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

Daniel Johnston, Mohammed Afsar

Research output: Contribution to conferencePoster

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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.
Original languageEnglish
Number of pages1
Publication statusPublished - 30 May 2019
EventThe 32nd Scottish Fluid Mechanics Meeting - University of Dundee, School of Science and Engineering , Dundee, United Kingdom
Duration: 30 May 201930 May 2019
https://sites.dundee.ac.uk/sfmm-2019/

Conference

ConferenceThe 32nd Scottish Fluid Mechanics Meeting
Abbreviated titleSFMM
CountryUnited Kingdom
CityDundee
Period30/05/1930/05/19
Internet address

Keywords

  • Padé Approximant
  • Van der Pol oscillators
  • vortex shedding

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    Johnston, D., & Afsar, M. (2019). Use of the Padé Approximant in solution to a model of vortex shedding. Poster session presented at The 32nd Scottish Fluid Mechanics Meeting, Dundee, United Kingdom.