Renormalization of the Lattice Boltzmann Hierarchy
Statistical Mechanics
2007-08-29 v1 Computational Physics
Fluid Dynamics
Abstract
Is it possible to solve Boltzmann-type kinetic equations using only a small number of particles velocities? We introduce a novel techniques of solving kinetic equations with (arbitrarily) large number of particle velocities using only a lattice Boltzmann method on standard, low-symmetry lattices. The renormalized kinetic equation is validated with the exact solution of the planar Couette flow at moderate Knudsen numbers.
Keywords
Cite
@article{arxiv.cond-mat/0703437,
title = {Renormalization of the Lattice Boltzmann Hierarchy},
author = {I. V. Karlin and S. Ansumali},
journal= {arXiv preprint arXiv:cond-mat/0703437},
year = {2007}
}
Comments
4 pages, 1 figure