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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:nikolaos.prasianakis@psi.ch
Email:ansumali@gmail.com
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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

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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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