HAL will be down for maintenance from Friday, June 10 at 4pm through Monday, June 13 at 9am. More information
Skip to Main content Skip to Navigation
Journal articles

A Fourier approach to Lagrangian vortex detection

Abstract : We study the transport properties of coherent vortices over a finite time duration. Here we reveal that such vortices can be identified based on frequency-domain representation of Lagrangian trajectories. We use Fourier analysis to convert particles' trajectories from their time domain to a presentation in the frequency domain. We then identify and extract coherent vortices as material surfaces along which particles' trajectories share similar frequencies. Our method identifies all coherent vortices in an automatic manner, showing high vortices' monitoring capacity. We illustrate our new method by identifying and extracting Lagrangian coherent vortices in different two-and three-dimensional flows.
Complete list of metadata

Cited literature [25 references]  Display  Hide  Download

Contributor : Anass El Aouni Connect in order to contact the contributor
Submitted on : Friday, September 6, 2019 - 10:39:45 AM
Last modification on : Monday, May 25, 2020 - 4:12:07 PM
Long-term archiving on: : Thursday, February 6, 2020 - 12:10:41 PM


Files produced by the author(s)




Anass El Aouni, Hussein Yahia, Khalid Daoudi, Khalid Minaoui. A Fourier approach to Lagrangian vortex detection. Chaos: An Interdisciplinary Journal of Nonlinear Science, American Institute of Physics, 2019, 29 (9), pp.093106. ⟨10.1063/1.5115996⟩. ⟨hal-02280186⟩



Record views


Files downloads