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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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Stable but nondissipative water

TL;DR: The introduction of the nondissipative technique means that, in contrast to previous methods, the simulated water does not unnecessarily lose mass, and its motion is not damped to an unphysical extent.
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Effective removal and transport of water in a PEM fuel cell flow channel having a hydrophilic plate

TL;DR: In this article, a volume-of-fluid method for a flow channel having a hydrophilic plate in the middle of the channel was used to investigate the process of water removal and transport in a proton exchange membrane (PEM) fuel cell.
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A hybrid particle-mesh method for viscous, incompressible, multiphase flows

TL;DR: In this paper, a hybrid method to simulate unsteady multiphase flows in which a sharp interface separates incompressible fluids of different density and viscosity is described, where one phase is represented by moving particles and the other phase is defined on stationary mesh.
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Simulation of bubble expansion and collapse in the vicinity of a free surface

TL;DR: In this paper, the simulation results are in agreement with the experimental images, both quantitatively and qualitatively, while pressure waves are predicted both during the expansion and the collapse of the bubble, and minor discrepancies in the jet velocity and collapse rate are attributed to the thermodynamic closure of the gas inside the bubble.
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Mass transfer and liquid hold-up determination in structured packing by CFD

TL;DR: In this paper, a volume of fluid method is used to capture the gas-liquid interface motion and the liquid hold-up in structured packing geometry is investigated using numerical simulations of two-dimensional co-current gas- liquid flow on structured packing with interfacial mass transfer.
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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