full
search.png

Search

close.png

Cancel

arrow
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

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

Published online: 2007-02

Preview Full PDF 2888 29893

Cited by

google scholar semantic scholar
Export citation
  • 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.

  • AMS Subject Headings

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
@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://doi.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 and S. Ansumali. (2007). Elements of the Lattice Boltzmann Method II: Kinetics and Hydrodynamics in One Dimension. Communications in Computational Physics. 2 (2). 196-238. doi:
Copy to clipboard
BibteX RIS TXT
The citation has been copied to your clipboard