A mesh-dependent model for applying dynamic contact angles to VOF simulations

Afkhami, Shahriar; Zaleski, Stéphane; Bussmann, Markus

doi:10.1016/j.jcp.2009.04.027

Cited by 224 publications

(188 citation statements)

References 45 publications

(68 reference statements)

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“…The simulations reported by Afkhami et al [14] show that it ensures grid convergence in VoF simulations when coupled with a slip length based on the grid spacing k N ¼ D=2. The authors suggest that ''the true value of K could be determined by fitting numerical data to data obtained experimentally''.…”

Section: Numerical Modeling Of the Contact Anglementioning

confidence: 97%

“…Due to the staggered grid structure, U cl is located at the distance D=2 from the wall where the node of the tangential component of the velocity that transports the interface is located. We have first tested the model (called ''Dyn4'') proposed by Afkhami et al [14]. Based on 2D simulations and the expression developed by Cox [16], they proposed the following expression for the dynamic contact angle…”

Section: Numerical Modeling Of the Contact Anglementioning

confidence: 99%

“…For the time and grid convergence discussion as well as for the comparison between the models, we first consider the test case reported by Afkhami et al [14]. Note that the simulations reported by Afkhami et al [14] are performed for a semicircular droplet (2D simulation) while we consider here a 3D drop thanks to an axisymmetric simulation.…”

Section: Test Case Presentationmentioning

confidence: 99%

“…The stress at the contact line is clearly diverging when refining the grid size (see for example [14] where the evolution of the viscous stress at the wall is reported). Several authors [8,6,14] have dealt with the ''stress singularity'' paradox by introducing the Navier slip condition that gives a relation between the fluid velocity at the wall U W and a Navier slip length k N :…”

Section: Introductionmentioning

confidence: 99%

“…In recent developments, the dynamic or apparent contact angle is connected to the velocity of the contact line. The Cox [16] relation is directly applied [10,17] or adapted using an adjustable parameter that needs to be empirically determined from experiments [13,14]. As shown in this introduction, different strategies have been developed for the simulation of moving contact line.…”

Section: Introductionmentioning

confidence: 99%

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Comparison between numerical models for the simulation of moving contact lines

Legendre

Maglio

2015

Computers & Fluids

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OATAO is an open access repository that collects the work of Toulouse researchers and makes it freely available over the web where possible. a b s t r a c tThe aim of this study is to discus different numerically models for the simulation of moving contact lines in the context of a Volume of Fluid-Continuum Surface Force (VoF-CSF) method. We focus on the particular situation of spreading drops. We first present the numerical methods used for the simulation of moving contact line i.e. static contact angle versus dynamic contact angle, no slip condition versus slip condition. A grid and time convergence is performed for the different models. We show that the integration of the Continuum Surface Force using the finite volume method results in a grid dependence at the onset of the spreading. The static and dynamic models are compared to experiments. It is shown that the dynamic models based on the Cox's relation for the dynamic contact angle are able to reproduce experiments while static models overestimate the spreading time and are not able to reproduce the Tanner regime. The difference between static and dynamic models is shown to increase with the Ohnesorge number.

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Section: Numerical Modeling Of the Contact Anglementioning

confidence: 97%

Section: Numerical Modeling Of the Contact Anglementioning

confidence: 99%

Section: Test Case Presentationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Comparison between numerical models for the simulation of moving contact lines

Legendre

Maglio

2015

Computers & Fluids

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Challenges in modeling unstable two‐phase flow experiments in porous micromodels

Ferrari

Jiménez‐Martínez

Borgne

et al. 2015

Water Resources Research

140

114

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The simulation of unstable invasion patterns in porous media flow is very challenging because small perturbations are amplified, so that slight differences in geometry or initial conditions result in significantly different invasion structures at later times. We present a detailed comparison of pore-scale simulations and experiments for unstable primary drainage in porous micromodels. The porous media consist of HeleShaw cells containing cylindrical obstacles. By means of soft lithography, we have constructed two experimental flow cells, with different degrees of heterogeneity in the grain size distribution. As the defending (wetting) fluid is the most viscous, the interface is destabilized by viscous forces, which promote the formation of preferential flow paths in the form of a branched finger structure. We model the experiments by solving the NavierStokes equations for mass and momentum conservation in the discretized pore space and employ the Volume of Fluid (VOF) method to track the evolution of the interface. We test different numerical models (a 2-D vertical integrated model and a full-3-D model) and different initial conditions, studying their impact on the simulated spatial distributions of the fluid phases. To assess the ability of the numerical model to reproduce unstable displacement, we compare several statistical and deterministic indicators. We demonstrate the impact of three main sources of error: (i) the uncertainty on the pore space geometry, (ii) the fact that the initial phase configuration cannot be known with an arbitrarily small accuracy, and (iii) three-dimensional effects. Although the unstable nature of the flow regime leads to different invasion structures due to small discrepancies between the experimental setup and the numerical model, a pore-by-pore comparison shows an overall satisfactory match between simulations and experiments. Moreover, all statistical indicators used to characterize the invasion structures are in excellent agreement. This validates the modeling approach, which can be used to complement experimental observations with information about quantities that are difficult or impossible to measure, such as the pressure and velocity fields in the two fluid phases.

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Numerical investigation of oil droplet detachment from wall surface by a microbubble using ternary phase‐field model

Yuhara,

Shirzadi,

Fukasawa

et al. 2023

AIChE Journal

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In this study, we investigated the detachment of an oil droplet from a wall surface by microbubbles (MBs) using the numerical simulation of a gas–liquid–liquid three‐phase flow based on a phase‐field model. A single MB was collided with an oil droplet adhered to a wall surface to determine whether the droplet would detach from the wall. It was confirmed that the oil droplet detached from the wall when the interfacial tension between the water and oil or between the bubble and oil was low. To clarify the mechanism, we theoretically calculated the balance of interfacial tension at the three‐fluid contact line. The lower the interfacial tension between the water and oil and between the bubble and oil, the smaller the contact angle of the oil droplet on the bubble. This increased wettability was the driving force that caused the oil droplet to detach from the wall surface.

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A mesh-dependent model for applying dynamic contact angles to VOF simulations

Cited by 224 publications

References 45 publications

Comparison between numerical models for the simulation of moving contact lines

Comparison between numerical models for the simulation of moving contact lines

Challenges in modeling unstable two‐phase flow experiments in porous micromodels

Numerical investigation of oil droplet detachment from wall surface by a microbubble using ternary phase‐field model

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