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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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Numerical simulation of droplet detachment in pulsed gas–metal arc welding including the influence of metal vapour

TL;DR: In this article, a numerical model of the droplet detachment of a gas-metal arc welding process is presented based on the volume of fluid method and focuses on the detailed description of the interaction between the arc and the anodic wire electrode.
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Investigation of flow structures in vertical slug flow

TL;DR: In this article, a photochromic dye activation method was used to obtain two-dimensional liquid velocity profiles around a Taylor Bubble rising in stagnant kerosene in a vertical 25.6 mm I.D. pipe.
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Powder-scale multi-physics modeling of multi-layer multi-track selective laser melting with sharp interface capturing method

TL;DR: In this paper, a cutting-edge sharp surface capturing technique (iso-Advector) is incorporated into the volume of fluid model to reconstruct the interface between different phases during the melting process.
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Computer simulation of two-phase immiscible fluid motion in unsaturated complex fractures using a volume of fluid method

TL;DR: In this paper, a modified two-dimensional volume of fluid (VOF) method was used to simulate liquid motion in partially saturated fracture apertures under a variety of flow conditions, such as inertial forces, viscosity, gravity acting on the fluid densities, fracture wall wetting, and the pressure drop across curved fluid-fluid interfaces due to surface tension.
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A multi-GPU accelerated solver for the three-dimensional two-phase incompressible Navier-Stokes equations

TL;DR: To the knowledge, this is the first time, that a two-phase solver for the Navier-Stokes equations profits from the computation power of modern graphics hardware.
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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