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. © 2006 Springer-Verlag Berlin Heidelberg.
CITATION STYLE
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
Mendeley helps you to discover research relevant for your work.