Lattice Boltzmann simulations of liquid-gas and binary fluid systems

1996/11/01 by Michael Swift, Enzo Orlandini, W. R. Osborn +1 · 1 voice · 1,433 citations
Engineering · Mathematics · #Binary number #Boltzmann equation #Boltzmann relation #Classical mechanics #Collision #Computer science #Convection #Direct simulation Monte Carlo #Fluid Dynamics and Turbulent Flows #HPP model #Lattice Boltzmann Simulation Studies #Lattice Boltzmann methods #Lattice gas automaton #Mathematics #Monte Carlo method #Nanofluid Flow and Heat Transfer #Physics #Quantum mechanics #Statistical physics #Thermodynamics #Universality (dynamical systems)

paper · doi:10.1103/physreve.54.5041

published in Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics 54(5), 5041-5052 (American Physical Society)

openalex publication_date 1996/11/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We present the details of a lattice Boltzmann approach to phase separation in nonideal one- and two-component fluids. The collision rules are chosen such that the equilibrium state corresponds to an input free energy and the bulk flow is governed by the continuity, Navier-Stokes, and, for the binary fluid, a convection-diffusion equation. Numerical results are compared to simple analytic predictions to confirm that the equilibrium state is indeed thermodynamically consistent and that the kinetics of the approach to equilibrium lie within the expected universality classes. The approach is compared to other lattice Boltzmann simulations of nonideal systems. \textcopyright 1996 The American Physical Society.

Citations

• Lattice BGK Models for Navier-Stokes Equation
• The nature of the liquid-vapour interface and other topics in the statistical mechanics of non-uniform, classical fluids
• Lattice Boltzmann model for simulating flows with multiple phases and components
• Free Energy of a Nonuniform System. I. Interfacial Free Energy

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• Force approach for the pseudopotential lattice Boltzmann method
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Discussions

• Problem Description Free-Energy Models for Multiphase Flows I am using Free-Energy models for multiphase flow simulations. Density varies continuously, even across phase interfaces, which are also con [stackexchange, 2 points]

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