Journal ArticleDOI
A continuum method for modeling surface tension
Reads0
Chats0
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.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
More filters
Journal ArticleDOI
Wall effects on the rise of single gas bubbles in liquids
TL;DR: In this article, an extensive experimental investigation on the velocity of rise of air bubbles in the size range db = 3 - 80 mm in water was carried out and the column diameter was found to have a significant effect on the rise velocity of the bubbles.
Journal ArticleDOI
A high-resolution characteristics-based implicit dual time-stepping VOF method for free surface flow simulation on unstructured grids
TL;DR: In this paper, a Navier-Stokes solver based on a high-order characteristics-based method, the artificial compressibility method, and a matrix-free implicit dual time-stepping scheme was developed to study unsteady free surface flows.
Book ChapterDOI
Algebraic Flux Correction III
TL;DR: In this article, an algebraic flux correction scheme for the Euler equations of gas dynamics is presented, where the construction of artificial viscosity operators, the choice of variables to be limited, and the transformation of antidiffusive fluxes are discussed.
Journal ArticleDOI
Investigation of water and CO2 (carbon dioxide) flooding using micro-CT (micro-computed tomography) images of Berea sandstone core using finite element simulations
TL;DR: In this paper, a numerical investigation of water and CO2 (carbon dioxide) flooding at the pore scale of a porous medium was performed using high resolution micro-computed tomography (micro-CT) images of Berea sandstone core to obtain pore geometry, and the numerical solution used for the simulation was carried out by a finite element based software package Level Set method to determine the position of the interface between two immiscible fluids when oil is displaced by water and carbon dioxide.
Journal ArticleDOI
Two-Dimensional Front Tracking Based on High Resolution Wave Propagation Methods
TL;DR: In this article, the front is tracked by solving a Riemann problem normal to each segment of the front and using the motion of the strongest wave to give an approximate location at the end of the time step.
References
More filters
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.
Related Papers (5)
A level set approach for computing solutions to incompressible two-phase flow
Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Stanley Osher,James A. Sethian +1 more