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Entropic lattice Boltzmann models for hydrodynamics in three dimensions

Entropic lattice Boltzmann models for hydrodynamics in three dimensions
Entropic lattice Boltzmann models for hydrodynamics in three dimensions
Efficient, nonlinearly stable entropic lattice Boltzmann models for computational fluid dynamics are presented. A new method of fast evaluation of equilibria to machine precision is proposed. Analytical solution is found for the collision step which guarantees stability and thermodynamic consistency of the scheme. As an example, a novel 15-velocity lattice Boltzmann model is derived and validated with a simulation of a three-dimensional backward-facing step flow.
0031-9007
010201-[4pp]
Chikatamarla, S.S.
edd9c515-cfeb-436c-a562-61171f2e0290
Ansumali, S.
419cb861-d1f8-4532-a1ab-2b56135391b5
Karlin, I.V.
3f0e01a2-c4d9-4210-9ef3-47e6c426cc8a
Chikatamarla, S.S.
edd9c515-cfeb-436c-a562-61171f2e0290
Ansumali, S.
419cb861-d1f8-4532-a1ab-2b56135391b5
Karlin, I.V.
3f0e01a2-c4d9-4210-9ef3-47e6c426cc8a

Chikatamarla, S.S., Ansumali, S. and Karlin, I.V. (2006) Entropic lattice Boltzmann models for hydrodynamics in three dimensions. Physical Review Letters, 97 (1), 010201-[4pp]. (doi:10.1103/PhysRevLett.97.010201).

Record type: Article

Abstract

Efficient, nonlinearly stable entropic lattice Boltzmann models for computational fluid dynamics are presented. A new method of fast evaluation of equilibria to machine precision is proposed. Analytical solution is found for the collision step which guarantees stability and thermodynamic consistency of the scheme. As an example, a novel 15-velocity lattice Boltzmann model is derived and validated with a simulation of a three-dimensional backward-facing step flow.

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Submitted date: 9 December 2005
Published date: 7 July 2006

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Local EPrints ID: 49243
URI: http://eprints.soton.ac.uk/id/eprint/49243
ISSN: 0031-9007
PURE UUID: b8b53192-bd0b-4be7-9dfd-004cedc3bf6e

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Date deposited: 25 Oct 2007
Last modified: 15 Mar 2024 09:54

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Contributors

Author: S.S. Chikatamarla
Author: S. Ansumali
Author: I.V. Karlin

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