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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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Citations
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Journal ArticleDOI

Modeling of turbulent gas-liquid bubbly flows using stochastic Lagrangian model and lattice-Boltzmann scheme

TL;DR: In this paper, the authors presented detailed, three-dimensional and time-resolved simulations of turbulent gas-liquid bubbly flows using a lattice Boltzmann (LB) scheme, where the Smagorinsky model was used to account for the effects of the sub-filter scales.
Book ChapterDOI

Navier-Stokes Numerical Algorithms for Free-Surface Flow Computations: An Overview

TL;DR: A survey of fixed-grid methods for the calculation of free-surface flows is presented in this article, which is based on a single-fluid formulation that is described first.
Journal ArticleDOI

Flow and mass transfer of fully resolved bubbles in non‐Newtonian fluids

TL;DR: In this paper, high-resolution 2D numerical simulations were performed on the motion of deformable bubbles in non-Newtonian fluids and the associated mass transfer, and it was shown that the fluid elasticity plays a major role for bubble rise velocity, and therefore, mass transfer.
Journal ArticleDOI

Capture and inception of bubbles near line vortices

TL;DR: In this article, a point-particle tracking model was used to predict bubble capture by a concentrated line vortex of core size rc and circulation 0 under noncavitating and cavitating conditions.
Journal ArticleDOI

A note on immersed interface method for three-dimensional elliptic equations

TL;DR: In this paper, the Immersed Interface Method was extended to three-dimensional elliptic equations of the form: ∇·(β(x)∇u(x))+κ(x), u (x)u(X) = f(x).
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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