Journal
PHYSICAL REVIEW E
Volume 82, Issue 5, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.82.056714
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Funding
- HPC-Europa2 Project [228398]
- Royal Society
- EPSRC [EP/E030173]
- Deutsche Forschungsgemeinschaft (DFG) [Va205/3-3, SPP1164]
- ICAMS
- state of North-Rhine Westphalia
- European Commission
- EPSRC [EP/E030173/1] Funding Source: UKRI
- Engineering and Physical Sciences Research Council [EP/E030173/1] Funding Source: researchfish
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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.
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