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

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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. 

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@Article{CiCP-2-196, author = {I. V. Karlin, S. S. Chikatamarla and S. Ansumali}, 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 AU - I. V. Karlin, S. S. Chikatamarla & S. Ansumali 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/cicp/7903.html KW - 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. (1970). 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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