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Open AccessJournal ArticleDOI

Ripple: a new model for incompressible flows with free surfaces

Douglas B. Kothe, +1 more
- 01 Sep 1991 - 
- Vol. 30, Iss: 11, pp 2694-2700
TLDR
The RIPPLE model as mentioned in this paper obtains finite difference solutions for incompressible flow problems having strong surface tension forces at free surfaces of arbitrarily complex topology, which represents surface tension as a localized volume force.
Abstract
A new free surface flow model, RIPPLE, is summarized. RIPPLE obtains finite difference solutions for incompressible flow problems having strong surface tension forces at free surfaces of arbitrarily complex topology. The key innovation is the continuum surface force model which represents surface tension as a (strongly) localized volume force. Other features include a higher-order momentum advection model, a volume-of-fluid free surface treatment, and an efficient two-step projection solution method. RIPPLE's unique capabilities are illustrated with two example problems: low-gravity jet-induced tank flow, and the collision and coalescence of two cylindrical rods.

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Citations
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Second-order accurate volume-of-fluid algorithms for tracking material interfaces

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A High-Order Projection Method for Tracking Fluid Interfaces in Variable Density Incompressible Flows

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Simulating surface tension with smoothed particle hydrodynamics

TL;DR: In this paper, a smoothed particle hydrodynamics (SPH) based approach is presented for simulating two-phase flows including surface tension, and several possible implementations of surface tension force are suggested and compared.
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Computation of Solid-Liquid Phase Fronts in the Sharp Interface Limit on Fixed Grids

TL;DR: In this paper, a finite difference formulation is applied to track solid?liquid boundaries on a fixed underlying grid, where the interface is not of finite thickness but is treated as a discontinuity and is explicitly tracked.
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.
Journal ArticleDOI

A continuum method for modeling surface tension

TL;DR: 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.
Journal ArticleDOI

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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TL;DR: In this article, turbulence and melange models are used to model models of mathematical models for fluides reference record created on 2005-11-18, modified on 2016-08-08.
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The incomplete Cholesky—conjugate gradient method for the iterative solution of systems of linear equations

TL;DR: A new iterative method for the solution of systems of linear equations has been recently proposed by Meijerink and van der Vorst and has been applied to real laser fusion problems taken from typical runs of the laser fusion simulation code LASNEX.
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