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Cellular Automata And Lattice Boltzmann Techniques: An Approach To Model And Simulate Complex Systems

Author

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  • BASTIEN CHOPARD

    (Computer Science Department, University of Geneva, 24 rue General-Dufour, 1211 Geneva 4, Switzerland)

  • ALEXANDRE DUPUIS

    (Computer Science Department, University of Geneva, 24 rue General-Dufour, 1211 Geneva 4, Switzerland)

  • ALEXANDRE MASSELOT

    (Computer Science Department, University of Geneva, 24 rue General-Dufour, 1211 Geneva 4, Switzerland)

  • PASCAL LUTHI

    (Computer Science Department, University of Geneva, 24 rue General-Dufour, 1211 Geneva 4, Switzerland)

Abstract

We discuss the cellular automata approach and its extensions, the lattice Boltzmann and multiparticle methods. The potential of these techniques is demonstrated in the case of modeling complex systems. In particular, we consider applications taken from various fields of physics, such as reaction-diffusion systems, pattern formation phenomena, fluid flows, fracture processes and road traffic models.

Suggested Citation

  • Bastien Chopard & Alexandre Dupuis & Alexandre Masselot & Pascal Luthi, 2002. "Cellular Automata And Lattice Boltzmann Techniques: An Approach To Model And Simulate Complex Systems," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 5(02n03), pages 103-246.
    • Handle: RePEc:wsi:acsxxx:v:05:y:2002:i:02n03:n:s0219525902000602
    DOI: 10.1142/S0219525902000602
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    Citations

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    Cited by:

    1. Lätt, Jonas & Chopard, Bastien & Succi, Sauro & Toschi, Federico, 2006. "Numerical analysis of the averaged flow field in a turbulent lattice Boltzmann simulation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 362(1), pages 6-10.
    2. Casse, Jérôme & Marckert, Jean-François, 2015. "Markovianity of the invariant distribution of probabilistic cellular automata on the line," Stochastic Processes and their Applications, Elsevier, vol. 125(9), pages 3458-3483.
    3. David, Claire & Sagaut, Pierre, 2016. "Structural stability of Lattice Boltzmann schemes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 444(C), pages 1-8.

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