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Lattice Boltzmann Method for Fluid Simulation

  • Sicilia Ferreira Judice
Living reference work entry
DOI: https://doi.org/10.1007/978-3-319-08234-9_107-1

Synonyms

Definitions

  • Cellular Automata

    A mathematical model based on simple and local rules capable of generating complex behaviors.

  • LBM

    Lattice Boltzmann method, a numerical method based in kinetic equations formulated on a mesoscopic scale.

  • LGCA

    Lattice gas cellular automata, a specific cellular automaton, whose proposal is to simulate fluids using simple and local rules that imitate a particle dynamics.

Introduction

The lattice Boltzmann method is a numerical method based in kinetic equations formulated on a mesoscopic scale, which simulates fluid dynamics on a macroscopic scale (Chen and Doolen 1998). In the last years, LBM has drawn the attention of the scientific community due to its ease of implementation and computational efficiency. Specifically in fluid dynamics, LBM has been used due to its ease of boundary conditions implementations (Chopard et al. 2002).

The method originated from the lattice gas cellular...

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References

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Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Faculty of Technical Education State of Rio de JaneiroPetropolisBrazil