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Microflow Simulations via the Lattice Boltzmann Method

Published online by Cambridge University Press:  20 August 2015

Nikolaos Prasianakis  and
Santosh Ansumali
Nikolaos Prasianakis*
Affiliation:
Combustion Research, Paul Scherrer Institute, Villigen PSI 5232, Switzerland
Santosh Ansumali*
Affiliation:
Engineering Mechanics Unit, Jawaharlal Nehru Centre for Scientific Research, JNCASR, 560064 Bangalore, India
*
Corresponding author.Email:[email protected]
Email:[email protected]
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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.

Keywords

52B1065D1868U0568U07Microflowslattice Boltzmann method
Type
Research Article
Information
Communications in Computational Physics , Volume 9 , Issue 5 , May 2011 , pp. 1128 - 1136
Copyright
Copyright © Global Science Press Limited 2011

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