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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Hybrid Multiscale Finite Volume method for two-phase flow in porous media
Pavel Tomin,Ivan Lunati +1 more
TL;DR: A novel hybrid algorithm, which couples pore-scale and Darcy descriptions of two-phase flow in porous media and relies on the assumption that the relationship between coarse-scale fluxes and pressure differences is local, can be used as a numerical tool to investigate the limits of validity of Darcy's law.
Journal ArticleDOI
Tsunami scour around a square structure
TL;DR: Tsunami-induced local scour around a land-based square structure on a sand foundation was investigated with laboratory experiments and numerical simulations in this paper, and the laboratory experiments revealed that the scour was localized.
Journal ArticleDOI
Droplet spreading and capillary imbibition in a porous medium: A coupled IB-VOF method based numerical study
TL;DR: In this article, the dynamics of a liquid droplet in contact with a surface of a porous structure by means of the pore-scale level, fully resolved numerical simulations is investigated.
Journal ArticleDOI
High Order Level Contour Reconstruction Method
Seungwon Shin,Damir Juric +1 more
TL;DR: A modification to the LCRM is described which introduces a high order interpolation kernel during the course of the interface reconstruction along with a new hybrid surface tension formulation which can essentially eliminate any mass redistribution between regions of differing curvature and reconstruct the interface accurately and smoothly.
Journal ArticleDOI
Simulation of liquid sloshing in 2D containers using the volume of fluid method
TL;DR: In this article, a two-dimensional numerical model is developed to study liquid sloshing in containers considering liquid free surface deformation, liquid viscosity and surface tension, and the model is validated by a comparison between the computational and theoretical/experimental results for various slohing scenarios with different time-dependent linear/angular accelerations.
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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