A critical comparison of Lagrangian methods for coherent structure detection

Chaos - Tập 27 Số 5 - 2017
Alireza Hadjighasem1, Mohammad Farazmand1, Daniel Blazevski2, Gary Froyland3, George Haller4
1MIT 1 Department of Mechanical Engineering, , 77 Massachusetts Ave., Cambridge, Massachusetts 02139, USA
2Insight Data Science 2 , 45W 25th St., New York, New York 10010, USA
3University of New South Wales 3 School of Mathematics and Statistics, , Sydney, NSW 2052, Australia
4Institute of Mechanical Systems 4 Department of Mechanical and Process Engineering, , ETH Zürich, Leonhardstrasse 21, 8092 Zürich, Switzerland

Tóm tắt

We review and test twelve different approaches to the detection of finite-time coherent material structures in two-dimensional, temporally aperiodic flows. We consider both mathematical methods and diagnostic scalar fields, comparing their performance on three benchmark examples: the quasiperiodically forced Bickley jet, a two-dimensional turbulence simulation, and an observational wind velocity field from Jupiter's atmosphere. A close inspection of the results reveals that the various methods often produce very different predictions for coherent structures, once they are evaluated beyond heuristic visual assessment. As we find by passive advection of the coherent set candidates, false positives and negatives can be produced even by some of the mathematically justified methods due to the ineffectiveness of their underlying coherence principles in certain flow configurations. We summarize the inferred strengths and weaknesses of each method, and make general recommendations for minimal self-consistency requirements that any Lagrangian coherence detection technique should satisfy.

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Tập 27 Số 5

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