Lattice Boltzmann kinetic modeling and simulation of thermal liquid-vapor system
Abstract
We present a highly efficient lattice Boltzmann (LB) kinetic model for thermal liquid-vapor system. Three key components are as beow: (i) a discrete velocity model by Kataoka \emph{et al.} [Phys. Rev. E \textbf{69}, 035701(R)(2004)]; (ii) a forcing term aiming to describe the interfacial stress and recover the van der Waals equation of state by Gonnella \emph{et al.} [Phys. Rev. E \textbf{76}, 036703 (2007)]; and (iii) a Windowed Fast Fourier Transform (WFFT) scheme and its inverse by our group [Phys. Rev. E \textbf{84}, 046715 (2011)] for solving the spatial derivatives, together with a second-order Runge-Kutta (RK) finite difference scheme for solving the temporal derivative in the LB equation. The model is verified and validated by well-known benchmark tests. The results recovered from the present model are well consistent with previous ones[Phys. Rev. E \textbf{84}, 046715 (2011)] or theoretical analysis. The usage of less discrete velocities, high-order RK algorithm and WFFT scheme with 16th-order in precision makes the model more efficient by about times and more accurate than the original one.
Keywords
Cite
@article{arxiv.1403.3746,
title = {Lattice Boltzmann kinetic modeling and simulation of thermal liquid-vapor system},
author = {Yanbiao Gan and Aiguo Xu and Guangcai Zhang and Junqi Wang and Xijun Yu and Yang Yang},
journal= {arXiv preprint arXiv:1403.3746},
year = {2014}
}
Comments
Accepted for publication in Int. J. Mod. Phys. C