Physical modeling of multiphase flow via lattice Boltzmann method: Numerical effects, equation of state and boundary conditions

doi:10.1007/s11467-012-0245-0

Frontiers of Physics

2012, Vol. 7

Issue (4): 481-490 https://doi.org/10.1007/s11467-012-0245-0

RESEARCH ARTICLE

本期目录

Physical modeling of multiphase flow via lattice Boltzmann method: Numerical effects, equation of state and boundary conditions

Yan-Biao Gan^1,2,3, Ai-Guo Xu²(

), Guang-Cai Zhang², Ying-Jun Li³(

)

1. North China Institute of Aerospace Engineering, Langfang 065000, China; 2. National Key Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics, P. O. Box 8009-26, Beijing 100088, China; 3. State Key Laboratory for GeoMechanics and Deep Underground Engineering, SMCE, China University of Mining and Technology (Beijing), Beijing 100083, China

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Abstract：

The aims of the present paper are threefold. First, we further study the fast Fourier transform thermal lattice Boltzmann (FFT–TLB) model for van der Waals (VDW) fluids proposed in Phys. Rev. E, 2011, 84(4): 046715. We analyze the merits of the FFT approach over the traditional finite difference scheme and investigate the effects of smoothing factors on accuracy and stability in detail. Second, we incorporate the VDW equation of state with flexible parameters into the FFT–TLB model. As a result, the revised model may be used to handle multiphase flows with various critical densities and temperatures. Third, we design appropriate boundary conditions for systems with solid walls. These improvements, from the views of numerics and physics, significantly extend the application scope of the model in science and engineering.

Key words： van der Waals fluids lattice Boltzmann method FFT equation of state

收稿日期: 2011-12-04 出版日期: 2012-08-01

Corresponding Author(s): Xu Ai-Guo,Email:Xu Aiguo@iapcm.ac.cn; Li Ying-Jun,Email:lyj@aphy.iphy.ac.cn

引用本文:

. Physical modeling of multiphase flow via lattice Boltzmann method: Numerical effects, equation of state and boundary conditions[J]. Frontiers of Physics, 2012, 7(4): 481-490.
Yan-Biao Gan, Ai-Guo Xu, Guang-Cai Zhang, Ying-Jun Li. Physical modeling of multiphase flow via lattice Boltzmann method: Numerical effects, equation of state and boundary conditions. Front. Phys. , 2012, 7(4): 481-490.

链接本文:

https://academic.hep.com.cn/fop/CN/10.1007/s11467-012-0245-0
https://academic.hep.com.cn/fop/CN/Y2012/V7/I4/481

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