Please use this identifier to cite or link to this item: http://hdl.handle.net/2440/118062
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Type: Journal article
Title: Local linearity, coherent structures, and scale-to-scale coupling in turbulent flow
Author: Fang, L.
Balasuriya, S.
Ouellette, N.
Citation: Physical Review Fluids, 2019; 4(1)
Publisher: American Physical Society
Issue Date: 2019
ISSN: 2469-990X
2469-990X
Statement of
Responsibility: 
Lei Fang, Sanjeeva Balasuriya and Nicholas T. Ouellette
Abstract: Turbulent and other nonlinear flows are highly complex and time dependent, but are not fully random. To capture this spatiotemporal coherence, we introduce the idea of a linear neighborhood, defined as a region in an arbitrary flow field where the velocity gradient varies slowly in space over a finite time. Thus, by definition, the flow in a linear neighborhood can be approximated arbitrarily well by only a subset of the fluid-element trajectories inside it. This slow spatiotemporal variation also allows short-time prediction of the flow. We demonstrate that these linear neighborhoods are computable in real data using experimental measurements from a quasi-two-dimensional turbulent flow and find support for our theoretical arguments. We also show that our kinematically defined linear neighborhoods have an additional dynamical significance, in that the scale-to-scale spectral energy flux that is a hallmark of turbulent flows behaves differently inside the neighborhoods. Our results add additional support to the conjecture that turbulent flows locally tend to transport energy and momentum in space or in scale but not both simultaneously.
Rights: © 2019 American Physical Society
RMID: 0030107599
DOI: 10.1103/PhysRevFluids.4.014501
Grant ID: http://purl.org/au-research/grants/arc/FT130100484
http://purl.org/au-research/grants/arc/DP170100277
Appears in Collections:Mathematical Sciences publications

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