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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A numerical study on the hydrodynamics and heat transfer of a circular liquid jet impinging onto a substrate
TL;DR: In this article, the Navier-Stokes equations are solved using a finite-volume formulation and the free surface of a circular liquid jet is tracked by the volume-of-fluid method.
Journal ArticleDOI
A unified single-field model framework for Volume-Of-Fluid simulations of interfacial species transfer applied to bubbly flows
TL;DR: A single-field model, termed Continuous Species Transfer (CST) model, based on OpenFOAM®, which enables the simulation of species transfer in two-phase flows in a realistic range of Henry coefficients and diffusivity ratios in the context of algebraic Volume-Of-Fluid interface capturing techniques.
Journal ArticleDOI
Thickness-based adaptive mesh refinement methods for multi-phase flow simulations with thin regions
Xiaodong Chen,Vigor Yang +1 more
TL;DR: Two thickness-based mesh refinement schemes are developed based on distance- and topology-oriented criteria for thin regions with confining wall/plane of symmetry and in any situation, respectively, and provide highly adaptive meshes for problems with thin regions in an efficient and fully automatic manner.
Journal ArticleDOI
A diffuse-interface description of internal waves in a near-critical fluid
TL;DR: In this article, a diffuse-interface treatment of the internal gravity waves is presented, where the diffuse interface is represented as a transition zone of rapid but smooth density variation in the model, and density gradients appear in a capillary tensor, or Korteweg stress term, in the momentum equation.
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A three-dimensional numerical approach on water entry of a horizontal circular cylinder using the volume of fluid technique
TL;DR: In this paper, complicated hydrodynamics of a horizontal circular cylinder entering water is investigated numerically for low Froude numbers. And the results are compared with those of the experiments available in the literature.
References
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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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