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 - <p style="text-align: justify;">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.&nbsp;</p>