Modelling thermal fluctuations in non-ideal fluids with the lattice Boltzmann method

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

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Recently, we proposed a theoretical framework to include thermal fluctuations into the Lattice Boltzmann (LB) method for non-ideal fluids. Here, we apply a variant thereof to a certain class of force-based non-ideal fluid LB models. We find that ideal-gas-like noise is an exact result of the fluctuation-dissipation theorem in the hydrodynamic regime. It is shown that satisfactory equilibration of the density and fluid momentum can be obtained in a simulation over a wide range of length scales.

Original languageEnglish
Pages (from-to)2274-2282
Number of pages9
JournalPhilosophical Transactions A: Mathematical, Physical and Engineering Sciences
Issue number1944
Publication statusPublished - 13 Jun 2011

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