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

Daniel Johnston, Mohammed Afsar

Research output: Contribution to conferencePoster

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.

Conference

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

Fingerprint

Vortex shedding
Taylor series
Runge Kutta methods

Keywords

  • Padé Approximant
  • Van der Pol oscillators
  • vortex shedding

Cite this

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.
Johnston, Daniel ; Afsar, Mohammed. / 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.1 p.
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title = "Use of the Pad{\'e} Approximant in solution to a model of vortex shedding",
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 Pad{\'e} 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.",
keywords = "Pad{\'e} Approximant, Van der Pol oscillators, vortex shedding",
author = "Daniel Johnston and Mohammed Afsar",
year = "2019",
month = "5",
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language = "English",
note = "The 32nd Scottish Fluid Mechanics Meeting, SFMM ; Conference date: 30-05-2019 Through 30-05-2019",
url = "https://sites.dundee.ac.uk/sfmm-2019/",

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Johnston, D & Afsar, M 2019, 'Use of the Padé Approximant in solution to a model of vortex shedding' The 32nd Scottish Fluid Mechanics Meeting, Dundee, United Kingdom, 30/05/19 - 30/05/19, .

Use of the Padé Approximant in solution to a model of vortex shedding. / Johnston, Daniel; Afsar, Mohammed.

2019. Poster session presented at The 32nd Scottish Fluid Mechanics Meeting, Dundee, United Kingdom.

Research output: Contribution to conferencePoster

TY - CONF

T1 - Use of the Padé Approximant in solution to a model of vortex shedding

AU - Johnston, Daniel

AU - Afsar, Mohammed

PY - 2019/5/30

Y1 - 2019/5/30

N2 - 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.

AB - 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.

KW - Padé Approximant

KW - Van der Pol oscillators

KW - vortex shedding

UR - https://sites.dundee.ac.uk/sfmm-2019/

M3 - Poster

ER -

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