Modified relaxation time Monte Carlo method for continuum-transition gas flows

Journal of Computational Physics

Volumn 227, Issue 9, 2008, Pages 4763-4775

  Lan, Xudong ^a   Sun, Jun ^a   Li, Zhixin ^a  

^a BEIJING UNIVERSITY OF POSTS AND TELECOMMUNICATIONS   (China)

Author keywords

BGK model equation; Continuum transition regime; Micro gas flow; Modified RTMC

Indexed keywords

FLOW OF GASES; GASES; MEMS; MONTE CARLO METHODS;

BGK MODEL EQUATION; CONTINUUM TRANSITIONS; CONTINUUM-TRANSITION REGIME; MEMS (MICROELECTROMECHANICAL SYSTEM); MICROGAS FLOW; MODIFIED RELAXATION TIME MONTE CARLO; MONTECARLO METHODS; STATISTIC MODELING; TRANSITION REGIMES; TRANSLATIONAL TEMPERATURE;

RELAXATION TIME;

EID: 40849125376     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2008.01.012     Document Type: Article

References (21)

1. Bird G.A. Molecular Gas Dynamics and the Direct Simulation of Gas Flows (1994), Clarendon Press
2. Karniadakis G.E., and Beskok A. Micro Flows: Fundamentals and Simulation (2002), Springer
3. Ying C.T. Gas Transport Theory and Application (1990), Tsinghua University Press, Beijing
4. Pullin D.I. Direct simulation methods for compressible inviscid ideal-gas flow. J. Comput. Phys. 34 (1980) 231
5. Chen W.F., Wu M.Q., and Ren B. On study of hybrid DSMC/EPSM method. Chinese J. Comput. Mech. 20 (2003) 274
6. M.N. Macrossan, A particle simulation method for the BGK equation, in: T. Bartel, M. Gallis (Ed.), Rarefied Gas Dynamics Proceedings of the 22nd International Symposium, Sydney, Am. Inst. Phys., NY 2001, p. 426.
7. Macrossan M.N. ν-DSMC: A fast simulation method for rarefied flow. J. Comput. Phys. 173 (2001) 600
8. Macrossan M.N. μ-DSMC: A general viscosity method for rarefied flows. J. Comput. Phys. 185 (2003) 612
9. M.R. Wang, Monte Carlo simulation on micro- and nanoscale gas flow and heat transfer, Ph.D. thesis, Tsinghua University, 2004.
10. Wang M.R., Macrossan M.N., and Li Z.X. Relaxation time simulation method with internal energy exchange for perfect gas flow at continuum-transition region. Commun. Nonlinear Sci. Numer. Simulation 12 (2007) 1277
11. Holway L.H. New statistical models for kinetic theory: methods of construction. Phys. Fluids. 9 (1966) 1658
12. Zhang X.W., Hu S.G., and Zhang C.J. On the spatially homogeneous ES model of the Boltzmann equation. Math. Appl. 19 2 (2006) 426
13. Xu K., and Josyula E. Multiple translational temperature model and its shock structure solution. Phys. Rev. E 71 (2005) 056308
14. Xu K., and Liu H.W. Multiple-temperature kinetic model for continuum and near continuum flows. Phys. Fluids. 19 (2007) 016101
15. Xu K., and Liu H.W. Multiscale gas-kinetic simulation for continuum and continuum-transition flows. Phys. Rev. E 75 (2007) 016306
16. Grad H. On the kinetic theory of rarefied gases. Pure Appl. Math. 5 (1949) 325
17. Mott-Smith H.M. The solution of the Boltzmann equation for a shock wave. Phys. Rev. 82 (1952) 885
18. Bird G A. Direct simulation of the Boltzmann equation. Phys. Fluids 13 (1970) 2676
19. Bhatnagar P.L., Gross E.P., and Krook M.A. Model for collision processes in gases. I. Small amplitude processes in charged and neutral one-component systems. Phys. Rev. 94 3 (1954) 511
20. A. Beskok, Simulation and models for gas flows in microgeometries, Ph.D. thesis, Princeton University, 1996.
21. Wang M.R., Wang J.K., and Li Z.X. New implement of pressure boundary conditions for DSMC. Chinese J. Comput. Phys. 21 4 (2004) 316