Journal ArticleDOI
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.About:
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.read more
Citations
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Three-dimensional finite element thermomechanical modeling of additive manufacturing by selective laser melting for ceramic materials
TL;DR: In this paper, a model for additive manufacturing by selective laser melting of a powder bed with application to alumina ceramic is presented, where a volume heat source model taking into account the material absorption is derived.
Journal ArticleDOI
Inertial dynamics of air bubbles crossing a horizontal fluid-fluid interface
TL;DR: In this paper, the dynamics of isolated air bubbles crossing the horizontal interface separating two Newtonian immiscible liquids initially at rest are studied both experimentally and computationally both in high-speed video imaging.
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Numerical simulation of bubble and droplet deformation by a level set approach with surface tension in three dimensions
TL;DR: In this article, a three-dimensional Navier-Stokes solver for two-phase flow problems with surface tension is presented, where the free surface between the two fluid phases is tracked with a level set (LS) technique.
Journal ArticleDOI
Inertial effects during irreversible meniscus reconfiguration in angular pores
Andrea Ferrari,Ivan Lunati +1 more
TL;DR: In this article, the authors consider the dynamics of a meniscus in a corner as it can be encountered in angular pores and investigate this process in detail by means of direct numerical simulations that solve the Navier-Stokes equations in the pore space and employ the Volume of Fluid method (VOF) to track the evolution of the interface.
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Effects of viscosity on coalescence of a bubble upon impact with a free surface
TL;DR: In this article, the effects of liquid viscosity on coalescence of a bubble upon impact with a free surface were studied both experimentally and numerically, and they concluded that not only the liquid film but also the liquid flow field underneath the bubble was important for bubble coalescence or bouncing.
References
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Journal ArticleDOI
Volume of fluid (VOF) method for the dynamics of free boundaries
C.W Hirt,B. D. Nichols +1 more
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
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
Francis H. Harlow,J. Eddie Welch +1 more
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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