Volume 2, Issue 2
Elements of the Lattice Boltzmann Method II: Kinetics and Hydrodynamics in One Dimension

I. V. Karlin, S. S. Chikatamarla & S. Ansumali

DOI:

Commun. Comput. Phys., 2 (2007), pp. 196-238.

Published online: 2007-02

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  • 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. 

  • Keywords

Entropic lattice Boltzmann method, entropy, collision integrals, kinetic theory, multiscale expansion.

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COPYRIGHT: © Global Science Press

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@Article{CiCP-2-196, author = {}, title = {Elements of the Lattice Boltzmann Method II: Kinetics and Hydrodynamics in One Dimension}, journal = {Communications in Computational Physics}, year = {2007}, volume = {2}, number = {2}, pages = {196--238}, 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. 

}, issn = {1991-7120}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cicp/7903.html} }
TY - JOUR T1 - Elements of the Lattice Boltzmann Method II: Kinetics and Hydrodynamics in One Dimension JO - Communications in Computational Physics VL - 2 SP - 196 EP - 238 PY - 2007 DA - 2007/02 SN - 2 DO - http://dor.org/ UR - https://global-sci.org/intro/article_detail/cicp/7903.html KW - Entropic lattice Boltzmann method, entropy, collision integrals, kinetic theory, multiscale expansion. AB -

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. 

I. V. Karlin, S. S. Chikatamarla & S. Ansumali. (2020). Elements of the Lattice Boltzmann Method II: Kinetics and Hydrodynamics in One Dimension. Communications in Computational Physics. 2 (2). 196-238. doi:
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