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A Fourier approach to Lagrangian vortex detection
Anass El Aouni1, Hussein Yahia1, Khalid Daoudi1
1Geostat Team, INRIA Bordeaux Sud-Ouest, 33400 Talence, France.
Chaos (Woodbury, N.Y.)
|October 3, 2019
Summary
Researchers developed a new method to track fluid flow structures called coherent vortices using frequency analysis of particle paths. This technique automatically identifies and monitors these important features in complex flows.
Area of Science:
- Fluid dynamics
- Chaos theory
- Data analysis
Background:
- Coherent vortices are key structures in fluid transport.
- Understanding their dynamics is crucial for various scientific fields.
- Existing methods for vortex identification can be limited.
Purpose of the Study:
- To develop an automated method for identifying and extracting coherent vortices.
- To analyze the transport properties of coherent vortices over finite durations.
- To leverage frequency-domain analysis of particle trajectories for vortex identification.
Main Methods:
- Utilizing Fourier analysis to transform Lagrangian trajectories from the time domain to the frequency domain.
- Identifying coherent vortices as material surfaces where particle trajectories exhibit similar frequencies.
- Applying the method to various 2D and 3D flow scenarios.
Main Results:
- Successfully identified and extracted coherent vortices using frequency-domain analysis.
- Demonstrated the method's capacity for comprehensive vortex monitoring.
- Validated the approach across diverse two- and three-dimensional flow configurations.
Conclusions:
- Frequency-domain analysis of Lagrangian trajectories provides an effective means for identifying coherent vortices.
- The developed method offers an automated and robust approach to vortex tracking.
- This technique enhances the study of transport properties in fluid systems.
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