Tikhonov regularisation in discrete vortex methods
Bouferrouk, A. and Chernyshenko, S.I. (2005) Tikhonov regularisation in discrete vortex methods. Computers & Fluids, 34, (2), 275-281. (doi:10.1016/j.compfluid.2004.05.003).
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Description/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.
| Item Type: | Article |
|---|---|
| ISSNs: | 0045-7930 (print) |
| Related URLs: | |
| Subjects: | T Technology > TA Engineering (General). Civil engineering (General) Q Science > QC Physics Q Science > QA Mathematics > QA76 Computer software |
| Divisions: | University Structure - Pre August 2011 > School of Engineering Sciences |
| Item ID: | 23031 |
| Date Deposited: | 15 Mar 2006 |
| Last Modified: | 01 Jun 2011 04:01 |
| Contributors: | Bouferrouk, A. (Author) Chernyshenko, S.I. (Author) |
| Date: | 2005 |
| Status: | Published |
| Contact Email Address: | chernysh@soton.ac.uk |
| URI: | http://eprints.soton.ac.uk/id/eprint/23031 |
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