A sharp surface tension modeling method for two‐phase incompressible interfacial flows

Wang, Zhaoyuan; Tong, Albert Y.

doi:10.1002/fld.2166

Cited by 35 publications

(20 citation statements)

References 34 publications

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“…A hybrid approach was introduced by Williams [10], using the first derivative of a convolution kernel to evaluate the interface normals and a finite-difference method to calculate the curvature from the interface normals. Recent efforts to find more accurate ways to determine the interface curvature have mainly focused on VOF methods with height functions (HF) [6,9,[12][13][14][15] and coupled VOF-LS methods [16][17][18][19][20].…”

Section: Nomenclaturẽmentioning

confidence: 99%

Fully-Coupled Balanced-Force VOF Framework for Arbitrary Meshes with Least-Squares Curvature Evaluation from Volume Fractions

Denner

Wachem

2014

Numerical Heat Transfer, Part B: Fundamentals

103

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A fully-coupled balanced-force numerical framework for two-phase flows with surface tension on arbitrary collocated meshes is presented, including a novel method to evaluate the curvature from volume fractions. The presented framework reduces the imbalances at the interface to solver tolerance and provides stable and reliable results for density ratios of 10 6 and larger. The new method to evaluate the curvature is based on a least-squares fit, providing better or equal accuracy compared to implementations found in the literature, which are generally limited to structured meshes, and the accuracy on Cartesian and tetrahedral meshes is shown to be comparable.

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Section: Nomenclaturẽmentioning

confidence: 99%

Fully-Coupled Balanced-Force VOF Framework for Arbitrary Meshes with Least-Squares Curvature Evaluation from Volume Fractions

Denner

Wachem

2014

Numerical Heat Transfer, Part B: Fundamentals

103

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“…For the determination of

\overset{n}{true}

, there are three groups of methods: gradient based, least squares, and MOF . The most widely used one is the gradient‐based method, which could be the gradient of the volume fraction itself or the auxiliary level‐set function (referred to as the couple level‐set and volume‐of‐fluid method) . The sharp change of volume fraction across the interface inside an interface cell makes it difficult to calculate the gradient of VOF function F accurately.…”

Section: Numerical Tests and Simulation Resultsmentioning

confidence: 99%

An analytical interface reconstruction algorithm in the PLIC‐VOF method for 2D polygonal unstructured meshes

Dai

Tong

2018

Numerical Methods in Fluids

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Summary Piecewise linear interface calculation (PLIC) schemes have been extensively employed in the volume‐of‐fluid (VOF) method for interface capturing in numerical simulations of multiphase flows. Polygonal unstructured meshes are often adopted because of their geometric flexibility and superiority in gradient calculation. An analytical interface reconstruction algorithm in the PLIC‐VOF method for arbitrary convex polygonal cells has been proposed in this study. The line interface at a given orientation within a polygonal cell is located by an analytical technique. It has been tested successfully for four different geometric shapes that are common in polygonal meshes. The computational efficiency of the present algorithm has been compared with several published schemes in the literature. The proposed algorithm has been shown to yield higher accuracy with reduction in computational complexity. A numerical simulation of a dam‐breaking problem has been performed using the proposed analytical PLIC technique on polygonal meshes. The results are in good agreement with experimental data available in the literature, which serves as a demonstration of its performance in a real multiphase flow.

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“…Popinet and Zaleski (1999), , Aulisa et al (2006), Harvie et al (2006b) and (for a historical perspective) Fuster et al (2009). Tong and Wang (2007) proposed a so-called pressure boundary method which utilizes a capillary pressure gradient term in the Navier-Stokes to account for surface tension, see also Wang and Tong (2010). Shirani et al (2005) multiplied the surface tension force as given by the CSF and CSS models by a factor that represents the fraction of area of a cell face in contact with the heavier fluid.…”

Section: Models For Surface Tensionmentioning

confidence: 99%

Numerical modeling of multiphase flows in microfluidics and micro process engineering: a review of methods and applications

Wörner

2012

Microfluid Nanofluid

372

197

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This article presents a comprehensive review of numerical methods and models for interface resolving simulations of multiphase flows in microfluidics and micro process engineering. The focus of the paper is on continuum methods where it covers the three common approaches in the sharp interface limit, namely the volumeof-fluid method with interface reconstruction, the level set method and the front tracking method, as well as methods with finite interface thickness such as color-function based methods and the phase-field method. Variants of the mesoscopic lattice Boltzmann method for two-fluid flows are also discussed, as well as various hybrid approaches. The mathematical foundation of each method is given and its specific advantages and limitations are highlighted. For continuum methods, the coupling of the interface evolution equation with the single-field Navier-Stokes equations and related issues are discussed. Methods and models for surface tension forces, contact lines, heat and mass transfer and phase change are presented. In the second part of this article applications of the methods in microfluidics and micro process engineering are reviewed, including flow hydrodynamics (separated and segmented flow, bubble and drop formation, breakup and coalescence), heat and mass transfer (with and without chemical reactions), mixing and dispersion, Marangoni flows and surfactants, and boiling.

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A sharp surface tension modeling method for two‐phase incompressible interfacial flows

Cited by 35 publications

References 34 publications

Fully-Coupled Balanced-Force VOF Framework for Arbitrary Meshes with Least-Squares Curvature Evaluation from Volume Fractions

Fully-Coupled Balanced-Force VOF Framework for Arbitrary Meshes with Least-Squares Curvature Evaluation from Volume Fractions

An analytical interface reconstruction algorithm in the PLIC‐VOF method for 2D polygonal unstructured meshes

Numerical modeling of multiphase flows in microfluidics and micro process engineering: a review of methods and applications

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