Role of the forcing dimensionality in thin-layer turbulent energy cascades

We investigate the transition from forward to inverse energy cascade in turbulent flows in thin layers, varying the functional form of the forcing and the thickness of the layer. We show that, as the forcing function becomes more three-dimensional, the inverse cascade is suppressed and the critical...

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Bibliographic Details
Published in:arXiv.org 2020-03
Main Authors: Basile Poujol, Adrian van Kan, Alexakis, Alexandros
Format: Article
Language:English
Subjects:
Fluid dynamics
Fluid flow
Parameters
Reynolds number
Thickness
Thin films
Online Access:Get full text
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Summary:We investigate the transition from forward to inverse energy cascade in turbulent flows in thin layers, varying the functional form of the forcing and the thickness of the layer. We show that, as the forcing function becomes more three-dimensional, the inverse cascade is suppressed and the critical height hc, where the transition occurs, is decreased. We study the dependence of this critical height on a parameter r which measures the dimensionality of the forcing and thus construct a phase space diagram in the parameter space r-h. We discuss the effect of Reynolds number and domain size.
ISSN:2331-8422
DOI:10.48550/arxiv.2003.11485