Abstract
We present computational aspects of a parallel implementation of a multi-species thermal lattice gas. This model, which can be used to simulate reaction-diffusion phenomena in a mixture of different fluids, is analyzed for a fluid system at global equilibrium. Large system sizes combined with long-time simulation makes parallelization a necessity. We show that the model can be easily parallelized, and possesses good scalability. Profiling information shows the random number generator has become a bottleneck. The model can be statistically analyzed by calculating the dynamic structure factor S(k ω). As an illustration, we measure S(k, ω) for a one-component system, and extract the values of transport coefficients from the spectra. Finally, S(k, ω) is shown for a two-component thermal model, where the central peak is more complicated, due to the coupled entropy-concentration fluctuations.
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References
D H. Rothman and S. Zaleski. Lattice gas cellular automata. Cambridge University Press, 1997.
D. d'Humières, P. Lallemand, and U. Frisch. Lattice gas models for 3-d hydrohynamics. EuroPhys. Lett., 2:291–297, 1986.
K. Diemer, K. Hunt, S. Chen, T. Shimomura, and G. Doolen. Velocity dependence of reynolds numbers for several lattice gas models. In Doolen, editor, Lattice Gas Methods for Partial Differential Equations, pages 137–178. Addison-Wesley, 1990.
U. Frish, D. d'Humières, B. Hasslacher P. Lallemand, Y. Pomeau, and J.P. Rivet. Lattice gas hydrodynamics in two and three dimensions. Complex systems, 1:649–707, 1987.
U. Frish, B. Hasslacher, and Y. Pomeau. Lattice-gas automata for the navier-stokes equation. Physical Review Letters, 56:1505, April 1986.
P. grosfils, J.P. Boon, and P. Lallemand. Spontaneous fluctuation correlations in thermal lattice-gas automata. Physical Review Letters, 68:1077–1080, 1992.
P. grosfils, J.P. Boon, R. Brito, and M.H. Ernst. Statistical hydrodynamics of lattice-gas automata. Physical Review E, 48:2655–2668, 1993.
D. Hanon and J.P. Boon. Diffusion and correlations in lattice-gas automata. Physical Review E, 56:6331–6339, 1997.
J.P. Boon and S. Yip: Molecular Hydrodynamics. McGraw-Hill, New York, 1980.
M. Hénon. Isometric collision rules for the four-dimensional fchc lattice gas. Complex Systems 1, pages 475–494, 1987.
Copyright (C) 1998 Massachusetts Institute of Technology. The fastest fourier transform in the west. http://theory.lcs.mit.edu.
University of Chicago and Mississippi State University. Mpich. http://www.mcs.anl.gov/mpich/.
D. Kandhai, A. Koponen, A. Hoekstra, M. Kataja, J. Timonen, and P.M.A. Sloot. Lattice-boltzmann hydrodynamics on parallel systems. Computer Physics Communications, 111:14–26, 1998.
D. Kandhai, D. Dubbeldam, A.G. Hoekstra, and P.M.A. Sloot. Parallel latticeboltzmann simulation of fluid flow in centrifugal elutriation chambers. In Lecture Notes in Computer Science, number 1401, pages 173–182. Springer-Verlag, 1998.
W.H. Press, B.P. Flanney, S.A. Teukolsky, and W.T. Vetterling. Numerical Recipes in C. Cambridge University Press, 1988.
S.M. Ross. A course in Simulation. Maxwell Macmillian, New York, 1991.
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© 1999 Springer-Verlag
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Dubbeldam, D., Hoekstra, A.G., Sloot, P.M.A. (1999). Computational aspects of multi-species lattice-gas automata. In: Sloot, P., Bubak, M., Hoekstra, A., Hertzberger, B. (eds) High-Performance Computing and Networking. HPCN-Europe 1999. Lecture Notes in Computer Science, vol 1593. Springer, Berlin, Heidelberg . https://doi.org/10.1007/BFb0100595
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DOI: https://doi.org/10.1007/BFb0100595
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