Lattice gas with a liquid-gas transition

Appert, C.; Zaleski, Stéphane

doi:10.1103/physrevlett.64.1

Cited by 117 publications

(53 citation statements)

References 8 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…As the system segregates, the peak moves to smaller values of Ikl, and S(k, t) narrows while increasing in amplitude. (~') Although information concerning anisotropy is lost in the integration, it is useful to average the structure function S(k, t) over shells of radius k. In a wide variety of phase-segregating systems this circularly averaged structure function has been observed to follow a scaling relation at late times: (7) where kma x is the wavevector k at which S(k, t) has its maximum at time …”

Section: Kineticsmentioning

confidence: 99%

Phase transitions in a probabilistic cellular automaton: Growth kinetics and critical properties

et al. 1992

View full text Add to dashboard Cite

We investigate a discrete-time kinetic model without detailed balance which simulates the phase segregation of a quenched binary alloy. The model is a variation on the Rothman-Keller cellular automaton in which particles of type A (B) move toward domains of greater concentration of A (B). Modifications include a fully occupied lattice and the introduction of a temperature-like parameter which endows the system with a stochastic evolution. Using computer simulations, we examine domain growth kinetics in the two-dimensional model. For long times after a quench from disorder, we find that the average domain size R(t) ~ l 1/3, in agreement with the prediction of Lifshitz-SlyozovWagner theory. Using a variety of methods, we analyze the critical properties of the associated second-order transition. Our analysis indicates that this model does not fall within either the Ising or mean-field classes.

show abstract

Section: Kineticsmentioning

confidence: 99%

Phase transitions in a probabilistic cellular automaton: Growth kinetics and critical properties

et al. 1992

View full text Add to dashboard Cite

show abstract

“…Simulations of liquid-vapor flows have been carried out with lattice-gas models [49,50], also in porous media [51,52], and more recently with lattice-Boltzmann methods [53][54][55][56], and with smoothed particle hydrodynamics [57]. As the continuum thermomechanical theory of a van der Waals fluid, the Navier-Stokes-Korteweg (NSK) equations [58] represent perhaps the earliest of diffuse-interface models, describing the dynamics of a single-component two-phase system.…”

Section: Introductionmentioning

confidence: 99%

Pore-scale modeling of phase change in porous media

Cueto‐Felgueroso

Juanes

2018

Phys. Rev. Fluids

View full text Add to dashboard Cite

The combination of high-resolution visualization techniques and pore-scale flow modeling is a powerful tool used to understand multiphase flow mechanisms in porous media and their impact on reservoir-scale processes. One of the main open challenges in pore-scale modeling is the direct simulation of flows involving multicomponent mixtures with complex phase behavior. Reservoir fluid mixtures are often described through cubic equations of state, which makes diffuse-interface, or phase-field, theories particularly appealing as a modeling framework. What is still unclear is whether equation-of-state-driven diffuse-interface models can adequately describe processes where surface tension and wetting phenomena play important roles. Here we present a diffuse-interface model of single-component two-phase flow (a van der Waals fluid) in a porous medium under different wetting conditions. We propose a simplified Darcy-Korteweg model that is appropriate to describe flow in a Hele-Shaw cell or a micromodel, with a gap-averaged velocity. We study the ability of the diffuse-interface model to capture capillary pressure and the dynamics of vaporization-condensation fronts and show that the model reproduces pressure fluctuations that emerge from abrupt interface displacements (Haines jumps) and from the breakup of wetting films.

show abstract

“…In addition, these models have other problems such as the anisotropy of the surface tension (14,12) and difficulties in dealing with components with different densities. Appert et al (15) suggested another LGA model to simulate a liquid-gas type of phase transition. Attractive or repulsive forces exist between particles that are several lattice units apart.…”

Section: Introductionmentioning

confidence: 99%

Multicomponent lattice-Boltzmann model with interparticle interaction

1995

View full text Add to dashboard Cite

A previously proposed [X. H. Chen, Phys. Rev. E 47, 1815, (1993) ] latticeBoltzmann model for simulating fluids with multiple components and interparticle forces is described in detail. Macroscopic equations governing the motion of each component are derived by using Chapman-Enskog method. The mutual diffusivity in a binary mixture is calculated analytically and confirmed by numerical simulation. The diffusivity is generally a function of the concentrations of the two components but independent of the fluid velocity so that the diffusion is Galilean invariant. The analytically calculated shear kinematic viscosity of this model is also confirmed numerically.

show abstract

Lattice gas with a liquid-gas transition

Cited by 117 publications

References 8 publications

Phase transitions in a probabilistic cellular automaton: Growth kinetics and critical properties

Phase transitions in a probabilistic cellular automaton: Growth kinetics and critical properties

Pore-scale modeling of phase change in porous media

Multicomponent lattice-Boltzmann model with interparticle interaction

Contact Info

Product

Resources

About