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Shear Layer Interactions With Fluid–Fluid Interface in the Wake of an Elliptical Cylinder

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TLDR
In this article, the wake of an elliptic cylinder is analyzed in the presence of a fluid-fluid interface and the interaction between the interface and flow affect each other and hence different wake dynamics and interface topologies are observed.
Abstract
In this study, wake of an elliptic cylinder is analyzed in the presence of a fluid–fluid interface. The interactions between the interface and flow affect each other and hence different wake dynamics and interface topologies are observed. The numerical solver developed for this study has immersed boundary method (IBM) coupled with level-set method (LSM). The proximity of the elliptical cylinder to the interface (H/D), Froude number (Fr), and angle of incidence (AOI) are the parameters considered. Three different Froude number regimes are considered for this study, namely, subcritical (Fr < 1), critical (Fr = 1.0), and supercritical (Fr >1) regime. In this paper, the interface topology, wake dynamics, and force values are compared for the variation of these parameters.

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Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations

TL;DR: The PSC algorithm as mentioned in this paper approximates the Hamilton-Jacobi equations with parabolic right-hand-sides by using techniques from the hyperbolic conservation laws, which can be used also for more general surface motion problems.
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A level set approach for computing solutions to incompressible two-phase flow

TL;DR: A level set method for capturing the interface between two fluids is combined with a variable density projection method to allow for computation of two-phase flow where the interface can merge/break and the flow can have a high Reynolds number.

A level set approach for computing solutions to incompressible two- phase flow II

TL;DR: In this article, a level set method for capturing the interface between two fluids is combined with a variable density projection method to allow for computation of two-phase flow where the interface can merge/break and the flow can have a high Reynolds number.
Journal ArticleDOI

Level set methods: an overview and some recent results

TL;DR: The level set method is couple to a wide variety of problems involving external physics, such as compressible and incompressible flow, Stefan problems, kinetic crystal growth, epitaxial growth of thin films, vortex-dominated flows, and extensions to multiphase motion.
Journal ArticleDOI

Diffuse-interface methods in fluid mechanics

TL;DR: Issues including sharp-interface analyses that relate these models to the classical free-boundary problem, computational approaches to describe interfacial phenomena, and models of fully miscible fluids are addressed.
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