Energy-conserving lattice Boltzmann thermal model in two dimensions

A discrete velocity model is presented for lattice Boltzmann thermal fluid dynamics. This model is implemented and tested in two dimensions with a finite difference scheme. Comparison with analytical solutions shows an excellent agreement even for wide temperature differences. An alternative approxi...

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Bibliographic Details
Published inJournal of statistical physics Vol. 121; no. 1-2; pp. 119 - 131
Main Authors PIAUD, Benjamin, BLANCO, Stéphane, FOURNIER, Richard, CLIFTON, Michael J
Format Conference Proceeding Journal Article
LanguageEnglish
Published Heidelberg Springer 01.10.2005
Subjects
Chemical engineering
Chemical Sciences
Exact sciences and technology
Physics
Statistical physics, thermodynamics, and nonlinear dynamical systems
Difference scheme
Fluid dynamics
Thermal lattice Boltzmann
Gauss Hermitte quadrature
compressihility
Lattice energy
Models
BGK approximation
Analytical solution
Compressibility
Gauss–Hermitte quadrature
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Summary:A discrete velocity model is presented for lattice Boltzmann thermal fluid dynamics. This model is implemented and tested in two dimensions with a finite difference scheme. Comparison with analytical solutions shows an excellent agreement even for wide temperature differences. An alternative approximate approach is then presented for traditional lattice transport schemes.
ISSN:0022-4715
1572-9613
1572-9613
DOI:10.1007/s10955-005-5256-6