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Volume 9, Issue 5
Cross Correlators and Galilean Invariance in Fluctuating Ideal Gas Lattice Boltzmann Simulations

Goetz Kaehler & Alexander Wagner

DOI: 10.4208/cicp.151109.161110s

Commun. Comput. Phys., 9 (2011), pp. 1315-1322.

Published online: 2011-05

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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.

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@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 = {

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.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.151109.161110s}, url = {http://global-sci.org/intro/article_detail/cicp/7553.html} }
TY - JOUR T1 - Cross Correlators and Galilean Invariance in Fluctuating Ideal Gas Lattice Boltzmann Simulations AU - Goetz Kaehler & Alexander Wagner JO - Communications in Computational Physics VL - 5 SP - 1315 EP - 1322 PY - 2011 DA - 2011/05 SN - 9 DO - http://doi.org/10.4208/cicp.151109.161110s UR - https://global-sci.org/intro/article_detail/cicp/7553.html KW - AB -

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.

Goetz Kaehler and Alexander Wagner. (2011). Cross Correlators and Galilean Invariance in Fluctuating Ideal Gas Lattice Boltzmann Simulations. Communications in Computational Physics. 9 (5). 1315-1322. doi:10.4208/cicp.151109.161110s
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