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The Lattice Boltzmann EquationFor Complex States of Flowing Matter$
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The Lattice Boltzmann Equation: For Complex States of Flowing Matter

Sauro Succi

Print publication date: 2018

Print ISBN-13: 9780199592357

Published to Oxford Scholarship Online: June 2018

DOI: 10.1093/oso/9780199592357.001.0001

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Lattice Gas-Cellular Automata

Lattice Gas-Cellular Automata

Chapter:
(p.171) 11 Lattice Gas-Cellular Automata
Source:
The Lattice Boltzmann Equation
Author(s):

Sauro Succi

Publisher:
Oxford University Press
DOI:10.1093/oso/9780199592357.003.0011

This chapter discusses the ancestor of the Lattice Boltzmann, the Boolean formulation of hydrodynamics known as lattice Gas Cellular Automata. In 1986, Uriel Frisch, Brosl Hasslacher and Yves Pomeau sent big waves across the fluid dynamics community: a simple cellular automaton obeying nothing but conservation laws at a microscopic level was able to reproduce the complexity of real fluid flows. This discovery spurred great excitement in the fluid dynamics community. The prospects were tantalizing: around free, intrinsically parallel computational paradigm for fluid flows. However, a few serious problems were quickly recognized and addressed with great intensity in the following years.

Keywords:   lattice gas Hydrodynamics, Cellular Automata, Boolean dynamics, Lattice Boltzmann, exact computing

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