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).
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.
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