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The Lattice Boltzmann EquationFor Complex States of Flowing Matter$
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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 Boltzmann Models with Underlying Boolean Microdynamics

Lattice Boltzmann Models with Underlying Boolean Microdynamics

(p.195) 12 Lattice Boltzmann Models with Underlying Boolean Microdynamics
The Lattice Boltzmann Equation

Sauro Succi

Oxford University Press

This chapter takes a walk into the Jurassics of LBE, namely the earliest Lattice Boltzmann model that grew up out in response to the main drawbacks of the underlying LGCA. The earliest LBE was first proposed by G. McNamara and G. Zanetti in 1988, with the explicit intent of sidestepping the statistical noise problem plaguing its LGCA ancestor. The basic idea is simple: just replace the Boolean occupation Numbers with the corresponding ensemble-averaged population. The change in perspective is exactly the same as in Continuum Kinetic Theory (CKT); instead of tracking single Boolean molecules, one contents himself with the time history of a collective population representing a “cloud” of microscopic degrees of freedom.

Keywords:   lattice gas cellular automata, Lattice Boltzmann, statistical noise, microdynamics

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