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Journal ArticleDOI

An improved level set method for incompressible two-phase flows

TLDR
A level set method for capturing the interface between two fluids is combined with a variable density projection method to allow for computation of a two-phase flow where the interface can merge/break and the flow can have a high Reynolds number.
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This article is published in Computers & Fluids.The article was published on 1998-06-01. It has received 825 citations till now. The article focuses on the topics: Level set method & Projection method.

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Citations
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Journal ArticleDOI

Level set methods: an overview and some recent results

TL;DR: The level set method is couple to a wide variety of problems involving external physics, such as compressible and incompressible flow, Stefan problems, kinetic crystal growth, epitaxial growth of thin films, vortex-dominated flows, and extensions to multiphase motion.
Journal ArticleDOI

A Coupled Level Set and Volume-of-Fluid Method for Computing 3D and Axisymmetric Incompressible Two-Phase Flows

TL;DR: In this article, a coupled level set/volume-of-fluid (CLSVOF) method was proposed for computing 3D and axisymmetric incompressible two-phase flows.
Journal ArticleDOI

Regular Article: Calculation of Two-Phase Navier–Stokes Flows Using Phase-Field Modeling

TL;DR: In this article, the Navier-Stokes equations are modified by the addition of the continuum forcing [emailprotected]?->@f, where C is the composition variable and @f is C's chemical potential.
Journal ArticleDOI

A conservative level set method for two phase flow II

TL;DR: In this article, the conservative level set method for incompressible two-phase flow with surface tension is studied. But the authors focus on the conservation of mass and do not consider the effect of the finite element discretization.
References
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Journal ArticleDOI

Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations

TL;DR: The PSC algorithm as mentioned in this paper approximates the Hamilton-Jacobi equations with parabolic right-hand-sides by using techniques from the hyperbolic conservation laws, which can be used also for more general surface motion problems.
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A continuum method for modeling surface tension

TL;DR: In this paper, a force density proportional to the surface curvature of constant color is defined at each point in the transition region; this force-density is normalized in such a way that the conventional description of surface tension on an interface is recovered when the ratio of local transition-reion thickness to local curvature radius approaches zero.
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Efficient implementation of essentially non-oscillatory shock-capturing schemes,II

TL;DR: Two methods of sharpening contact discontinuities-the subcell resolution idea of Harten and the artificial compression idea of Yang, which those authors originally used in the cell average framework-are applied to the current ENO schemes using numerical fluxes and TVD Runge-Kutta time discretizations.
Journal ArticleDOI

A level set approach for computing solutions to incompressible two-phase flow

TL;DR: A level set method for capturing the interface between two fluids is combined with a variable density projection method to allow for computation of two-phase flow where the interface can merge/break and the flow can have a high Reynolds number.

A level set approach for computing solutions to incompressible two- phase flow II

TL;DR: In this article, a level set method for capturing the interface between two fluids is combined with a variable density projection method to allow for computation of two-phase flow where the interface can merge/break and the flow can have a high Reynolds number.
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