An efficient level set remedy approach for simulations of two-phase flow based on sigmoid function

Chai, Min; Luo, Kun; Shao, Changxiao; Fan, Jianren

doi:10.1016/j.ces.2017.06.009

Cited by 25 publications

(9 citation statements)

References 45 publications

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“…DNS of two-phase flow can be performed using the Volume-Of-Fluid (VOF) method, for which the interface between the two fluids is captured using an indicator function, which is a phase volume fraction (Hirt and Nichols, 1981). Although other methods such as level-set (Sussman et al, 1994;Chai et al, 2017;Gibou et al, 2018;Luo et al, 2019) can provide a more accurate description of the sharp interface, the VOF method is attractive due to its flexibility, robustness in terms of mass conservation, and adaptability to more complex physic. VOF methods can be geometric or algebraic, depending on how the computation of the interface curvature and the advection of the indicator function are performed.…”

Section: Introductionmentioning

confidence: 99%

A unified single-field Volume-of-Fluid-based formulation for multi-component interfacial transfer with local volume changes

Maes

Soulaine

2020

Journal of Computational Physics

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This paper presents a novel unified single-field formulation for Volume-Of-Fluid simulation of interfacial mass transfer with local volume changes. By comparison with the previous models referred as Continuous Species Transfer in the literature, our improved model uses a single-field formulation of the local mass transfer across the interface, enabling us to take into account local volume changes induced by non-dilute species transfer. The numerical model, implemented in our in-house OpenFOAM-based simulator, is validated by comparison with analytical solutions in 1D and 2D, and a semi-analytical solution in 3D. The implemented approach is first applied to investigate competing mass transfer in an infinite cylinder. We then simulate the shrinking of a single-component rising bubble at low Schmidt number. The numerical model is shown to be well adapted to investigate local Sherwood numbers and existing correlation for mass transfer at fluid interfaces.

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Section: Introductionmentioning

confidence: 99%

A unified single-field Volume-of-Fluid-based formulation for multi-component interfacial transfer with local volume changes

Maes

Soulaine

2020

Journal of Computational Physics

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“…In Chai et al the relationship between the LS and VOF functions was provided explicitly. In this work the LS function is obtained from the volume fraction F among the grids within interfaces (0 < F < 1):

ϕ = ϵ_{0} I n (\frac{F}{1 - F})

where

ϵ_{0} = 0.2 h

and h is the space grid size for a regular grid, i.e.,

Δ x = Δ y = h

.…”

Section: Gas‐liquid Two‐phase Modelmentioning

confidence: 99%

“…Since Equations and cannot conserve the liquid mass correctly, a mass correction formula is calculated for the interface cells according to their local interface curvatures:

\frac{\partial ϕ}{\partial τ} = κ true(F true(ϕ true) - F_{t} true)

where the liquid volume fraction

F true(ϕ true)

is calculated by the LS function:

F true(ϕ true) = \frac{1}{1 + \exp true(- ϕ / ϵ_{0} true)}

…”

Section: Gas‐liquid Two‐phase Modelmentioning

confidence: 99%

Macroscopic and mesoscopic simulation of viscoelastic free surface flow in gas‐assisted injection moulding process

Niu

Yuan

2019

Can J Chem Eng

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In this work, an improved simple coupled level-set and volume of fluid (S-CLSVOF) method is proposed to trace the moving interfaces in gas assisted injection moulding (GAIM) process based on the viscoelastic FENE-P model. Firstly, the Kreisselmeier-Steinhauser (KS) function constructed by means of Boolean operations is adopted as the shape level set (LS) function to precisely represent the complex mould cavities. Then, the benchmark problem of two-dimensional deformation is used to verify the ability of the S-CLSVOF method for capturing the moving interfaces. The stress birefringence is calculated and compared with the experiment result. Finally, the proposed method is further applied to the mould filling and gas penetration processes in GAIM. The macroscopic bubble appearance, temperature distribution, and the behaviour of the mesoscopic molecular orientation are shown and analyzed in detail. Due to the complexity of the gas-liquid interaction, the phenomenon of asymmetrical gas flow is clearly observed in the gas penetration process. The influences of the macroscopic parameters on the macroscopic gas flows and mesoscopic molecular orientation are also discussed, such as insert positions, melt temperatures, and gas delay time. The numerical results illustrate that the coupled method can be applied to the multiscale numerical simulation of viscoelastic flows with complex free surfaces and provide significant guidance for the GAIM process.

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“…Optical sensing and detection is considered as an effective method for two-phase flow measurement. For instance, medium-infrared difference frequency detection technology, integral cavity output spectroscopy technology, laser-radar technology and tunable diode laser absorption spectroscopy have been proposed for the measurement of airwater two-phase flow [7,8,13]. However, there are limited research on the measurement of the void fraction of twophase CO2 flow.…”

Section: Imentioning

confidence: 99%

Measurement of the void fraction of gas-liquid two-phase CO<inf>2</inf> flow using laser attenuation techniques

Duan

Wang

et al. 2018

2018 IEEE International Instrumentation and Measurement Technology Conference (I2MTC)

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An efficient level set remedy approach for simulations of two-phase flow based on sigmoid function

Cited by 25 publications

References 45 publications

A unified single-field Volume-of-Fluid-based formulation for multi-component interfacial transfer with local volume changes

A unified single-field Volume-of-Fluid-based formulation for multi-component interfacial transfer with local volume changes

Macroscopic and mesoscopic simulation of viscoelastic free surface flow in gas‐assisted injection moulding process

Measurement of the void fraction of gas-liquid two-phase CO<inf>2</inf> flow using laser attenuation techniques

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