Journal ArticleDOI
Lattice Boltzmann simulations of liquid-gas and binary fluid systems
TLDR
The details of a lattice Boltzmann approach to phase separation in nonideal one- and two-component fluids are presented and the kinetics of the approach to equilibrium lie within the expected universality classes.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.read more
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Journal ArticleDOI
Lattice boltzmann method for fluid flows
Shiyi Chen,Gary D. Doolen +1 more
TL;DR: An overview of the lattice Boltzmann method, a parallel and efficient algorithm for simulating single-phase and multiphase fluid flows and for incorporating additional physical complexities, is presented.
Journal ArticleDOI
Theory of the lattice boltzmann method: dispersion, dissipation, isotropy, galilean invariance, and stability
Pierre Lallemand,Li-Shi Luo +1 more
TL;DR: The generalized hydrodynamics (the wave vector dependence of the transport coefficients) of a generalized lattice Boltzmann equation (LBE) is studied in detail and linear analysis of the LBE evolution operator is equivalent to Chapman-Enskog analysis in the long-wavelength limit (wave vector k=0).
Journal ArticleDOI
Lattice-Boltzmann Method for Complex Flows
TL;DR: This work reviews many significant developments over the past decade of the lattice-Boltzmann method and discusses higherorder boundary conditions and the simulation of microchannel flow with finite Knudsen number.
BookDOI
Lattice-Gas Cellular Automata and Lattice Boltzmann Models
TL;DR: In this paper, the authors provide an introduction to lattice gas cellular automata (LGCA) and lattice Boltzmann models (LBM) for numerical solution of nonlinear partial differential equations.
Journal ArticleDOI
Equations of state in a lattice Boltzmann model
Peng Yuan,Laura Schaefer +1 more
TL;DR: In this article, the incorporation of various equations of state into the single-component multiphase lattice Boltzmann model is considered, including the van der Waals, Redlich-Kwong, and Peng-Robinson, as well as a noncubic equation of state (Carnahan-Starling), and the details of phase separation in these nonideal single component systems are presented.
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