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

Year:    2007

Communications in Computational Physics, Vol. 2 (2007), Iss. 2 : pp. 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. 

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2007-CiCP-7903

Communications in Computational Physics, Vol. 2 (2007), Iss. 2 : pp. 196–238

Published online:    2007-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    43

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