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Journal ArticleDOI

A continuum method for modeling surface tension

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TLDR
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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This article is published in Journal of Computational Physics.The article was published on 1992-06-01. It has received 7863 citations till now. The article focuses on the topics: Capillary surface & Capillary length.

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Citations
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A domain decomposition approach to compute wave breaking (wave‐breaking flows)

TL;DR: In this paper, a two-fluid viscous flow model is used in the free surface region to capture the air-water interface (via a level-set technique), while a potential flow approximation is adopted to describe the flow far from the interface.
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An Enhanced VOF Method Coupled with Heat Transfer and Phase Change to Characterise Bubble Detachment in Saturated Pool Boiling

TL;DR: In this article, an improved Volume of Fluid (VOF) approach, developed previously in the general framework of OpenFOAM Computational Fluid Dynamics (CFD) Toolbox, is further coupled with heat transfer and phase change.
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CFD analysis of microfluidic droplet formation in non–Newtonian liquid

TL;DR: In this article, a three-dimensional volume-of-fluid (VOF) based CFD model is presented to investigate droplet formation in a microfluidic T-junction.
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A mass conserving level set method for detailed numerical simulation of liquid atomization

TL;DR: An improved mass conserving level set method for detailed numerical simulations of liquid atomization is developed, which introduces a mass remedy procedure based on the local curvature at the interface that can ensure the absolute mass conservation of the liquid phase in the computational domain.
References
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Journal ArticleDOI

Volume of fluid (VOF) method for the dynamics of free boundaries

TL;DR: In this paper, the concept of a fractional volume of fluid (VOF) has been used to approximate free boundaries in finite-difference numerical simulations, which is shown to be more flexible and efficient than other methods for treating complicated free boundary configurations.
Book

An Introduction to Fluid Dynamics

TL;DR: The dynamique des : fluides Reference Record created on 2005-11-18 is updated on 2016-08-08 and shows improvements in the quality of the data over the past decade.
Book

A practical guide to splines

Carl de Boor
TL;DR: This book presents those parts of the theory which are especially useful in calculations and stresses the representation of splines as linear combinations of B-splines as well as specific approximation methods, interpolation, smoothing and least-squares approximation, the solution of an ordinary differential equation by collocation, curve fitting, and surface fitting.
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An Introduction to Fluid Dynamics. By G. K. Batchelor. Pp. 615. 75s. (Cambridge.)

TL;DR: In this paper, the Navier-Stokes equation is derived for an inviscid fluid, and a finite difference method is proposed to solve the Euler's equations for a fluid flow in 3D space.
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Numerical Calculation of Time‐Dependent Viscous Incompressible Flow of Fluid with Free Surface

TL;DR: In this paper, a new technique is described for the numerical investigation of the time-dependent flow of an incompressible fluid, the boundary of which is partially confined and partially free The full Navier-Stokes equations are written in finite-difference form, and the solution is accomplished by finite-time step advancement.
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