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A continuum method for modeling surface tension

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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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Direct numerical simulation of particle impact on thin liquid films using a combined volume of fluid and immersed boundary method

TL;DR: In this article, a particle colliding with a thin liquid film is simulated to understand the effect of system parameters on the restitution coefficient of a gas-solid flow involving wet particles.
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Numerical simulation of Taylor bubble formation in a microchannel with a converging shape mixing junction

TL;DR: In this paper, the effect of the contact angle, surface tension and liquid viscosity on the Taylor bubble details (i.e., length, volume and shape) has been investigated systematically.
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Numerical and experimental study of two-phase flow uniformity in channels of parallel PEM fuel cells with modified Z-type flow-fields

TL;DR: In this paper, a 3D numerical model is proposed in order to simulate two-phase flow in channels of parallel flow-fields and a modified flow-field with uniform distribution of single-phase and twophase flow is introduced.
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Highly resolved Eulerian simulations of fuel spray transients in single and multi-hole injectors: Nozzle flow and near-exit dynamics

TL;DR: In this article, diesel spray transients were investigated in single-hole and 3-hole nozzles, encompassing internal and external nozzle flow and including needle motion, performing highly resolved (2.5μm) computational fluid dynamics (CFD) simulations.
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Tracking of immiscible interfaces in multiple-material mixing processes

TL;DR: In this article, a numerical study is presented for tracking immiscible interfaces with piecewise linear (PLIC) volume-of-fluid (VOF) methods on Eulerian grids in two and three-dimensional multiple-material processes.
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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