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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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Comparison of Surface Tension Models for the Volume of Fluid Method

TL;DR: In this article, the authors implemented the Continuum Surface Force (CSF), Smoothed CSF and Sharp surface force (SSF) models in OpenFOAM and validated them for various multiphase flow scenarios for Capillary numbers of 10 − 3 -10.
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Metal Transfer and Arc Plasma in Gas Metal Arc Welding

TL;DR: In this paper, the transient complex heat transfer and fluid flow in molten metal and arc plasma during the gas metal arc welding process was analyzed and the model predicts the formation, growth, detachment, and transfer of droplets from the tip of a continuously fed electrode under the influences of several competing forces including gravity, electromagnetic force, arc pressure, plasma shear stress, and surface tension.
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A DLM immersed boundary method based wave-structure interaction solver for high density ratio multiphase flows

TL;DR: In this paper, a robust immersed boundary (IB) method for high density ratio multiphase flows is presented, which is capable of modeling complex wave-structure interaction (WSI) problems arising in marine and coastal engineering applications.
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Numerical and Experimental Study of Large Steam-Air Bubbles Injected in a Water Pool

TL;DR: In this paper, the authors developed a computer simulation program for the hydrodynamics of the process using an isothermal piecewise linear interface construction-volume of fluid method and carried out an experiment with flow rates up to 50 l/s into a tank of 1 m3 volume.
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Inertia dominated flow and heat transfer in liquid drop spreading on a hot substrate

TL;DR: Pasandideh-Fard et al. as discussed by the authors used the volume-of-fluid method for the free-surface capturing, and validated the model by simulating the configurations accounting for conjugate heat transfer.
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.
Journal ArticleDOI

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.
Journal ArticleDOI

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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