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Cross Correlators and Galilean Invariance in Fluctuating Ideal Gas Lattice Boltzmann Simulations

Published online by Cambridge University Press:  20 August 2015

Goetz Kaehler  and
Alexander Wagner
Goetz Kaehler*
Affiliation:
Department of Physics, North Dakota State University, Fargo, ND 58108, USA
Alexander Wagner*
Affiliation:
Department of Physics, North Dakota State University, Fargo, ND 58108, USA
*
Corresponding author.Email:goetz.kaehler@ndsu.edu
Email:alexander.wagner@ndsu.edu
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Abstract

We analyze the Lattice Boltzmann method for the simulation of fluctuating hydrodynamics by Adhikari et al. [Europhys. Lett., 71 (2005), 473-479] and find that it shows excellent agreement with theory even for small wavelengths as long as a stationary system is considered. This is in contrast to other finite difference and older lattice Boltzmann implementations that show convergence only in the limit of large wavelengths. In particular cross correlators vanish to less than 0.5%. For larger mean velocities, however, Galilean invariance violations manifest themselves.

Keywords

47.11.-j47.11.Qr05.40.-aLattice BoltzmannfluctuationsGalilean invariance
Type
Research Article
Information
Communications in Computational Physics , Volume 9 , Issue 5 , May 2011 , pp. 1315 - 1322
Copyright
Copyright © Global Science Press Limited 2011

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