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Journal ArticleDOI

A continuum method for modeling surface tension

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TLDR
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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Citations
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An overview on smoothed particle hydrodynamics

TL;DR: An overview on smoothed particle hydrodynamics can be found in this paper, where the interpolation and approximations of the SPH method and the corresponding numerical errors are analyzed.
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Modelling capillary trapping using finite-volume simulation of two-phase flow directly on micro-CT images

TL;DR: In this paper, a volume-of-fluid-based finite-volume framework was used to simulate the physics of multiphase flow at the pore-scale and analyzed the effects of initial nonwetting-phase saturation, capillary number and flow direction on the residual saturation.
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A coupled volume-of-fluid/level-set method for simulation of two-phase flows on unstructured meshes

TL;DR: Conservation properties of this method are shown to be excellent, while geometrical accuracy remains satisfactory even for the most complex flows.
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Simulations of 3D bioprinting: predicting bioprintability of nanofibrillar inks.

TL;DR: This paper demonstrates how experimental evaluation could be complemented with computer based simulations to evaluate newly developed bioinks, using a computational fluid dynamics simulation tool to study the influence of different printing parameters and evaluate the predictability of the printing process.
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Benchmarks and numerical methods for the simulation of boiling flows

TL;DR: It is demonstrated that high order extrapolation methods on the thermal field allow performing accurate and robust simulations for a thermally controlled bubble growth and some simulations of the growth of a rising bubble are presented.
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.
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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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