Use of the Padé Approximant in solution to a model of vortex shedding

Johnston, Daniel and Afsar, Mohammed (2019) Use of the Padé Approximant in solution to a model of vortex shedding. In: The 32nd Scottish Fluid Mechanics Meeting, 2019-05-30 - 2019-05-30, University of Dundee, School of Science and Engineering.

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    Abstract

    The diffusive form of the Van der Pol Oscillator equation may be used to model near-wake dynamics of slender bluff bodies. This model is achieved by a continuous distribution of the equation across the spanwise direction. Here, the Padé Approximant is used to obtain an algebraic approximation for this model. This result is then compared to the equivalent Taylor Series Expansion, and the numerical solution returned by the Classical 4th Order Runge-Kutta Method.