Work

Fluctuating multicomponent lattice Boltzmann model

Year: 2015

Type: article

Abstract: Current implementations of fluctuating lattice Boltzmann equations (FLBEs) describe single component fluids. In this paper, a model based on the continuum kinetic Boltzmann equation for describing multicomponent fluids is extended to incorporate the effects of thermal fluctuations. The thus obtained fluctuating Boltzmann equation is first linearized to apply the theory of linear fluctuations, and expressions for the noise covariances are determined by invoking the fluctuation-dissipation theorem directly at the kinetic level. Crucial for our analysis is the projection of the Boltzmann equation onto the orthonormal Hermite basis. By integrating in space and time the fluctuating Boltzmann equation with a discrete number of velocities, the FLBE is obtained for both ideal and nonideal multicomponent fluids. Numerical simulations are specialized to the case where mean-field interactions are introduced on the lattice, indicating a proper thermalization of the system.

Source: Physical Review E

DOI: 10.1103/physreve.91.023313

Authors: D. Belardinelli, M. Sbragaglia, L. Biferale, M. Gross, F. Varnik

Institutions: University of Rome Tor Vergata, University of Stuttgart, Max Planck Society, Max Planck Institute for Intelligent Systems, Ruhr University Bochum

Language: English

Topic: Lattice Boltzmann Simulation Studies

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: green

Funders: European Commission, Seventh Framework Programme

Award: G297885364