Comparative study of mass-conserving interface capturing frameworks for two-phase flows with surface tension

2014 ◽  
Vol 61 ◽  
pp. 37-47 ◽  
Author(s):  
Fabian Denner ◽  
Duncan R. van der Heul ◽  
Guido T. Oud ◽  
Millena M. Villar ◽  
Aristeu da Silveira Neto ◽  
...  
2017 ◽  
Vol 28 (09) ◽  
pp. 1750120 ◽  
Author(s):  
Yong Peng ◽  
Yun Fei Mao ◽  
Bo Wang ◽  
Bo Xie

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.


2015 ◽  
Vol 10 (1) ◽  
pp. JFST0008-JFST0008
Author(s):  
Takuya YOSHIMOTO ◽  
Junichi OOIDA

2018 ◽  
Vol 346 (8) ◽  
pp. 617-633 ◽  
Author(s):  
Loïc Chevalier ◽  
Julien Bruchon ◽  
Nicolas Moulin ◽  
Pierre-Jacques Liotier ◽  
Sylvain Drapier

2012 ◽  
Vol 231 (21) ◽  
pp. 7368-7397 ◽  
Author(s):  
W. Aniszewski ◽  
A. Bogusławski ◽  
M. Marek ◽  
A. Tyliszczak

2006 ◽  
Vol 49 (3-4) ◽  
pp. 740-754 ◽  
Author(s):  
D. Gerlach ◽  
G. Tomar ◽  
G. Biswas ◽  
F. Durst

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