Finite difference lattice Boltzmann model with flux limiters for liquid-vapor systems

Details Finite difference lattice Boltzmann model with flux limiters for liquid-vapor systems Finite difference lattice Boltzmann model with flux limiters for liquid-vapor systems

2004-07-21

arxiv.org/abs/cond-mat/0407554v1

Physics

Condensed Matter

Soft Condensed Matter

10 pages, 10 figures, to be published in Phys. Rev. E

Scientific paper

10.1103/PhysRevE.70.046702

In this paper we apply a finite difference lattice Boltzmann model to study the phase separation in a two-dimensional liquid-vapor system. Spurious numerical effects in macroscopic equations are discussed and an appropriate numerical scheme involving flux limiter techniques is proposed to minimize them and guarantee a better numerical stability at very low viscosity. The phase separation kinetics is investigated and we find evidence of two different growth regimes depending on the value of the fluid viscosity as well as on the liquid-vapor ratio.

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