Fluctuating lattice Boltzmann

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  • 24 February 2004
Abstract
We introduce a fluctuating lattice Boltzmann equation in which the noise satisfies a fluctuation-dissipation theorem directly at lattice level. This ensures proper thermalization of the so-called `ghost' modes which otherwise constantly drain thermal energy out of the system. Our approach produces correct thermal fluctuations for the mass density, momentum density, and stress, thus recovering the equations of (isothermal) fluctuating nonlinear hydrodynamics at large wavelengths and long times. Our method promises efficient, accurate simulation of fluctuating mesoscopic fluids.

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