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.read more
Citations
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Dynamics of homogeneous bubbly flows Part 1. Rise velocity and microstructure of the bubbles
Bernard Bunner,Gretar Tryggvason +1 more
TL;DR: In this article, a simulation of the motion of up to 216 3D buoyant bubbles in periodic domains is presented, where the full Navier-Stokes equations are solved by a parallelized finite-difference/front-tracking method that allows a deformable interface between the bubbles and the suspending fluid and the inclusion of surface tension.
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A new multiscale finite element method for high-contrast elliptic interface problems
TL;DR: A new multiscale finite element method which is able to accurately capture solutions of elliptic interface problems with high contrast coefficients by using only coarse quasiuniform meshes, and without resolving the interfaces is introduced.
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Three-dimensional lattice Boltzmann model for immiscible two-phase flow simulations.
TL;DR: An improved three-dimensional 19-velocity lattice Boltzmann model for immisicible binary fluids with variable viscosity and density ratios and numerically investigates a single bubble rising under buoyancy force in viscous fluids for a wide range of Eötvös and Morton numbers.
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A novel boundary-integral algorithm for viscous interaction of deformable drops
TL;DR: In this paper, a 3D boundary-integral algorithm for deformable drops moving in a viscous medium at low Reynolds numbers is developed, which overcomes some familiar difficulties with boundaryintegral calculations.
Head-on collision of drops: A numerical investigation
TL;DR: In this article, the Navier-Stokes equations are solved for fluid motion both inside and outside the drops using a front tracking/finite difference technique, and the head-on collision of equal sized drops is studied by full numerical simulations.
References
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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.
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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.
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.