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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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Nonlinear partial differential equations with applications

TL;DR: In this paper, the authors present a system of equations for evolving pseudomonotone or weakly continuous mappings with set-valued mappings, and a set of auxiliary tools.
Journal ArticleDOI

Water transport in polymer electrolyte membrane fuel cells

TL;DR: In this article, the state and transport mechanism of water in different components of PEMFC are elaborated in detail, and the experimental techniques have been developed to predict distributions of water, gas species, temperature and other parameters in polymer electrolyte membrane fuel cell (PEMFC).
Journal ArticleDOI

Contact-line dynamics of a diffuse fluid interface

TL;DR: In this article, an analysis of the moving contact line dynamics of a Cahn-Hilliard-van der Waals (CHW) diffuse mean-field interface is presented.
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A Method for Capturing Sharp Fluid Interfaces on Arbitrary Meshes

TL;DR: The novelty of the method lies in the adaptive combination of high resolution discretisation schemes which ensure the preservation of the sharpness and shape of the interface while retaining boundedness of the field.
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The constrained interpolation profile method for multiphase analysis

TL;DR: This work provides a comprehensive review of the strategy of the CIP method, which has a compact support and subcell resolution, including a front-capturing algorithm with functional transformation, a pressure-based algorithm, and other miscellaneous physics such as the elastic–plastic effect and surface tension.
References
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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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