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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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Thermohydrodynamic LBE Schemes

Thermohydrodynamic LBE Schemes

Chapter:
(p.369) 22 Thermohydrodynamic LBE Schemes
Source:
The Lattice Boltzmann Equation
Author(s):

Sauro Succi

Publisher:
Oxford University Press
DOI:10.1093/oso/9780199592357.003.0022

This chapter describes extensions of the LB scheme to thermal flows, where temperature is no longer a control parameter constant throughout the fluid, but a dynamic field evolving in space and time under the drive of energy fluxes within the flow and with the external environment. The extension from a thermal to thermal lattice fluids involves a significant leap of complexity, due to the need of correctly recovering higher order kinetic moments associated with the energy.

Keywords:   fluid temperature, thermo-hydrodynamics, heat-flux, higher-order lattices, kinetic moments

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