Solution of the boltzmann kinetic equation for low speed flows

Transport Theory and Statistical Physics

Volumn 37, Issue 5-7, 2008, Pages 564-575

  Tcheremissine, F G ^a  

^a DORODNICYN COMPUTING CENTER   (Russian Federation)

Author keywords

Boltzmann equation; Low speed flows; Numerical solution; Rarefied gas

Indexed keywords

EID: 58149118112     PISSN: 00411450     EISSN: 15322424     Source Type: Journal    
DOI: 10.1080/00411450802515676     Document Type: Conference Paper

References (10)

1. Bird G.A. (1994). Molecular Gas Dynamics and the Direct Simulation oj Gas Flows. Oxford: Clarendon Press.
2. Tcheremissine F. (2005). Direct numerical solution of the Boltzmann equation. In: Mario Capitelli (Ed.), Rarefied Gas Dynamics: 24th Intern. Symp. Melville, N.-Y: AIP Conference Proceedings, pp. 667-685.
3. Jiang J.Z., Fan J., Shen C. (2003). Statistical simulation of micro-cavity flows. In: A.D. Ketsdever and E.P. Muntz (Eds.), Rarefied Gas Dynamics: 23rd Intern. Symp. Melville, N.-Y: AIP Conference Proceedings, pp. 784-791.
4. Korobov N. M. (1989). Trigonometric Sums and Their Applications. Moscow. Nauka.
5. Muntz E.P., Alexeenko A.A., Gimelshein S.F., Ketsdever A.D., Han Y.-L., Young M.P., Park J.H., Ngalande C., Selden N.P., Lee R.H. (2007). Low speed nano/micro/meso-scale rarefied flows driven by temperature and pressure gradients. In: M.S. Ivanov and A.K Rebrov, (ed.), Rarefied Gas Dynamics: 25-th Intern. Symposium. Russia: Novosibirsk, pp. 1085-1092.
6. Reese J.M., Gallis M.A., Lockerby D.A. (2003). New directions in fluid dynamics: non-equilibrium aerodynamic and microsystem flows. Phil. Trans. R. Soc. Land. A 361: 2967-2988.
7. Sharipov F. (2003). Rarefied gas flow through an orifice at finite pressure ratio. In: Ketsdever A.D. and Muntz E.P. (eds.), Rarefied Gas Dynamics: 23rd Intern. Symp. Melville, N.-Y., AIP Conference Proceedings. pp. 1049-1056.
8. Tcheremissine F.G. (1997). A Conservative method for calculation of the Boltzmann collision integral. Doklady Physics 42: 607-610.
9. Tcheremissine F.G. (2000). Solving the Boltzmann equation in the case of passing to the hydrodynamic flow regime. Doklady Physics 45: 401-404.
10. Tcheremissine F.G. (2002). Solution of the Wang Chang-Uhlenbeck master equation. Doklady Physics 47: 872-875.