Dual local and non-local cascades in 3D turbulent Beltrami flows
E. Herbert, F. Daviaud, B. Dubrulle, S. Nazarenko, A. Naso
TL;DR
This paper explores the coexistence of local and non-local energy and helicity cascades in 3D turbulent Beltrami flows, drawing parallels with 2D turbulence and analyzing energy spectra through theoretical and experimental comparisons.
Contribution
It introduces the concept of dual cascades in 3D Beltrami flows and discusses their spectral characteristics, supported by comparison with high Reynolds number turbulence data.
Findings
Inverse energy cascade observed in Beltrami flows
Direct helicity cascade identified in the same flows
Spectral analysis aligns with theoretical predictions
Abstract
We discuss the possibility of dual local and non-local cascades in a 3D turbulent Beltrami flow, with inverse energy cascade and direct helicity cascade, by analogy with 2D turbulence. We discuss the corresponding energy spectrum in both local and non-local case. Comparison with a high Reynolds number turbulent von Karman flow is provided and discussed.
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Taxonomy
TopicsFluid Dynamics and Turbulent Flows · Heat Transfer Mechanisms · Fluid Dynamics and Vibration Analysis