Vortex shedding modeling using diffusive van der Pol oscillators

Matteo Luca Facchinetti; Emmanuel De Langre; Francis Biolley

doi:10.1016/S1631-0721(02)01492-4

Vortex shedding modeling using diffusive van der Pol oscillators

Matteo Luca Facchinetti
, Emmanuel De Langre
, Francis Biolley

Research output: Contribution to journal › Article › peer-review

Abstract

A simple model for the near wake dynamics of slender bluff bodies in cross-flow is analyzed. It is based on a continuous distribution of van der Pol oscillators arranged along the spanwise extent of the structure and interacting by diffusion. Diffusive interaction is shown to be able to model cellular vortex shedding in shear flow, the cell size being estimated analytically with respect to the model parameters. Moreover, diffusive interaction succeeds in describing qualitatively the global suppression of vortex shedding from a sinuous structure in uniform flow.

Original language	English
Pages (from-to)	451-456
Number of pages	6
Journal	Comptes Rendus - Mecanique
Volume	330
Issue number	7
DOIs	https://doi.org/10.1016/S1631-0721(02)01492-4
Publication status	Published - 1 Jul 2002

Keywords

3-D spanwise effects
Dynamical systems
Fluid mechanics
Van der Pol oscillator
Vortex shedding

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10.1016/S1631-0721(02)01492-4

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title = "Vortex shedding modeling using diffusive van der Pol oscillators",

abstract = "A simple model for the near wake dynamics of slender bluff bodies in cross-flow is analyzed. It is based on a continuous distribution of van der Pol oscillators arranged along the spanwise extent of the structure and interacting by diffusion. Diffusive interaction is shown to be able to model cellular vortex shedding in shear flow, the cell size being estimated analytically with respect to the model parameters. Moreover, diffusive interaction succeeds in describing qualitatively the global suppression of vortex shedding from a sinuous structure in uniform flow.",

keywords = "3-D spanwise effects, Dynamical systems, Fluid mechanics, Van der Pol oscillator, Vortex shedding",

author = "Facchinetti, \{Matteo Luca\} and \{De Langre\}, Emmanuel and Francis Biolley",

year = "2002",

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T1 - Vortex shedding modeling using diffusive van der Pol oscillators

AU - Facchinetti, Matteo Luca

AU - De Langre, Emmanuel

AU - Biolley, Francis

PY - 2002/7/1

Y1 - 2002/7/1

N2 - A simple model for the near wake dynamics of slender bluff bodies in cross-flow is analyzed. It is based on a continuous distribution of van der Pol oscillators arranged along the spanwise extent of the structure and interacting by diffusion. Diffusive interaction is shown to be able to model cellular vortex shedding in shear flow, the cell size being estimated analytically with respect to the model parameters. Moreover, diffusive interaction succeeds in describing qualitatively the global suppression of vortex shedding from a sinuous structure in uniform flow.

AB - A simple model for the near wake dynamics of slender bluff bodies in cross-flow is analyzed. It is based on a continuous distribution of van der Pol oscillators arranged along the spanwise extent of the structure and interacting by diffusion. Diffusive interaction is shown to be able to model cellular vortex shedding in shear flow, the cell size being estimated analytically with respect to the model parameters. Moreover, diffusive interaction succeeds in describing qualitatively the global suppression of vortex shedding from a sinuous structure in uniform flow.

KW - 3-D spanwise effects

KW - Dynamical systems

KW - Fluid mechanics

KW - Van der Pol oscillator

KW - Vortex shedding

UR - https://www.scopus.com/pages/publications/0036662979

U2 - 10.1016/S1631-0721(02)01492-4

DO - 10.1016/S1631-0721(02)01492-4

M3 - Article

AN - SCOPUS:0036662979

SN - 1631-0721

VL - 330

SP - 451

EP - 456

JO - Comptes Rendus - Mecanique

JF - Comptes Rendus - Mecanique

IS - 7

ER -

Vortex shedding modeling using diffusive van der Pol oscillators

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