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., & Chernyshenko, S. I. (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
• 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