S. I. Chernyshenko
Tikhonov regularisation in discrete vortex methods
Chernyshenko, S. I.; Bouferrouk, A.
Abstract
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.
Citation
Chernyshenko, S. I., & Bouferrouk, A. (2005). Tikhonov regularisation in discrete vortex methods. Computers and Fluids, 34(2), 275-281. https://doi.org/10.1016/j.compfluid.2004.05.003
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 |
DOI | https://doi.org/10.1016/j.compfluid.2004.05.003 |
Keywords | tikhonov, vortex |
Public URL | https://uwe-repository.worktribe.com/output/1051439 |
Publisher URL | http://dx.doi.org/10.1016/j.compfluid.2004.05.003 |
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