Eliminating spurious currents in phase-field-theory-based lattice Boltzmann equation for two-phase flows

2021 ◽  
Vol 33 (9) ◽  
pp. 092102
Author(s):  
Lin Zheng ◽  
Song Zheng ◽  
Qinglan Zhai
Keyword(s):  
Field Theory ◽  
Boltzmann Equation ◽  
Phase Field ◽  
Lattice Boltzmann ◽  
Lattice Boltzmann Equation ◽  
Two Phase Flows ◽  
Two Phase ◽  
Spurious Currents

scholarly journals Chequerboard effects on spurious currents in the lattice Boltzmann equation for two-phase flows

2011 ◽  
Vol 369 (1944) ◽  
pp. 2283-2291 ◽  
Author(s):  
Zhaoli Guo ◽  
Baochang Shi ◽  
Chuguang Zheng
Keyword(s):  
Boltzmann Equation ◽  
Kinetic Theory ◽  
Lattice Boltzmann ◽  
Lattice Boltzmann Equation ◽  
Two Phase Flows ◽  
Two Phase ◽  
Significant Dependence ◽  
Phase Systems ◽  
Spurious Currents ◽  
Undesirable Feature

Spurious currents near an interface between different phases are a common undesirable feature of the lattice Boltzmann equation (LBE) method for two-phase systems. In this paper, we show that the spurious currents of a kinetic theory-based LBE have a significant dependence on the parity of the grid number of the underlying lattice, which can be attributed to the chequerboard effect. A technique that uses a Lax–Wendroff streaming is proposed to overcome this anomaly, and its performance is verified numerically.

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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