ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)


For citation:

Malinetskii G. G., Stepantsov M. E. Lattice gas models for gasdynamics problems. Izvestiya VUZ. Applied Nonlinear Dynamics, 1996, vol. 4, iss. 4, pp. 59-64.

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Full text PDF(Ru):
(downloads: 0)
Language: 
Russian
Article type: 
Article
UDC: 
517.39

Lattice gas models for gasdynamics problems

Autors: 
Malinetskii Georgij Gennadevich, Keldysh Institute of Applied Mathematics (Russian Academy of Sciences)
Stepantsov Mikhail Evgenievich, Lomonosov Moscow State University
Abstract: 

In this paper we propose a general method of lattice gas models construction for any isothermal gasdynamical process. There is also given an example of a cellular automat simulating a non-isothermal process in gas.

Key words: 
Acknowledgments: 
The work was carried out with partial financial support from the Russian Foundation for Basic Research. Project code 96-01-01161.
Reference: 
  1. Toffoli T, Margolus H. Cellular automata machines. Cambridge: MIT Press; 1987. 200p. DOI: 10.7551/mitpress/1763.001.0001.
  2. Gardner М. Mathematical games. Sci. Am. 1970;223(4):120-123. DOI: 10.1038/scientificamerican1070-120.
  3. Berlekamp E, Conway J, Guy К. Winning ways for your mathematical plays. San Diego: Academic Press; 1982. 426 p.
  4. Hardy J, Pomeau Y, de Pazzis О. Time evolution of a two‐dimensional model system. I. Invariant states and time correlation functions. J. Math. Phys. 1978;14:1746-1759. DOI: 10.1063/1.1666248.
  5. Frisch U, Hasslacher B, Pomeau Y. Lattice-Gas Automata for the Navier-Stokes Equation. Phys. Rev. Lett. 1986;56(14):1505-1508. DOI: 10.1103/PhysRevLett.56.1505.
  6. Malinetskii GG, Stepantsov ME. Rus. J. Phys. Chem. 1995;69(8):1528.
  7. Kvasnikov IA. Thermodynamics and Statistical Physics. М: Moscow University Press; 1987. 560 p.
  8. Appert C, Zaleski S. Lattice gas with a liquid-gas transition. Phys. Rev. Lett. 1990;64(1):1-4. DOI: 10.1103/PhysRevLett.64.1.
  9. Appert C, Zaleski S. A liquid-gas model on a lattice. Physica D. 1991;47(1-2):85-96. DOI: 10.1016/0167-2789(91)90282-E.
Received: 
28.06.1996
Accepted: 
12.08.1996
Published: 
10.12.1996