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Fluctuating lattice Boltzmann

Research output: Contribution to journalArticle

Original languageEnglish
Pages (from-to)473-479
Number of pages7
JournalEurophysics Letters
Volume71
Issue number3
DOIs
Publication statusPublished - Aug 2005

Abstract

The lattice Boltzmann algorithm efficiently simulates the Navier-Stokes equation of isothermal fluid flow, but ignores thermal fluctuations of the fluid, important in mesoscopic flows. We show how to adapt the algorithm to include noise, satisfying a fluctuation-dissipation theorem (FDT) directly at lattice level: this gives correct fluctuations for mass and momentum densities, and for stresses, at all wave vectors k. Unlike previous work, which recovers FDT only as k --> 0, our algorithm offers full statistical mechanical consistency in mesoscale simulations of, e.g., fluctuating colloidal hydrodynamics.

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