@Article{CiCP-9-1315,
author = {Goetz Kaehler and Alexander Wagner},
title = {Cross Correlators and Galilean Invariance in Fluctuating Ideal Gas Lattice Boltzmann Simulations},
journal = {Communications in Computational Physics},
year = {2011},
volume = {9},
number = {5},
pages = {1315--1322},
abstract = {<p style="text-align: justify;">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.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.151109.161110s},
url = {http://global-sci.org/intro/article_detail/cicp/7553.html}
}