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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 without Underlying Boolean Microdynamics

Lattice Boltzmann Models without Underlying Boolean Microdynamics

(p.207) 13 Lattice Boltzmann Models without Underlying Boolean Microdynamics
The Lattice Boltzmann Equation

Sauro Succi

Oxford University Press

Chapter 12 showed how to circumvent two major stumbling blocks of the LGCA approach: statistical noise and exponential complexity of the collision rule. Yet, the ensuing LB still remains connected to low Reynolds flows, due to the low collisionality of the underlying LGCA rules. The high-viscosity barrier was broken just a few months later, when it was realized how to devise LB models top-down, i.e., based on the macroscopic hydrodynamic target, rather than bottom-up, from underlying microdynamics. Most importantly, besides breaking the low-Reynolds barrier, the top-down approach has proven very influential for many subsequent developments of the LB method to this day.

Keywords:   top-down approach, Reynolds number, computational complexity, collision rules, fluid viscosity

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