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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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Generalized Hydrodynamics Beyond Navier–Stokes

Generalized Hydrodynamics Beyond Navier–Stokes

(p.84) 6 Generalized Hydrodynamics Beyond Navier–Stokes
The Lattice Boltzmann Equation

Sauro Succi

Oxford University Press

The work of Chapman and Enskog opened a long period, lasting about three decades, in which most of the activity in kinetic theory was directed to the computation of the transport coefficients for different types of intermolecular potentials. Seeking the solution of the full Boltzmann equation itself was not much in focus, mostly on account of its daunting complexity. This situation took a sharp turn in 1949, with the publication of Harold Grad’s thesis. This Chapter presents the derivation of generalized hydrodynamics beyond the realm of the Navier-Stokes description, with special reference to Grad’s thirteen-moment formulation.

Keywords:   Generalized hydrodynamics, Grad Expansion, Thirteen moments, Hyperbolic formulation, Series truncation

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