Nonlinear excursions of particles in ideal 2D flows

Hassan Aref, Johan Rønby Pedersen, Mark A. Stremler, Laust Emil Hjerrild Tophøj

Research output: Contribution to journalJournal articleResearchpeer-review

Abstract

A number of problems related to particle trajectories in ideal 2D flows are discussed. Both regular particle paths, corresponding to integrable dynamics, and irregular or chaotic paths may arise. Examples of both types are shown. Sometimes, in the same flow, certain particles will follow regular paths while others follow irregular paths. Even in the chaotic region the amount of regularity or irregularity of a path depends on initial conditions and system parameters. The notion of a transported fluid region or “atmosphere” is mentioned. Various conclusions, ideas and queries are formulated based on the examples given. The intimate mix of regular and chaotic trajectories complicates a purely Lagrangian approach to fluid flow problems.
Original languageEnglish
JournalPhysica D: Nonlinear Phenomena
Volume240
Issue number2
Pages (from-to)199-207
ISSN0167-2789
DOIs
Publication statusPublished - 2010

Keywords

  • Rigid body
  • Particle motion
  • Chaos
  • Point vortex
  • Ideal flow

Cite this

Aref, H., Pedersen, J. R., Stremler, M. A., & Tophøj, L. E. H. (2010). Nonlinear excursions of particles in ideal 2D flows. Physica D: Nonlinear Phenomena, 240(2), 199-207. https://doi.org/10.1016/j.physd.2010.08.007
Aref, Hassan ; Pedersen, Johan Rønby ; Stremler, Mark A. ; Tophøj, Laust Emil Hjerrild. / Nonlinear excursions of particles in ideal 2D flows. In: Physica D: Nonlinear Phenomena. 2010 ; Vol. 240, No. 2. pp. 199-207.
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Aref, H, Pedersen, JR, Stremler, MA & Tophøj, LEH 2010, 'Nonlinear excursions of particles in ideal 2D flows', Physica D: Nonlinear Phenomena, vol. 240, no. 2, pp. 199-207. https://doi.org/10.1016/j.physd.2010.08.007

Nonlinear excursions of particles in ideal 2D flows. / Aref, Hassan; Pedersen, Johan Rønby; Stremler, Mark A.; Tophøj, Laust Emil Hjerrild.

In: Physica D: Nonlinear Phenomena, Vol. 240, No. 2, 2010, p. 199-207.

Research output: Contribution to journalJournal articleResearchpeer-review

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T1 - Nonlinear excursions of particles in ideal 2D flows

AU - Aref, Hassan

AU - Pedersen, Johan Rønby

AU - Stremler, Mark A.

AU - Tophøj, Laust Emil Hjerrild

PY - 2010

Y1 - 2010

N2 - A number of problems related to particle trajectories in ideal 2D flows are discussed. Both regular particle paths, corresponding to integrable dynamics, and irregular or chaotic paths may arise. Examples of both types are shown. Sometimes, in the same flow, certain particles will follow regular paths while others follow irregular paths. Even in the chaotic region the amount of regularity or irregularity of a path depends on initial conditions and system parameters. The notion of a transported fluid region or “atmosphere” is mentioned. Various conclusions, ideas and queries are formulated based on the examples given. The intimate mix of regular and chaotic trajectories complicates a purely Lagrangian approach to fluid flow problems.

AB - A number of problems related to particle trajectories in ideal 2D flows are discussed. Both regular particle paths, corresponding to integrable dynamics, and irregular or chaotic paths may arise. Examples of both types are shown. Sometimes, in the same flow, certain particles will follow regular paths while others follow irregular paths. Even in the chaotic region the amount of regularity or irregularity of a path depends on initial conditions and system parameters. The notion of a transported fluid region or “atmosphere” is mentioned. Various conclusions, ideas and queries are formulated based on the examples given. The intimate mix of regular and chaotic trajectories complicates a purely Lagrangian approach to fluid flow problems.

KW - Rigid body

KW - Particle motion

KW - Chaos

KW - Point vortex

KW - Ideal flow

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DO - 10.1016/j.physd.2010.08.007

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