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Eulerian spectrum of finite-time Lyapunov exponents in compound channels
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AbstractFluid flows reveal a wealth of structures, such as vortices and barriers to transport. Usually, either an Eulerian or a Lagrangian frame of reference is employed in order to detect such features of the flow. However, the two frameworks detect structures that have different properties. Indeed, common Eulerian diagnostics (Hua-Klein and Okubo-Weiss criterion) employed in order to detect vortices do not always agree with Lagrangian diagnostics such as finite-time Lyapunov exponents. Besides, the former are Galilean-invariant whereas the latter is objective. However, both the Lagrangian and the Eulerian approaches to coherent structure detection must show some links under any inertial-frame. Compound channels flows have been accurately studied in the past, both from a Lagrangian and an Eulerian point of view. The features detected do not superimpose: Eulerian vortices do not coincide with barriers to transport. The missing link between the two approaches is here recovered thanks to a spectral analysis.
Springer Science and Business Media LLC
Title: Eulerian spectrum of finite-time Lyapunov exponents in compound channels
Description:
AbstractFluid flows reveal a wealth of structures, such as vortices and barriers to transport.
Usually, either an Eulerian or a Lagrangian frame of reference is employed in order to detect such features of the flow.
However, the two frameworks detect structures that have different properties.
Indeed, common Eulerian diagnostics (Hua-Klein and Okubo-Weiss criterion) employed in order to detect vortices do not always agree with Lagrangian diagnostics such as finite-time Lyapunov exponents.
Besides, the former are Galilean-invariant whereas the latter is objective.
However, both the Lagrangian and the Eulerian approaches to coherent structure detection must show some links under any inertial-frame.
Compound channels flows have been accurately studied in the past, both from a Lagrangian and an Eulerian point of view.
The features detected do not superimpose: Eulerian vortices do not coincide with barriers to transport.
The missing link between the two approaches is here recovered thanks to a spectral analysis.
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