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

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

Philosophical Transactions of The Royal Society A, 13, 2274–2282, (2011)


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.

Keyword(s): lattice Boltzmann method; non-ideal fluids; thermal noise; fluctuation–dissipation theorem
DOI: 10.1098/rsta.2011.0091
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