The present paper describes the results of a numerical study the flow field generated by the oscillations of a thrusting foil. investigation is carried out to see whether a transition from a flow to an aperiodic chaotic flow is present as observed around cylinders. Moreover, the transition process is analysed in detail the characteristics of the system attractor are determined as function the parameters of the problem. The approach considers a two-dimensional. Such purely two-dimensional method of calculation describes main features of the phenomenon but does not provide a complete accurate description of the flow, because it takes into account only cross-stream wake vorticity (at right angles to the direction of motion) in reality trailing vorticity (parallel to the direction of motion) appear even when a 2-D foil is considered. Notwithstanding the limitations, a two-dimensional approach can provide useful on the overall vorticity dynamics and on the forces acting the foil and it is the necessary introduction to full 3-D simulations.
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Blondeaux et al. (2005) studied this question.
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