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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Analysis and applications of the Voronoi Implicit Interface Method
Robert Saye,James A. Sethian +1 more
TL;DR: This paper performs rigorous analysis and demonstrates convergence in both two and three dimensions for a variety of evolving interface problems, including verification of von Neumann-Mullins' law in two dimensions (and its analog in three dimensions), as well as normal driven flow and curvature flow with and without constraints, demonstrating topological change and the effects of different boundary conditions.
Journal ArticleDOI
Droplet retention on an incline
TL;DR: In this article, a volume of fluid and continuous surface force model with varying contact angles along the triple contact line is developed to predict droplet shape and contact line profile and contact area.
Journal ArticleDOI
Smoothed Particle Hydrodynamics: A consistent model for interfacial multiphase fluid flow simulations
Abdelkader Krimi,Abdelkader Krimi,Mehdi Rezoug,Sofiane Khelladi,Xesús Nogueira,Michael Deligant,Luis Ramírez +6 more
TL;DR: A particle redistribution strategy as an extension of the damping technique presented in [3] to smooth the initial transient phase of gravitational multiphase fluid flow simulations is presented.
Journal ArticleDOI
Heat transfer and fluid flow and their effects on the solidification microstructure in full-penetration laser welding of aluminum sheet
TL;DR: In this article, a three-dimensional numerical model was developed to understand the multi-physical processes such as heat transfer, melt convection and solidification behavior in full-penetration laser welding of thin 5083 aluminum sheet.
Journal ArticleDOI
Effects of actuating waveform, ink property, and nozzle size on piezoelectrically driven inkjet droplets
TL;DR: In this article, a single droplet ejected from a bendmode piezoelectric inkjet printhead was modeled by a coupled PDEF-structural-fluid solution procedure and verified by the μ-FV results.
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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Stanley Osher,James A. Sethian +1 more