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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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Effect of dynamic contact angle in a volume of fluid (VOF) model for a microfluidic capillary flow

TL;DR: The study demonstrated that the dynamic contact angle models modifies the transient response of the meniscus displacement and also the observed trends are model specific for the various microchannel geometries and working fluids.
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Detailed Numerical Simulations of the Primary Atomization of a Turbulent Liquid Jet in Crossflow

TL;DR: In this paper, the phase interface during the initial breakup phase is tracked by a level set method on a separate refined grid and a balanced force finite volume algorithm together with an interface projected curvature evaluation is used to ensure the stable and accurate treatment of surface tension forces even on small scales.
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Coupling of the interface tracking and the two-fluid models for the simulation of incompressible two-phase flow

TL;DR: In this paper, the authors used the volume of fluid (VOF) method and the two-fluid model to describe two-dimensional, incompressible, viscous two-phase flow.
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Dynamic behaviour of liquid water emerging from a GDL pore into a PEMFC gas flow channel

TL;DR: In this paper, a numerical analysis of the dynamic behavior of liquid water entering a polymer electrolyte membrane fuel cell (PEMFC) channel through a GDL pore is reported.
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An interface-capturing method for incompressible two-phase flows. Validation and application to bubble dynamics

TL;DR: In this article, an interface-capturing method for computing three-dimensional incompressible two-phase flows involving high density and viscosity ratios, together with capillary effects is presented.
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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