Chaotic dynamics of a body–vortex pair

Research output: Contribution to journalConference article – Annual report year: 2011Researchpeer-review

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Chaotic dynamics of a body–vortex pair. / Pedersen, Johan Rønby; Aref, Hassan.

In: Journal of Fluids and Structures, Vol. 27, No. 5-6, 2011, p. 768-773.

Research output: Contribution to journalConference article – Annual report year: 2011Researchpeer-review

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@inproceedings{1fca9437065a4e8987e0199cce2f515a,
title = "Chaotic dynamics of a body–vortex pair",
abstract = "We study an idealized model of body–vortex interaction in two dimensions. The fluid is incompressible and inviscid and assumed to occupy the entire unbounded plane except for a simply connected region representing a rigid body. There may be a constant circulation around the body. The fluid also contains a finite number of point vortices of constant circulation but is otherwise irrotational. We assign a mass distribution to the body and let it move and rotate freely in response to the force and torque exerted by the fluid. Conversely, the fluid moves in response to the body motion. We study the occurrence of chaos in the system of ODEs emerging from these assumptions. It is well-known that the system consisting of a circular body with uniform mass distribution interacting with a single point vortex is integrable. Here we investigate how this integrability breaks down when the body center-of-mass is displaced from its geometrical center. We find two distinct regions of chaos and discuss how they relate to the topology of the trajectories of body and vortex.",
keywords = "Body–vortex interaction, Dynamical system, Chaos, Point vortex, Integrability, Ideal flow",
author = "Pedersen, {Johan R{\o}nby} and Hassan Aref",
year = "2011",
doi = "10.1016/j.jfluidstructs.2011.03.009",
language = "English",
volume = "27",
pages = "768--773",
journal = "Journal of Fluids and Structures",
issn = "0889-9746",
publisher = "Academic Press",
number = "5-6",

}

RIS

TY - GEN

T1 - Chaotic dynamics of a body–vortex pair

AU - Pedersen, Johan Rønby

AU - Aref, Hassan

PY - 2011

Y1 - 2011

N2 - We study an idealized model of body–vortex interaction in two dimensions. The fluid is incompressible and inviscid and assumed to occupy the entire unbounded plane except for a simply connected region representing a rigid body. There may be a constant circulation around the body. The fluid also contains a finite number of point vortices of constant circulation but is otherwise irrotational. We assign a mass distribution to the body and let it move and rotate freely in response to the force and torque exerted by the fluid. Conversely, the fluid moves in response to the body motion. We study the occurrence of chaos in the system of ODEs emerging from these assumptions. It is well-known that the system consisting of a circular body with uniform mass distribution interacting with a single point vortex is integrable. Here we investigate how this integrability breaks down when the body center-of-mass is displaced from its geometrical center. We find two distinct regions of chaos and discuss how they relate to the topology of the trajectories of body and vortex.

AB - We study an idealized model of body–vortex interaction in two dimensions. The fluid is incompressible and inviscid and assumed to occupy the entire unbounded plane except for a simply connected region representing a rigid body. There may be a constant circulation around the body. The fluid also contains a finite number of point vortices of constant circulation but is otherwise irrotational. We assign a mass distribution to the body and let it move and rotate freely in response to the force and torque exerted by the fluid. Conversely, the fluid moves in response to the body motion. We study the occurrence of chaos in the system of ODEs emerging from these assumptions. It is well-known that the system consisting of a circular body with uniform mass distribution interacting with a single point vortex is integrable. Here we investigate how this integrability breaks down when the body center-of-mass is displaced from its geometrical center. We find two distinct regions of chaos and discuss how they relate to the topology of the trajectories of body and vortex.

KW - Body–vortex interaction

KW - Dynamical system

KW - Chaos

KW - Point vortex

KW - Integrability

KW - Ideal flow

U2 - 10.1016/j.jfluidstructs.2011.03.009

DO - 10.1016/j.jfluidstructs.2011.03.009

M3 - Conference article

VL - 27

SP - 768

EP - 773

JO - Journal of Fluids and Structures

JF - Journal of Fluids and Structures

SN - 0889-9746

IS - 5-6

ER -