A level-set continuum method for two-phase flows with insoluble surfactant

Xu, Jianjun; Yang, Yin; Lowengrub, John

doi:10.1016/j.jcp.2012.05.014

Cited by 59 publications

(42 citation statements)

References 47 publications

(53 reference statements)

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“…In the frame of VOF, approaches initially developed for insoluble surfactants [7,18,32,51] have been then extended to soluble surfactants and 3D flows [3]. In the frame of LS method, a possible approach has been proposed by Xu and Zhao [76] and then further improved to consider flow and contact line dynamics [74,75,78]. Recently, alternative approaches, which combine interface capturing/tracking methods or use different frameworks, have been developed.…”

Section: Introductionmentioning

confidence: 99%

Coalescence of surfactant-laden drops by Phase Field Method

Soligo

Roccon

Soldati

2019

Journal of Computational Physics

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In this work, we propose and test the validity of a modified Phase Field Method (PFM), which was specifically developed for large scale simulations of turbulent flows with large and deformable surfactant-laden droplets. The time evolution of the phase field, φ, and of the surfactant concentration field, ψ, are obtained from two Cahn-Hilliard-like equations together with a two-order-parameter Time-Dependent Ginzburg-Landau (TDGL) free energy functional. The modifications introduced circumvent existing limitations of current approaches based on PFM and improve the well-posedness of the model. The effect of surfactant on surface tension is modeled via an Equation Of State (EOS), further improving the flexibility of the approach. This method can efficiently handle topological changes, i.e. breakup and coalescence, and describe adsorption/desorption of surfactant. The capabilities of the proposed approach are tested in this paper against previous experimental results on the effects of surfactant on the deformation of a single droplet and on the interactions between two droplets. Finally, to appreciate the performances of the model on a large scale complex simulation, a qualitative analysis of the behavior of surfactant-laden droplets in a turbulent channel flow is presented and discussed.

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Section: Introductionmentioning

confidence: 99%

Coalescence of surfactant-laden drops by Phase Field Method

Soligo

Roccon

Soldati

2019

Journal of Computational Physics

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“…The loss of surfactant mass, less than 1%, is controlled by rescaling. More recently, Xu et al [62] propose a L-S approach also for the surfactant equation in two-and three-dimensional NavierStokes simulations of drops (some with variable material properties). In combination with their level-set flow solvers, Teigen et al [51] employ the ghost-fluid method and Teigen and Munkejord [52] a level-set approach for the surfactant equation, to study the effect of electric fields on two-dimensional interfacial flows.…”

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confidence: 99%

A 3D front-tracking approach for simulation of a two-phase fluid with insoluble surfactant

Jesus

Roma

Pivello

et al. 2015

Journal of Computational Physics

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“…Implicit interface tracking methods have been extended to include surfactants on the interface, such as the level-set method by Xu et al [69,70] and various VOF methods [52,28,19]. The main concern in such methods is conservation of surfactant; [69] is largely concerned with modifications that deal with this.…”

Section: Surfactantsmentioning

confidence: 99%

An explicit Eulerian method for multiphase flow with contact line dynamics and insoluble surfactant

2014

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The flow behavior of many multiphase flow applications is greatly influenced by wetting properties and the presence of surfactants. We present a numerical method for two-phase flow with insoluble surfactants and contact line dynamics in two dimensions. The method is based on decomposing the interface between two fluids into segments, which are explicitly represented on a local Eulerian grid. It provides a natural framework for treating the surfactant concentration equation, which is solved locally on each segment. An accurate numerical method for the coupled interface/surfactant system is given. The system is coupled to the Navier-Stokes equations through the Immersed Boundary Method, and we discuss the issue of force regularization in wetting problems, when the interface touches the boundary of the domain. We use the method to illustrate how the presence of surfactants influences the behavior of free and wetting drops.

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A level-set continuum method for two-phase flows with insoluble surfactant

Cited by 59 publications

References 47 publications

Coalescence of surfactant-laden drops by Phase Field Method

Coalescence of surfactant-laden drops by Phase Field Method

A 3D front-tracking approach for simulation of a two-phase fluid with insoluble surfactant

An explicit Eulerian method for multiphase flow with contact line dynamics and insoluble surfactant

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