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

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

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

DOI: 10.1098/rsta.2011.0091

Download: BibTEX

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.

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{"type":"article", "name":"m.gross20116", "author":"M. Gross and R. Adhikari and M. Cates and F. Varnik", "title":"Modelling thermal fluctuations in nonideal fluids with the lattice Boltzmann method", "journal":"Philosophical Transactions of The Royal Society A", "volume":"13", "OPTnumber":"386", "OPTmonth":"6", "year":"2011", "OPTpages":"2274–2282", "OPTnote":"", "OPTkey":"lattice Boltzmann method; non-ideal fluids; thermal noise; fluctuation–dissipation theorem", "DOI":"10.1098/rsta.2011.0091"}
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