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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.
About
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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Citations
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A Stable Parametric Finite Element Discretization of Two-Phase Navier---Stokes Flow

TL;DR: In this article, a parametric finite element approximation of two-phase flow is presented, which is given by the Navier-Stokes equations in the two phases, which are coupled via jump conditions across the interface.
Dissertation

Numerical simulation of multi-fluid flows with the Particle Finite Element Method

TL;DR: In this article, the Particle Finite Element Method (PFEM) was extended to multilinear fluid simulations, with the goal of representing the tension superficial and the viscosidad variable.
Journal ArticleDOI

Mixing in the Stokes flow in a cylindrical container

TL;DR: In this paper, a classification of periodic points, providing important information about the mixing properties of a flow, is presented, and the dynamics of the Poincare map in the vicinity of the periodic points is analysed for all identified types.
Journal ArticleDOI

Numerical and theoretical analyses of the dynamics of droplets driven by electrowetting on dielectric in a Hele-Shaw cell

TL;DR: In this article, the Young-Lippmann equation and the Navier boundary condition were used to simulate droplet motion by electrowetting on dielectric (EWOD) in a Hele-Shaw cell.
Journal ArticleDOI

GNBC-based front-tracking method for the three-dimensional simulation of droplet motion on a solid surface

TL;DR: In this paper, a front-tracking method that integrates the generalized Navier boundary condition (GNBC) to model the MCL is presented, which is based on a 3D Lagrangian mesh.
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

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.
Journal ArticleDOI

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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