Hydrodynamics beyond Navier-Stokes: Exact solution to the lattice Boltzmann hierarchy
Statistical Mechanics
2007-05-23 v1 Computational Physics
Fluid Dynamics
Abstract
Exact solution to the hierarchy of nonlinear lattice Boltzmann (LB) kinetic equations in the stationary planar Couette flow is found at non-vanishing Knudsen numbers. A new method of solving LB kinetic equations which combines the method of moments with boundary conditions for populations enables to derive closed-form solutions for all higher-order moments. Convergence of results suggests that the LB hierarchy with larger velocity sets is the novel way to approximate kinetic theory.
Keywords
Cite
@article{arxiv.cond-mat/0703440,
title = {Hydrodynamics beyond Navier-Stokes: Exact solution to the lattice Boltzmann hierarchy},
author = {S. Ansumali and I. V. Karlin and S. Arcidiacono and A. Abbas and N. I. Prasianakis},
journal= {arXiv preprint arXiv:cond-mat/0703440},
year = {2007}
}
Comments
12 pages, 4 figures, to appear in PRL. Published version is shortened to meet the page limit