A mixed markers and volume-of-fluid method for the reconstruction and advection of interfaces in two-phase and free-boundary flows

Aulisa, Eugenio; Manservisi, Sandro; Scardovelli, Ruben

doi:10.1016/s0021-9991(03)00196-7

Cited by 123 publications

(133 citation statements)

References 35 publications

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“…[19,18] for details. Validation of these procedures using standard two dimensional test cases taken from [1,32] have been performed in [5]. Translation, rotation and stretching of a circular region of fluid are shown in Fig.…”

Section: Advection Step : Structured Grid Of Cubic Cellsmentioning

confidence: 99%

Numerical simulation of 3D viscoelastic flows with free surfaces

Bonito

Picasso

Laso

2006

Journal of Computational Physics

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Section: Advection Step : Structured Grid Of Cubic Cellsmentioning

confidence: 99%

Numerical simulation of 3D viscoelastic flows with free surfaces

Bonito

Picasso

Laso

2006

Journal of Computational Physics

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“…The Level Contour Reconstruction Method (LCRM) [4][5][6][7] which combines the advantage of the Front Tracking and Level Set method has been devised to overcome some drawbacks pertaining to each method. Similar efforts can also be found in various hybrid type methods including CLSVOF(Level Set+VOF) from Sussman and Puckett [8], particle Level Set (Level Set+Lagrangian marker particle) from Enright et al [9], and Aulisa et al [10] who combines markers and the VOF method.…”

Section: Introductionmentioning

confidence: 84%

Tetra-marching procedure for high order Level Contour Reconstruction Method

Yoon

Shin

2010

WIT Transactions on Engineering Sciences

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Direct numerical simulation of the multiphase flow on a fixed Eulerian grid became increasingly popular due to its simplicity and robustness. Lately, there have been efforts to construct hybrids from existing well-known methods including VOF, Level Set, and Front Tracking with the intention of overcoming the inherent drawbacks of each method. The Level Contour Reconstruction Method is one of the hybrid type methods, which combines the Front Tracking and Level Set characteristics. By introducing a high order interpolation kernel during interface reconstruction, we could reconstruct the interface very accurately and smoothly compared to linear interpolation of a given distance function field. The high order reconstruction procedure can be undertaken, generally, with the same rectangular shaped Eulerian grid structure as the flow computation. With this rectangular shaped grid, there can be more than two lines in a single cell during the reconstruction. In this paper, we introduce the tetramarching reconstruction procedure which can eliminate ambiguity of drawing contour lines between multiple edge points in a single cell during high order reconstruction. We tested several benchmarking simulations of interface evolution and found that high order reconstruction with a tetra-marching procedure enables the fidelity of the reconstructed interface, which is continuous and smooth even with a highly distorted interface.

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“…These are two extremes that will pose distinct challenges to further modelling. There have been many attempts to marry the strengths of two methods (or eliminating notable drawbacks) in hybrid methods, such as the work by Sussman & Puckett [61,59], Aulisa et al [5], Enright & Fedkiw [22], and Gaudlitz & Adams [24]. These methods add mathematical and practical complexity to already quite complicated methods.…”

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 mixed markers and volume-of-fluid method for the reconstruction and advection of interfaces in two-phase and free-boundary flows

Cited by 123 publications

References 35 publications

Numerical simulation of 3D viscoelastic flows with free surfaces

Numerical simulation of 3D viscoelastic flows with free surfaces

Tetra-marching procedure for high order Level Contour Reconstruction Method

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

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