An Alternative High-Density Ratio Pseudo-potential Lattice Boltzmann Model with Surface Tension Adjustment Capability

2019 ◽  
Vol 175 (1) ◽  
pp. 47-70 ◽  
Author(s):  
Soroush Fallah Kharmiani ◽  
Hamid Niazmand ◽  
Mohammad Passandideh-Fard
Keyword(s):  
Surface Tension ◽  
Lattice Boltzmann ◽  
Density Ratio ◽  
High Density ◽  
Lattice Boltzmann Model ◽  
High Density Ratio ◽  
Boltzmann Model ◽  
Pseudo Potential

scholarly journals Ternary Free-Energy Entropic Lattice Boltzmann Model with a High Density Ratio

2018 ◽  
Vol 120 (23) ◽  
Author(s):  
M. Wöhrwag ◽  
C. Semprebon ◽  
A. Mazloomi Moqaddam ◽  
I. Karlin ◽  
H. Kusumaatmaja
Keyword(s):  
Free Energy ◽  
Lattice Boltzmann ◽  
Density Ratio ◽  
High Density ◽  
Lattice Boltzmann Model ◽  
High Density Ratio ◽  
Boltzmann Model

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

2017 ◽  
Vol 28 (09) ◽  
pp. 1750120 ◽  
Author(s):  
Yong Peng ◽  
Yun Fei Mao ◽  
Bo Wang ◽  
Bo Xie
Keyword(s):  
Surface Tension ◽  
Lattice Boltzmann ◽  
Equations Of State ◽  
Density Ratio ◽  
Maximum Density ◽  
Lattice Boltzmann Model ◽  
Two Phase Flows ◽  
Two Phase ◽  
Spurious Currents ◽  
Pseudo Potential

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 [Formula: see text]. The P–R EOS can achieve larger maximum density ratio than C–S EOS under the same [Formula: see text]. Besides, no matter the C–S EOS or the P–R EOS, if [Formula: see text] 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.

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