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Tikhonov regularisation in discrete vortex methods

Record type: Article

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.

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Citation

Bouferrouk, A. and Chernyshenko, S.I. (2005) Tikhonov regularisation in discrete vortex methods Computers & Fluids, 34, (2), pp. 275-281. (doi:10.1016/j.compfluid.2004.05.003).

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Published date: 2005

Identifiers

Local EPrints ID: 23031
URI: http://eprints.soton.ac.uk/id/eprint/23031
ISSN: 0045-7930
PURE UUID: 30a18512-8b14-406e-930e-fb7899b886ed

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Date deposited: 15 Mar 2006
Last modified: 17 Jul 2017 16:19

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Contributors

Author: A. Bouferrouk
Author: S.I. Chernyshenko

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