Some Techniques for Extending the Application of the Discrete Vortex Method of Flow Simulation

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Abstract
Summary: Simulations of vortex sheet dynamics by the discrete vortex method have often shown a growing randomness of the discrete vortices. This paper describes two techniques which attempt to mitigate this tendency whilst preserving the overall structure of the vortex sheet. Clusters of vortices near the points of concentration are amalgamated into a single equivalent vortex and a process of repeated rediscretization of the remaining part of the sheet maintains the integrity of its representation. Use of these techniques allow the flow model to be followed beyond previous expectations, without undue randomisation of the vortex positions. The effects of using these techniques on the overall vortex sheet development are fully investigated in order to validate their use in future investigations.

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