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Galilean-invariant lattice-Boltzmann models with H theorem

Galilean-invariant lattice-Boltzmann models with H theorem
Galilean-invariant lattice-Boltzmann models with H theorem
We demonstrate that the requirement of Galilean invariance determines the choice of H function for a wide class of entropic lattice-Boltzmann models for the incompressible Navier-Stokes equations. The required H function has the form of the Burg entropy for D=2, and of a Tsallis entropy with q=1-(2/D) for D>2, where D is the number of spatial dimensions. We use this observation to construct a fully explicit, unconditionally stable, Galilean-invariant, lattice-Boltzmann model for the incompressible Navier-Stokes equations, for which attainable Reynolds number is limited only by grid resolution.
1063-651X
25103
Boghosian, B.M.
1129f2c2-65ec-44d6-b4b0-175ff7b7bafd
Love, P.J.
23953995-a403-483b-b480-e64c4e289012
Coveney, P.V.
7eaae54c-24f0-462d-a127-bf44b0c5d16b
Karlin, I.V.
3f0e01a2-c4d9-4210-9ef3-47e6c426cc8a
Succi, S.
159d4d9f-4607-4485-8fca-4d7ad11db6f4
Yepez, J.
087ee9e4-a175-4ae7-93be-c722ccd797c1
Boghosian, B.M.
1129f2c2-65ec-44d6-b4b0-175ff7b7bafd
Love, P.J.
23953995-a403-483b-b480-e64c4e289012
Coveney, P.V.
7eaae54c-24f0-462d-a127-bf44b0c5d16b
Karlin, I.V.
3f0e01a2-c4d9-4210-9ef3-47e6c426cc8a
Succi, S.
159d4d9f-4607-4485-8fca-4d7ad11db6f4
Yepez, J.
087ee9e4-a175-4ae7-93be-c722ccd797c1

Boghosian, B.M., Love, P.J., Coveney, P.V., Karlin, I.V., Succi, S. and Yepez, J. (2003) Galilean-invariant lattice-Boltzmann models with H theorem. Physical Review E, 68 (2), 25103. (doi:10.1103/PhysRevE.68.025103).

Record type: Article

Abstract

We demonstrate that the requirement of Galilean invariance determines the choice of H function for a wide class of entropic lattice-Boltzmann models for the incompressible Navier-Stokes equations. The required H function has the form of the Burg entropy for D=2, and of a Tsallis entropy with q=1-(2/D) for D>2, where D is the number of spatial dimensions. We use this observation to construct a fully explicit, unconditionally stable, Galilean-invariant, lattice-Boltzmann model for the incompressible Navier-Stokes equations, for which attainable Reynolds number is limited only by grid resolution.

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Published date: August 2003

Identifiers

Local EPrints ID: 49165
URI: http://eprints.soton.ac.uk/id/eprint/49165
ISSN: 1063-651X
PURE UUID: 494f3570-9721-48e0-bd6c-ec9077f19315

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Date deposited: 24 Oct 2007
Last modified: 08 Jan 2022 13:02

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Contributors

Author: B.M. Boghosian
Author: P.J. Love
Author: P.V. Coveney
Author: I.V. Karlin
Author: S. Succi
Author: J. Yepez

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