Thermal fluctuations in the lattice Boltzmann method for nonideal fluids

M. Gross, R. Adhikari, M. E. Cates, F. Varnik

Research output: Contribution to journalArticlepeer-review

Abstract

We introduce thermal fluctuations in the lattice Boltzmann method for nonideal fluids. A fluctuation-dissipation theorem is derived within the Langevin framework and applied to a specific lattice Boltzmann model that approximates the linearized fluctuating Navier-Stokes equations for fluids based on square-gradient free-energy functionals. The obtained thermal noise is shown to ensure equilibration of all degrees of freedom in a simulation to high accuracy. Furthermore, we demonstrate that satisfactory results for most practical applications of fluctuating hydrodynamics can already be achieved using thermal noise derived in the long-wavelength limit.

Original languageEnglish
Article number056714
Pages (from-to)-
Number of pages14
JournalPhysical Review E - Statistical, Nonlinear and Soft Matter Physics
Volume82
Issue number5
DOIs
Publication statusPublished - 29 Nov 2010

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