Efficient Implementation of a Coupled Level-Set and Volume-of-Fluid Method for Three-Dimensional Incompressible Two-Phase Flows

Son, Gihun

doi:10.1080/713836317

Cited by 120 publications

(50 citation statements)

References 18 publications

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“…Subscripts g and l denote gas and liquid, respectively. It is worth noting that both the density and viscosity are weighted by the VOF function rather than the Heaviside function usually used in the LS-based methods [6][7][8][9]. The density and viscosity are only smeared in the interfacial cells.…”

Section: Governing Equations and Boundary Conditionsmentioning

confidence: 99%

“…The continuous methods have been widely used to handle the discontinuities of the physical effects in the numerical simulations of interfacial flows [1][2][3][4][5][6][7][8][9]. In these methods, the changes of physical properties, such as density, viscosity and surface tension, at the interface, are usually smoothed within a transition zone of several computational cells.…”

Section: Introductionmentioning

confidence: 99%

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

Wang

Tong

2009

Numerical Methods in Fluids

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SUMMARYA surface tension implementation algorithm for two-phase incompressible interfacial flows is presented in this study. The surface tension effect is treated as a jump condition at the interface and incorporated into the Navier-Stokes equation via a capillary pressure gradient. The interface is tracked by a coupled level set and volume-of-fluid (CLSVOF) method based on the finite-volume formulation on a fixed Eulerian grid. It has been shown in a stationary benchmark test the spurious currents are greatly reduced and the sharp pressure jump across the interface is well preserved. Numerical instabilities caused by the sharp treatment on a fixed grid are avoided. Several dynamic tests are performed to further validate the accuracy and versatility of the present method, the results of which are in good agreement with data reported in the literature.

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Section: Governing Equations and Boundary Conditionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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

Wang

Tong

2009

Numerical Methods in Fluids

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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

102

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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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“…When the LS functions are advected, the sharp edges are usually smoothed out and hence mass loss occurs, which is even worse when a coarse grid is used. This issue has been frequently addressed and many attempts have been made to remedy it, [4][5][6][7][8][9][10][11][12] among which some combined strategies are adopted. Examples are the coupled level set and volume-of-fluid method (CLSVOF) 4, 5 and the hybrid particle level set (PLS) method.…”

Section: Introductionmentioning

confidence: 99%

Comparison of Particle Level Set and CLSVOF Methods for Interfacial Flows

Wang

Yang

Stern

2008

46th AIAA Aerospace Sciences Meeting and Exhibit

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The level set method is susceptible to the numerical dissipation, which usually results in serious mass loss in the under-resolved regions at the interface. In this study, a hybrid particle level set method and a coupled level set and volume-of-fluid method, have been implemented with the aim at improving the mass conservation property of the level set method. A number of standard tests are conducted to evaluate their performances. The two methods are applied to simulate a water drop impact onto a liquid pool, and wave breakings over a submerged bump which is of particular relevance to ship hydrodynamics.

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Efficient Implementation of a Coupled Level-Set and Volume-of-Fluid Method for Three-Dimensional Incompressible Two-Phase Flows

Cited by 120 publications

References 18 publications

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

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

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

Comparison of Particle Level Set and CLSVOF Methods for Interfacial Flows

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