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Consistent lattice Boltzmann method

Consistent lattice Boltzmann method
Consistent lattice Boltzmann method
Lack of energy conservation in lattice Boltzmann models leads to unrealistically high values of the bulk viscosity. For this reason, the lattice Boltzmann method remains a computational tool rather than a model of a fluid. A novel lattice Boltzmann model with energy conservation is derived from Boltzmann's kinetic theory. Simulations demonstrate that the new lattice Boltzmann model is the valid approximation of the Boltzmann equation for weakly compressible flows and microflows.
compressible flow, Boltzmann equation, lattice theory, flow simulation, computational fluid dynamics, Poiseuille flow
0031-9007
260605-[4pp]
Ansumali, Santosh
009529b1-cdd7-43d5-878c-8bdcb126a363
Karlin, Iliya V.
3331716f-692a-4b81-87a4-9aad489d025d
Ansumali, Santosh
009529b1-cdd7-43d5-878c-8bdcb126a363
Karlin, Iliya V.
3331716f-692a-4b81-87a4-9aad489d025d

Ansumali, Santosh and Karlin, Iliya V. (2005) Consistent lattice Boltzmann method. Physical Review Letters, 95 (26), 260605-[4pp]. (doi:10.1103/PhysRevLett.95.260605).

Record type: Article

Abstract

Lack of energy conservation in lattice Boltzmann models leads to unrealistically high values of the bulk viscosity. For this reason, the lattice Boltzmann method remains a computational tool rather than a model of a fluid. A novel lattice Boltzmann model with energy conservation is derived from Boltzmann's kinetic theory. Simulations demonstrate that the new lattice Boltzmann model is the valid approximation of the Boltzmann equation for weakly compressible flows and microflows.

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More information

Submitted date: 13 July 2005
Published date: 31 December 2005
Keywords: compressible flow, Boltzmann equation, lattice theory, flow simulation, computational fluid dynamics, Poiseuille flow

Identifiers

Local EPrints ID: 49239
URI: http://eprints.soton.ac.uk/id/eprint/49239
ISSN: 0031-9007
PURE UUID: faddb483-afb2-4c31-a064-55e071e4e21b

Catalogue record

Date deposited: 25 Oct 2007
Last modified: 13 Mar 2019 20:54

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