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Direct numerical test of the B-G-K model equation by the DSMC method

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Abstract

In the present paper the rarefied gas flow caused by the sudden change of the wall temperature and the Rayleigh problem are simulated by the DSMC method which has been validated by experiments both in global flow field and velocity distribution function level. The comparison of the simulated results with the accurate numerical solution of the B-G-K model equation shows that near equilibrium the B-G-K equation with corrected collision frequency can give accurate result but as farther away from equilibrium the B-G-K equation is not accurate. This is for the first time that the error caused by the B-G-K model equation has been revealed.

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References

  1. Bhatnagar PL, Gross EP, Krook M. A model for collison processes in gases.Physical Review, 1954, 94: 511–525

    Article  MATH  Google Scholar 

  2. Welander P. On the temperature jump in a rarefied gas.Ark Fys, 1954, 7: 507–553

    MATH  MathSciNet  Google Scholar 

  3. Bird GA. Molecular Gas Dynamics. Oxford: Clarendon Press, 1976

    Google Scholar 

  4. Bird GA. Molecular Gas Dynamics and the Direct Simulation of Gas Flows. Oxford: Clarendon Press, 1994

    Google Scholar 

  5. Shen C. DSMC method and the calculation of rarefied gas flow.Advances in Mechanics, 1996, 26(1): 1–13 (in Chinese)

    MATH  Google Scholar 

  6. Aoki K, Sone Y, Nishino K, Sugimoto H. Numerical analysis of motion of rarefied gas caused by sudden change of wall temperature. In: Beylich AE ed. Proceedings of the 17th International Symposium on Rarefied Gas Dynamics. VCH, Weinheims, 1991. 222–231

    Google Scholar 

  7. Shen C, Xu X, Hu Z, Wu W. Transient motion of rarefied gas caused by heat addition simulated by the direct simulation Monte Carlo method. Progress in Astro. and Aeronautics, 1994, 159: 234–242

    Google Scholar 

  8. Vincenti WG, C H Jr, Kruger. Introduction to Physical Gas Dynamics. John Wiley, 1965

  9. Chu CK. The high Mach number Rayleigh problem according to the Krook model. In: Brundin ed. Rarefied Gas Dynamics. New York: Academic Press, 1967. 589–605

    Google Scholar 

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Authors and Affiliations

  1. Institute of Mechanics, Chinese Academy of Sciences, 100080, Beijing, China

    Shen Ching & Yi Zhiqiang

Authors
  1. Shen Ching
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  2. Yi Zhiqiang
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The project supported by the National Natural Science Foundation of China (19772059, 19889209)

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Ching, S., Zhiqiang, Y. Direct numerical test of the B-G-K model equation by the DSMC method. Acta Mech Sinica 16, 133–140 (2000). https://doi.org/10.1007/BF02486705

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  • DOI: https://doi.org/10.1007/BF02486705

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