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


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
Issue number2
Pages (from-to)199-207
Publication statusPublished - 2010


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


Dive into the research topics of 'Nonlinear excursions of particles in ideal 2D flows'. Together they form a unique fingerprint.

Cite this