Volume 9, Issue 5
Microflow Simulations via the Lattice Boltzmann Method

Nikolaos Prasianakis & Santosh Ansumali

Commun. Comput. Phys., 9 (2011), pp. 1128-1136.

Published online: 2011-05

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  • Abstract

The exact solution to the hierarchy of nonlinear lattice Boltzmann kinetic equations, for the stationary planar Couette flow for any Knudsen number was presented by S. Ansumali et al. [Phys. Rev. Lett., 98 (2007), 124502]. In this paper, simulation results at a non-vanishing value of the Knudsen number are compared with the closed-form solutions for the higher-order moments. The order of convergence to the exact solution is also studied. The lattice Boltzmann simulations are in excellent agreement with the exact solution.

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