scholarly journals On a two-dimensional single-velocity model for computations of two-phase flows of real water taking into account the surface tension effects

2016 ◽  
pp. 1-24 ◽  
Author(s):  
Nikolay Albertovich Zaitsev ◽  
Boris Viktorovich Kritskiy
Keyword(s):  
Surface Tension ◽  
Velocity Model ◽  
Two Dimensional ◽  
Two Phase Flows ◽  
Two Phase

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.

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 ◽  
...  
Keyword(s):  
Surface Tension ◽  
Comparative Study ◽  
Two Phase Flows ◽  
Two Phase ◽  
Interface Capturing

scholarly journals Accounting for local capillary effects in two-phase flows with relaxed surface tension formulation in enriched finite elements

2018 ◽  
Vol 346 (8) ◽  
pp. 617-633 ◽  
Author(s):  
Loïc Chevalier ◽  
Julien Bruchon ◽  
Nicolas Moulin ◽  
Pierre-Jacques Liotier ◽  
Sylvain Drapier
Keyword(s):  
Surface Tension ◽  
Finite Elements ◽  
Two Phase Flows ◽  
Two Phase ◽  
Capillary Effects ◽  
Enriched Finite Elements

scholarly journals A new approach to sub-grid surface tension for LES of two-phase flows

2012 ◽  
Vol 231 (21) ◽  
pp. 7368-7397 ◽  
Author(s):  
W. Aniszewski ◽  
A. Bogusławski ◽  
M. Marek ◽  
A. Tyliszczak
Keyword(s):  
Surface Tension ◽  
Two Phase Flows ◽  
Two Phase ◽  
New Approach ◽  
Grid Surface
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