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


Microflow Simulations via the Lattice Boltzmann Method

Nikolaos Prasianakis 1*, Santosh Ansumali 2

1 Combustion Research, Paul Scherrer Institute, Villigen PSI 5232, Switzerland.
2 Engineering Mechanics Unit, Jawaharlal Nehru Centre for Scientific Research, JNCASR, 560064 Bangalore, India.

Received 30 October 2009; Accepted (in revised version) 27 October 2010
Available online 14 January 2011
doi:10.4208/cicp.301009.271010s

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.

AMS subject classifications: 52B10, 65D18, 68U05, 68U07

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Key words: Microflows, lattice Boltzmann method.

*Corresponding author.
Email: nikolaos.prasianakis@psi.ch (N. I. Prasianakis), ansumali@gmail.com (S. Ansumali)
 

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