Abstract
The Boltzmann equation for a mixture of particles with different masses is modeled using symmetric discrete velocity models that involve energy interchange between the species of the mixture. The computational complexity of this problem is investigated. New discrete models are presented.
Similar content being viewed by others
References
S. K. Godunov and U. M. Sultangazin, “On Discrete Velocity Models of the Boltzmann Equation,” Usp. Mat. Nauk 26(3), 1–51 (1971).
R. Monaco and L. Preziosi, Fluid Dynamic Applications of the Discrete Boltzmann Equation (World Scientific, Singapore, 1991).
A. V. Bobylev and C. Cercignani, “Discrete Velocity Models for Mixtures,” J. Stat. Phys. 91, 327–341 (1998).
V. V. Vedenyapin, Kinetic Theory According to Maxwell, Boltzmann, and Vlasov (MGOU, Moscow, 2005) [in Russian].
V. V. Vedenyapin, “Velocity Inductive Construction for Mixtures,” Transp. Theory Stat. Phys. 28, 727–742 (1999).
V. V. Vedenyapin, S. A. Amosov, and L. Toskano, “Discrete Models of the Boltzmann Equation for Mixtures,” Mat. Model., No. 7, 18–22 (2000).
S. A. Amossov, “Two-Level Discrete Models of Boltzmann Equation for Binary Mixtures,” Transp. Theory Stat. Phys. 31, 125–139 (2002).
Author information
Authors and Affiliations
Additional information
Published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2007, Vol. 47, No. 6, pp. 1045–1054.
Rights and permissions
About this article
Cite this article
Adzhiev, S.Z., Vedenyapin, V.V. On the sizes of discrete velocity models of the Boltzmann equation for mixtures. Comput. Math. and Math. Phys. 47, 998–1006 (2007). https://doi.org/10.1134/S0965542507060103
Received:
Issue Date:
DOI: https://doi.org/10.1134/S0965542507060103