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Progress in the understanding of the fluctuating lattice Boltzmann equation

Duenweg, B; Schiller, UD; Ladd, AJC; (2009) Progress in the understanding of the fluctuating lattice Boltzmann equation. Computer Physics Communications , 180 (4) pp. 605-608. 10.1016/j.cpc.2009.01.014. Green open access

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Abstract

We give a brief account of the development of methods to include thermal fluctuations into lattice Boltzmann algorithms. Emphasis is put on our recent work [B. Dünweg, U.D. Schiller, A.J.C. Ladd, Phys. Rev. E 76 (2007) 036704] which provides a clear understanding in terms of statistical mechanics.

Type: Article
Title: Progress in the understanding of the fluctuating lattice Boltzmann equation
Open access status: An open access version is available from UCL Discovery
DOI: 10.1016/j.cpc.2009.01.014
Publisher version: http://dx.doi.org/10.1016/j.cpc.2009.01.014
Language: English
Additional information: © 2009 Elsevier B.V. This manuscript is made available under a Creative Commons Attribution Non-commercial Non-derivative 4.0 International license (CC BY-NC-ND 4.0). This license allows you to share, copy, distribute and transmit the work for personal and non-commercial use providing author and publisher attribution is clearly stated. Further details about CC BY licenses are available at http://creativecommons.org/ licenses/by/4.0. Access may be initially restricted by the publisher.
Keywords: Lattice Boltzmann, Thermal fluctuations, Langevin equation, Monte Carlo, Detailed balance
UCL classification: UCL
UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
URI: https://discovery.ucl.ac.uk/id/eprint/1460214
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