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Open AccessJournal ArticleDOI

A front-tracking method for viscous, incompressible, multi-fluid flows

TLDR
In this paper, a method to simulate unsteady multi-fluid flows in which a sharp interface or a front separates incompressible fluids of different density and viscosity is described.
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This article is published in Journal of Computational Physics.The article was published on 1992-05-01 and is currently open access. It has received 2340 citations till now. The article focuses on the topics: Incompressible flow & Unstructured grid.

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Numerical simulation of free-surface flow using the level-set method with global mass correction

TL;DR: In this paper, a new numerical method that couples the incompressible Navier-Stokes equations with the global mass correction level set method for simulating fluid problems with free surfaces and interfaces is presented.
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Space-time discontinuous Galerkin finite element method for two-fluid flows

TL;DR: A novel numerical method for two-fluid flow computations is presented, which combines the space-time discontinuous Galerkin finite element discretization with the level set method and cut-cell based interface tracking.
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Simplified multiphase lattice Boltzmann method for simulating multiphase flows with large density ratios and complex interfaces

TL;DR: In this paper, a simplified multiphase lattice Boltzmann method (SMLBM) is developed for modeling incompressible multi-phase flows with large density ratios and complex interfaces.
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Numerical simulation of viscoelastic two-phase flows using openFOAM®

TL;DR: In this paper, a new solver is developed for the OpenFOAM® CFD toolbox, which handles viscoelastic two-phase flows, and a derivative of the volume-of-fluid (VoF) methodology is used to describe the interface.
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Numerical simulation of unsteady mass transfer by the level set method

TL;DR: In this paper, a numerical simulation of the flow field and the concentration field simultaneously in each time step is compared with experimental data on single drop motion and mass transfer in two typical solvent extraction systems.
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.
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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.
Journal Article

Bubbles, Drops, and Particles

TL;DR: In this paper, the authors evaluated the applicability of the standard κ-ϵ equations and other turbulence models with respect to their applicability in swirling, recirculating flows.
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Numerical analysis of blood flow in the heart

TL;DR: In this article, the authors extended previous work on the solution of the Navier-Stokes equations in the presence of moving immersed boundaries which interact with the fluid and introduced an improved numerical representation of the δ-function.
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