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Tikhonov regularisation in discrete vortex methods

Chernyshenko, S. I.; Bouferrouk, A.


S. I. Chernyshenko


In this study we propose the Tikhonov regularisation technique as a useful tool in discrete (blob) vortex methods (DVM). The effectiveness of Tikhonov technique is illustrated for the case of a specific blob vortex method, although the idea may be applicable to a wide class of vortex methods. The flow under consideration, modelled with blob vortices, is inviscid and two-dimensional. Flows past two geometries are considered. The first is a vertical flat plate for which the solution becomes unstable if no regularisation is used. The second is the case of a flow past a circular cylinder where it is demonstrated that the noise in the solution reduces when regularisation is applied. © 2004 Elsevier Ltd. All rights reserved.


Chernyshenko, S. I., & Bouferrouk, A. (2005). Tikhonov regularisation in discrete vortex methods. Computers and Fluids, 34(2), 275-281.

Journal Article Type Article
Publication Date Feb 1, 2005
Deposit Date Jan 21, 2015
Journal Computers and Fluids
Print ISSN 0045-7930
Publisher Elsevier
Peer Reviewed Peer Reviewed
Volume 34
Issue 2
Pages 275-281
Keywords tikhonov, vortex
Public URL
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