title: Pseudopotential lattice Boltzmann equation method for two-phase flow: A higher-order Chapmann-Enskog expansion.
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.
authors.affiliation: School of Economics Management and Law, Chaohu University, Chaohu 238000, People's Republic of China.
authors.forename: Qinglan
authors.initials: Q
authors.lastname: Zhai
authors.affiliation: MIIT 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.
authors.forename: Lin
authors.initials: L
authors.lastname: Zheng
authors.affiliation: School of Mathematics and Statistics, Zhejiang University of Finance and Economics, Hangzhou Zhejiang 310018, People's Republic of China.
authors.forename: Song
authors.initials: S
authors.lastname: Zheng