Lattice boltzmann method and kinetic theory

S. Ansumali, S. S. Chikatamarla, C. E. Frouzakis, I. V. Karlin, I. G. Kevrekidis

Research output: Chapter in Book/Report/Conference proceedingChapter

2 Scopus citations

Abstract

One of the classical questions of non-equilibrium thermodynamics is the validity of various closure approximations in nontrivial flows. We study this question for a lid-driven cavity flow using a minimal molecular model derived from the Boltzmann equation. In this nontrivial flow, we quantify the model as a superset of the Grad moment approximation and visualize the quality of the Chapman-Enskog and Grad closure approximations. It is found that the Grad closure approximation is strikingly more robust than the Chapman-Enskog approximation at all Knudsen numbers studied. Grad's approximation is used to formulate a novel outflow boundary condition for lattice Boltzmann simulations.

Original languageEnglish (US)
Title of host publicationModel Reduction and Coarse-Graining Approaches for Multiscale Phenomena
PublisherSpringer Berlin Heidelberg
Pages403-422
Number of pages20
ISBN (Print)3540358854, 9783540358855
DOIs
StatePublished - Dec 1 2006

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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    Ansumali, S., Chikatamarla, S. S., Frouzakis, C. E., Karlin, I. V., & Kevrekidis, I. G. (2006). Lattice boltzmann method and kinetic theory. In Model Reduction and Coarse-Graining Approaches for Multiscale Phenomena (pp. 403-422). Springer Berlin Heidelberg. https://doi.org/10.1007/3-540-35888-9_18