Abstract
A hydrodynamic cellular automata (HDCA) for simulating two-dimensional fluids with large viscosities is proposed. The model is characterized by a mean free path which is of the same size as in the FHP-II model, but with a viscosity more than 10 times larger. This new model should make simulations of flows at low Reynolds number more efficient.
This is a preview of subscription content, log in via an institution to check access.
References
U. Frisch, B. Hasslacher, and Y. Pomeau,Phys. Rev. Lett. 56:1505 (1986); M. Hénon,Complex Systems 1:763 (1987).
S. A. Orszag and V. Yakhot,Phys. Rev. Lett. 56:1691 (1986).
D. H. Rothman,Geophysics 53:509 (1988).
S. Chen, K. Diemer, G. D. Doolen, K. Eggert, C. Fu, S. Gutman, and B. Travis, in Proceedings of the NATO Advanced Workshop on Lattice Gas Methods for PDE's, G. D. Doolen, ed.,Physica D 47 (1991); A. Cancelliere, C. Chang, E. Foti, D. Rothman, and S. Succi,Phys. Fluids A 2:2085 (1990).
G. A. Kohring,J. Phys. (Paris)II 1:87, 593 (1991).
U. Brosa,J. Phys. (Paris)51:1051 (1990); U. Brosa, C. Küttner, and U. Werner,J. Stat. Phys. 60:875 (1990); E. G. Flekkøy, J. Feder, and T. Jøssang, Preprint, University of Oslo (August 1991).
H. A. Lira,Phys. Rev. A 40:968 (1989).
U. Frisch, D. D'Humières, B. Hasslacher, P. Lallemand, Y. Pomeau, and J.-P. Rivet,Complex Systems 1:649 (1987).
G. A. Kohring,Int. J. Mod. Phys. C, in press.
D. Rothman and J. Keller,J. Stat. Phys. 52:1119 (1988); J. A. Somers and P. C. Rem,Physica D 47:39 (1991).
Author information
Authors and Affiliations
Additional information
Communicated by D. Stauffer
Rights and permissions
About this article
Cite this article
Kohring, G.A. An efficient hydrodynamic cellular automata for simulating fluids with large viscosities. J Stat Phys 66, 1177–1184 (1992). https://doi.org/10.1007/BF01055725
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01055725