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Entropy and Galilean invariance of lattice Boltzmann theories

Entropy and Galilean invariance of lattice Boltzmann theories
Entropy and Galilean invariance of lattice Boltzmann theories
A theory of lattice Boltzmann (LB) models for hydrodynamic simulation is developed upon a novel relation between entropy construction and roots of Hermite polynomials. A systematic procedure is described for constructing numerically stable and complete Galilean invariant LB models. The stability of the new LB models is illustrated with a shock tube simulation.
0031-9007
190601-[4pp]
Chikatamarla, Shyam S.
49bf5769-dbc2-4f8f-bb04-d9e79ac2e682
Karlin, I.V.
3f0e01a2-c4d9-4210-9ef3-47e6c426cc8a
Chikatamarla, Shyam S.
49bf5769-dbc2-4f8f-bb04-d9e79ac2e682
Karlin, I.V.
3f0e01a2-c4d9-4210-9ef3-47e6c426cc8a

Chikatamarla, Shyam S. and Karlin, I.V. (2006) Entropy and Galilean invariance of lattice Boltzmann theories. Physical Review Letters, 97 (19), 190601-[4pp]. (doi:10.1103/PhysRevLett.97.190601).

Record type: Article

Abstract

A theory of lattice Boltzmann (LB) models for hydrodynamic simulation is developed upon a novel relation between entropy construction and roots of Hermite polynomials. A systematic procedure is described for constructing numerically stable and complete Galilean invariant LB models. The stability of the new LB models is illustrated with a shock tube simulation.

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Published date: 10 November 2006

Identifiers

Local EPrints ID: 49252
URI: http://eprints.soton.ac.uk/id/eprint/49252
ISSN: 0031-9007
PURE UUID: c6f53947-c0a9-4d15-a785-e12aec058041

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Date deposited: 26 Oct 2007
Last modified: 13 Mar 2019 20:54

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Contributors

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

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