Study on C–S and P–R EOS in pseudo-potential lattice Boltzmann model for two-phase flows

Yong Peng (), Yun Fei Mao (), Bo Wang and Bo Xie ()
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Yong Peng: State Key Laboratory of Hydraulics and Mountain River Engineering, Sichuan University, Chengdu 610065, P. R. China
Yun Fei Mao: State Key Laboratory of Hydraulics and Mountain River Engineering, Sichuan University, Chengdu 610065, P. R. China
Bo Wang: State Key Laboratory of Hydraulics and Mountain River Engineering, Sichuan University, Chengdu 610065, P. R. China
Bo Xie: #x2020;Sichuan Electric Power Industry Commissioning & Testing Institute, Chengdu, Sichuan 610011, P. R. China

International Journal of Modern Physics C (IJMPC), 2017, vol. 28, issue 09, 1-11

Abstract: Equations of State (EOS) is crucial in simulating multiphase flows by the pseudo-potential lattice Boltzmann method (LBM). In the present study, the Peng and Robinson (P–R) and Carnahan and Starling (C–S) EOS in the pseudo-potential LBM with Exact Difference Method (EDM) scheme for two-phase flows have been compared. Both of P–R and C–S EOS have been used to study the two-phase separation, surface tension, the maximum two-phase density ratio and spurious currents. The study shows that both of P–R and C–S EOS agree with the analytical solutions although P–R EOS may perform better. The prediction of liquid phase by P–R EOS is more accurate than that of air phase and the contrary is true for C–S EOS. Predictions by both of EOS conform with the Laplace’s law. Besides, adjustment of surface tension is achieved by adjusting T. The P–R EOS can achieve larger maximum density ratio than C–S EOS under the same τ. Besides, no matter the C–S EOS or the P–R EOS, if τ tends to 0.5, the computation is prone to numerical instability. The maximum spurious current for P–R is larger than that of C–S. The multiple-relaxation-time LBM still can improve obviously the numerical stability and can achieve larger maximum density ratio.

Keywords: Lattice Boltzmann model; pseudo-potential two-phase flows; equations of state; two-phase density ratio; spurious currents (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1142/S0129183117501200

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