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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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Numerical simulation of wavy falling film flow using VOF method

TL;DR: In this article, a simulation of surface wave dynamics of vertical falling films under monochromatic-frequency flowrate-forcing perturbations is computed by direct simulation of Navier-Stokes equations using the VOF method to track free surfaces and the Continuum Surface Force (CSF) model to account for dynamic boundary conditions at free surfaces.
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Direct numerical simulation of evaporating droplets

TL;DR: A model for the three-dimensional direct numerical simulation of evaporating, deforming droplets in incompressible flow based on the volume-of-fluid method is presented, capable of capturing very strong deformations.
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The point-set method: front-tracking without connectivity

TL;DR: In this article, a point set method for extracting the normal, curvature, and surface area from unordered data points residing on a surface is described, which relaxes front tracking's reliance on connectivity between interfacial points and allows front tracking to model topological changes at an interface naturally.
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Numerical investigation of hydrodynamics and heat transfer of elongated bubbles during flow boiling in a microchannel

TL;DR: In this article, numerical simulations of single elongated bubbles in flow boiling conditions within circular microchannels were performed, where thin-film evaporation was proved to be the dominant heat transfer mechanism in the liquid film region between the wall and the elongated bubble.
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A numerical model for segmented flow in a microreactor

TL;DR: A numerical model for segmented flow in a microreactor has been developed based on computational fluid dynamics (CFD) and validated by comparing predicted data with experimentalmicroreactor titrations.
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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