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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Direct numerical simulation of evaporating droplets
Jan Schlottke,Bernhard Weigand +1 more
TL;DR: A model for the three-dimensional direct numerical simulation of evaporating, deforming droplets in incompressible flow based on the volume-of-fluid method is presented, capable of capturing very strong deformations.
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The point-set method: front-tracking without connectivity
TL;DR: In this article, a point set method for extracting the normal, curvature, and surface area from unordered data points residing on a surface is described, which relaxes front tracking's reliance on connectivity between interfacial points and allows front tracking to model topological changes at an interface naturally.
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The sharp-interface limit of the Cahn-Hilliard/Navier-Stokes model for binary fluids
TL;DR: In this article, it is shown that the mobility is an effective parameter to be chosen proportional to the square of the interface thickness, and the theoretical results are confirmed by numerical simulations for two prototypal flows, namely capillary waves riding the interface and droplets coalescence.
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A phase field formulation of the Willmore problem
TL;DR: In this article, it is shown that the elastic bending energy of a phase field converges to the surface energy and the Lagrange multipliers associated with the volume and surface area constraints remain uniformly bounded.
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Numerical simulations of drop impact and spreading on horizontal and inclined surfaces
TL;DR: Sikalo et al. as mentioned in this paper used the volume of fluid (VOF) method to simulate the dynamics of drop impact and spreading on horizontal and inclined surfaces using 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.