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A line vortex in a two-fluid system


Forbes, LK and Cosgrove, JM, A line vortex in a two-fluid system, Journal of Engineering Mathematics, 84, (1) pp. 181-199. ISSN 0022-0833 (2014) [Refereed Article]

Copyright Statement

Copyright 2013 Springer Science+Business Media Dordrecht

DOI: doi:10.1007/s10665-012-9606-5


This paper considers the classical problem of a line vortex in planar flow of a fluid. However, an interface is present at some finite radius from the line vortex, and beyond that is a second fluid of different density. The interface is therefore subject to shearing-type instabilities and may overturn as time progresses. A linearized inviscid theory is developed and reveals unstable behaviours, dependent on the parameters in the system. The non-linear inviscid problem is solved by a spectral method, and high-frequency modes are regularized by a type of filtering. In addition, a Boussinesq viscous model is presented and allows the overturning interface to fold. Results are discussed and compared with the predictions of the inviscid theory.

Item Details

Item Type:Refereed Article
Keywords:Boussinesq approximation, curvature singularity, fluid interface, interfacial roll-up, line vortex, spectral methods
Research Division:Engineering
Research Group:Fluid mechanics and thermal engineering
Research Field:Computational methods in fluid flow, heat and mass transfer (incl. computational fluid dynamics)
Objective Division:Expanding Knowledge
Objective Group:Expanding knowledge
Objective Field:Expanding knowledge in the mathematical sciences
UTAS Author:Forbes, LK (Professor Larry Forbes)
UTAS Author:Cosgrove, JM (Dr Jason Cosgrove)
ID Code:82670
Year Published:2014
Web of Science® Times Cited:6
Deposited By:Mathematics and Physics
Deposited On:2013-02-12
Last Modified:2017-10-30

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