Physics of Fluids A , 4 : 1083 – 1085 .
  • Kuo , L.Y. 1990 . Problems and solutions on thermodynamics and statistical mechanics , Hackensack, NJ : World Scientific Publications .
  • Macrossan , N. M. and Lilley , R. C. 2003 . Modified generalized hard sphere collision model for DSMC calculations . Journal of Thermophysics and Heat Transfer , 17 : 289 – 291 .
  • Nourazar , S. S. and Ganjaei , A. A. 2010 . A new scheme developed for the numerical simulation of the Boltzmann equation using the direct simulation Monte-Carlo scheme for the flow about a sphere . Journal of Mechanical Science and Technology , 24 : 1989 – 1996 .
  • Pareschi , L. and Calfisch , R. E. 1999 . An implicit Monte-Carlo method for rarefied gas dynamics . Journal of Computational Physics , 154 : 154 – 190 .
  • Pareschi , L. and Russo , G. 2001 . Time relaxed Monte-Carlo methods for the Boltzmann equation . SIAM Journal on Scientific Computing , 23 : 1253 – 1273 .
  • Pareschi , L. and Trazzi , S. 2005a . Asymptotic preserving Monte-Carlo methods for the Boltzmann equation . Transport Theory and Statistical Physics , 29 : 415 – 430 .
  • Pareschi , L. and Trazzi , S. 2005b . Numerical solution of the Boltzmann equation by time relaxed Monte-Carlo (TRMC) method . International Journal of Numerical Method in Fluids , 48 : 947 – 983 .
  • Wang , M. and Li , Z. 2006 . Gas mixing in micro-channels using the direct simulation Monte-Carlo methods . International Journal of Heat and Mass Transfer , 49 : 1696 – 1702 .
  • Wang , M. and Li , Z. 2007 . An Enskog based Monte-Carlo method for high Knudsen number non-ideal gas flows . Computers & Fluids , 36 ( 8 ) : 1291 – 1297 .
  • Wang , M. , Macrossan , M. and Li , Z. 2007 . Relaxation time simulation method with internal energy exchange for perfect gas flow at near continuum region . Communications of Nonlinear Sciences and Numerical Simulation , 12 ( 7 ) : 1277 – 1282 .
  • Wild , E. 1951 . On Boltzmann's equation in the kinetic theory of gases . Proceedings of the Cambridge Philosophical Society , 47 : 602 – 609 .

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