Abstract
A simple method to compute the drag coefficient of two-dimensional bodies with arbitrary shapes is presented. The procedure is based on cellular automata as an extreme idealization of the molecular dynamics of a viscous fluid. We verify the algorithm by examples and obtain results in quantitative agreement with experiments even when eddies behind the obstacle are formed.
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References
U. Frisch, B. Hasslacher, and Y. Pomeau,Phys. Rev. Lett. 56:1505 (1986).
S. Wolfram, ed.,Theory and Applications of Cellular Automata (World Scientific, Singapore, 1986).
D. d'Humieres and P. Lallemand,Complex Systems 1:599 (1987).
H. A. Lim,Phys. Rev. A 40:968 (1989).
H. A. Lim,Complex Systems 2:45 (1988).
F. Hayot, M. Mandal, and P. Sadayappan,J. Comp. Phys. 80:277 (1989).
U. Brosa and D. Stauffer,J. Stat. Phys. 57:399 (1989).
O. C. Zienkiewicz,The Finite Element Method (McGraw-Hill, London, 1977).
C. Canuto, M. Y. Hussaini, A. Quarteroni, and T. A. Zang,Spectral Methods in Fluid Dynamics (Springer, Berlin, 1988).
J. P. Dahlburg, D. Montgomery, and G. D. Doolen,Phys. Rev. A 36:2471 (1987).
B. Dubrulle, U. Frisch, M. Hénon, and J.-P. Rivet, Low viscosity lattice gases,J. Stat. Phys., to appear.
H. Lamb,Hydrodynamics (Cambridge University Press, Cambridge, 1975).
H. Schlichting,Grenzschicht-Theorie (Braun-Verlag, Karlsruhe, 1982).
M. Van Dyke,An Album of Fluid Motion (Parabolic Press, Stanford, California, 1982).
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Duarte, J.A.M.S., Brosa, U. Viscous drag by cellular automata. J Stat Phys 59, 501–508 (1990). https://doi.org/10.1007/BF01015579
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DOI: https://doi.org/10.1007/BF01015579