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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Numerical simulation of thermo‐solutal‐capillary migration of a dissolving drop in a cavity
TL;DR: In this paper, the authors studied the thermo-solutal-capillary migration of a dissolving liquid drop, composed by a binary mixture having a miscibility gap, injected in a closed cavity with differentially heated end walls.
Journal ArticleDOI
Sharp numerical simulation of incompressible two-phase flows
TL;DR: A novel construction for the pressure guess is able to alleviate the standard time step restriction incurred by capillary forces, and the solver is validated numerically and employed to simulate the dynamics of physically relevant problems such as rising bubbles and viscous droplets in electric fields.
Journal ArticleDOI
Simulation of interfacial instabilities during solidification. I: Conduction and capillarity effects
H. S. Udaykumar,Wei Shyy +1 more
TL;DR: In this article, a combined Eulerian-Lagrangian numerical method is developed for simulating deformed interfaces arising in the solidification of pure materials, where the interface tracking procedure employs marker particles and is the Lagrangian component of the calculation.
Journal ArticleDOI
Erythrocyte deformation in a microfluidic cross-slot channel
TL;DR: In this paper, the extensional flow within a microfluidic cross-slot microchannel has been proposed as a mechanism for measuring the deformation of red blood cell (RBC) deformation, with greater deformation occurring when cells enter either near the center or close to the wall.
Dissertation
The Least-Squares Spectral Element Method Solution of the Gas-Liquid Multi-fluid Model Coupled with the Population Balance Equation
TL;DR: In this paper, the authors focus on the modelling of dispersed bubbly flow encountered widely in the chemical, oil and gas and nuclear industries, using computational fluid dynamics (CFD) techniques.
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.