A Coupled Level Set-Moment of Fluid Method for Incompressible Two-Phase Flows

Jemison, Matthew; Loch, Eva; Sussman, Mark; Shashkov, Mikhail; Arienti, Marco; Ohta, Mitsuhiro; Wang, Yaohong

doi:10.1007/s10915-012-9614-7

Cited by 80 publications

(97 citation statements)

References 33 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The numerical method, which is based on an approximate projection method (Jemison et al, 2013), is given in the following list of steps. The spatial discretization details for each step are explained in the ensuing sections.…”

Section: Overview Of the Methodsmentioning

confidence: 99%

“…The moment-of-fluid method (Dyadechko and Shashkov, 2005;Ahn and Shashkov, 2007;Dyadechko and Shashkov, 2008;Jemison et al, 2013) is used to represent material interfaces. For a computational cell Ω i,j , the volume fraction (zeroth order moment) and centroid (first order moment) are:…”

Section: Moment Of Fluid Interface Reconstructionmentioning

confidence: 99%

“…The interface is reconstructed and advected based on the volume fraction function information. The benefit of VOF methods is that there have been devised either directionally split advection algorithms Rudman (1998); Scardovelli and Zaleski (2003); Jemison et al (2013); Weymouth and Yue (2010) or unsplit advection algorithms (Liovic et al, 2006;Chenadec and Pitsch, 2013;Jemison et al, 2015) which have excellent volume preservation properties.…”

Section: Introductionmentioning

confidence: 99%

“…Recently, the moment of fluid (MOF) method (Dyadechko and Shashkov, 2005;Ahn and Shashkov, 2007;Dyadechko and Shashkov, 2008;Jemison et al, 2013Jemison et al, , 2014Jemison et al, , 2015 has been developed. In addition to the volume fraction function used in the VOF method, the MOF method considers the material centroid information in the interface reconstruction process and can be considered a generalization of the VOF method.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Incompressible multiphase flow and encapsulation simulations using the moment‐of‐fluid method

Lian

Guo

et al. 2015

Numerical Methods in Fluids

Self Cite

View full text Add to dashboard Cite

A moment of fluid method is presented for computing solutions to incompressible multiphase flows in which the number of materials can be greater than two. In this work, the multimaterial moment-of-fluid interface representation technique is applied to simulating surface tension effects at points where three materials meet. The advection terms are solved using a directionally split cell integrated semi-Lagrangian algorithm and the projection method is used to evaluate the pressure gradient force term. The underlying computational grid is a dynamic block structured adaptive grid. The new method is applied to multiphase problems illustrating contact line dynamics, triple junctions, and encapsulation in order to demonstrate its capabilities. Examples are given in 2D, 3D axisymmetric (R-Z), and 3D (X-Y-Z) coordinate systems.

show abstract

Section: Overview Of the Methodsmentioning

confidence: 99%

Section: Moment Of Fluid Interface Reconstructionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Incompressible multiphase flow and encapsulation simulations using the moment‐of‐fluid method

Lian

Guo

et al. 2015

Numerical Methods in Fluids

Self Cite

View full text Add to dashboard Cite

show abstract

“…The sharp interface models have been very successful in explaining many physically interesting phenomena [2,3,29,30,31,32,33]. However, there are several known drawbacks associated with this sharp interface approach.…”

Section: Introductionmentioning

confidence: 99%

Two‐phase flows in karstic geometry

Han

Sun

Wang

2013

Math Methods in App Sciences

View full text Add to dashboard Cite

Multiphase flow phenomena are ubiquitous. Common examples include coupled atmosphere and ocean system (air and water), oil reservoir (water, oil and gas), cloud and fog (water vapor, water and air). Multiphase flows also play an important role in many engineering and environmental science applications.In some applications such as flows in unconfined karst aquifers, karst oil reservoir, proton membrane exchange fuel cell, multiphase flows in conduits and in porous media must be considered together. Geometric configurations that contain both conduit (or vug) and porous media are termed karstic geometry. Despite the importance of the subject, little work has been done on multi-phase flows in karstic geometry.In this paper we present a family of phase field (diffusive interface) models for two phase flow in karstic geometry. These models together with the associated interface boundary conditions are derived utilizing Onsager's extremum principle. The models derived enjoy physically important energy laws. Uniquely solvable first and second order in time numerical schemes that preserve the associated energy law are presented as well.

show abstract

Enablers for high‐order level set methods in fluid mechanics

Luddens

Bergmann

Weynans

2015

Numerical Methods in Fluids

View full text Add to dashboard Cite

Summary In the context of numerical simulations of multiphysics flows, accurate tracking of an interface and consistent computation of its geometric properties are crucial. In this paper, we investigate a level set technique that satisfies these requirements and ensures local third‐order accuracy on the level set function (near the interface) and first‐order accuracy on the curvature, even for long‐time computations. The method is developed in a finite differences framework on Cartesian grids. As in usual level set strategies, reinitialization steps are involved. Several reinitialization algorithms are reviewed and mixed to design an accurate and fast reinitialization procedure. When coupled with a time evolution of the interface, the reinitialization procedure is performed only when there are too large deformations of the isocontours. This strategy limits the number of reinitialization steps and shows a good balance between accuracy and computational cost. Numerical results compare well with usual level set strategies and confirm the necessity of the reinitialization procedure, together with a limited number of reinitialization steps. Copyright © 2015 John Wiley & Sons, Ltd.

show abstract

A Coupled Level Set-Moment of Fluid Method for Incompressible Two-Phase Flows

Cited by 80 publications

References 33 publications

Incompressible multiphase flow and encapsulation simulations using the moment‐of‐fluid method

Incompressible multiphase flow and encapsulation simulations using the moment‐of‐fluid method

Two‐phase flows in karstic geometry

Enablers for high‐order level set methods in fluid mechanics

Contact Info

Product

Resources

About