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Elements of the lattice Boltzmann method II: kinetics and hydrodynamics in one dimension

Elements of the lattice Boltzmann method II: kinetics and hydrodynamics in one dimension
Elements of the lattice Boltzmann method II: kinetics and hydrodynamics in one dimension
Concepts of the lattice Boltzmann method are discussed in detail for the one-dimensional kinetic model. Various techniques of constructing lattice Boltzmann models are discussed, and novel collision integrals are derived. Geometry of the kinetic space and the role of the thermodynamic projector is elucidated.
entropic lattice boltzmann method, entropy, collision integrals, kinetic theory, multi-scale expansion.
1815-2406
196-238
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.
edd9c515-cfeb-436c-a562-61171f2e0290
Ansumali, S.
419cb861-d1f8-4532-a1ab-2b56135391b5

Karlin, I.V., Chikatamarla, S.S. and Ansumali, S. (2007) Elements of the lattice Boltzmann method II: kinetics and hydrodynamics in one dimension. Communications in Computational Physics, 2 (2), 196-238.

Record type: Article

Abstract

Concepts of the lattice Boltzmann method are discussed in detail for the one-dimensional kinetic model. Various techniques of constructing lattice Boltzmann models are discussed, and novel collision integrals are derived. Geometry of the kinetic space and the role of the thermodynamic projector is elucidated.

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Published date: April 2007
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Keywords: entropic lattice boltzmann method, entropy, collision integrals, kinetic theory, multi-scale expansion.

Identifiers

Local EPrints ID: 49256
URI: http://eprints.soton.ac.uk/id/eprint/49256
ISSN: 1815-2406
PURE UUID: 9368cbf1-6a8d-49bd-b328-1ce568e62fff

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Date deposited: 26 Oct 2007
Last modified: 08 Jan 2022 19:02

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Contributors

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

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