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 discontinuous Galerkin conservative level set scheme for interface capturing in multiphase flows
Mark Owkes,Olivier Desjardins +1 more
TL;DR: The accurate conservative level set (ACLS) method is extended by using a discontinuous Galerkin (DG) discretization, which allows for the scheme to have an arbitrarily high order of accuracy with the smallest possible computational stencil resulting in an accurate method with good parallel scaling.
Journal ArticleDOI
Computation of flow-induced motion of floating bodies
TL;DR: In this paper, a computational procedure for the prediction of motion of rigid bodies floating in viscous fluids and subjected to currents and waves is presented, based on a coupled iterative solution of equations of motion.
Journal ArticleDOI
Energy law preserving C0 finite element schemes for phase field models in two-phase flow computations
TL;DR: The idea in [33] is used to develop the energy law preserving method and compute the diffusive interface (phase-field) models of Allen-Cahn and Cahn-Hilliard type, respectively, governing the motion of two-phase incompressible flows.
Journal ArticleDOI
A coupled model for simulation of the gas–liquid two-phase flow with complex flow patterns
TL;DR: In this article, a new model coupling two basic models, the model based on interface tracking method and the two-fluid model, for simulating gas-liquid two-phase flow is presented.
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A numerical method to compute solidification and melting processes
Soumen Jana,S. Ray,F. Durst +2 more
TL;DR: In this article, a simple linear interpolation is used to slide grid nodes along the interface to handle the otherwise obtained grid skewness near the interface, and the numerical approach employed is validated with standard test cases available in the literature.
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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