Finite-Difference Lattice Boltzmann Methods for binary fluids
Abstract
We investigate two-fluid BGK kinetic methods for binary fluids. The developed theory works for asymmetric as well as symmetric systems. For symmetric systems it recovers Sirovich's theory and is summarized in models A and B. For asymmetric systems it contributes models C, D and E which are especially useful when the total masses and/or local temperatures of the two components are greatly different. The kinetic models are discretized based on an octagonal discrete velocity model. The discrete-velocity kinetic models and the continuous ones are required to describe the same hydrodynamic equations. The combination of a discrete-velocity kinetic model and an appropriate finite-difference scheme composes a finite-difference lattice Boltzmann method. The validity of the formulated methods is verified by investigating (i) uniform relaxation processes, (ii) isothermal Couette flow, and (iii) diffusion behavior.
Cite
@article{arxiv.cond-mat/0406012,
title = {Finite-Difference Lattice Boltzmann Methods for binary fluids},
author = {Aiguo Xu},
journal= {arXiv preprint arXiv:cond-mat/0406012},
year = {2009}
}
Comments
RevTex, 3 figures. Phys. Rev. E (2005, in press)