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Spatial and spectral characteristics of information flux between turbulent boundary layers and porous media

Published online by Cambridge University Press:  23 September 2022

Wenkang Wang Open the ORCID record for Wenkang Wang [Opens in a new window] ,
Adrián Lozano-Durán Open the ORCID record for Adrián Lozano-Durán [Opens in a new window] ,
Rainer Helmig  and
Xu Chu Open the ORCID record for Xu Chu [Opens in a new window]
Wenkang Wang
Affiliation:
Max Planck Institute for Intelligent Systems, 70569 Stuttgart, Germany Institute for Modelling Hydraulic and Environmental Systems , University of Stuttgart, 70569 Stuttgart, Germany
Adrián Lozano-Durán
Affiliation:
Department of Aeronautics and Astronautics, Massachusetts Institute of Technology, Cambridge, MA 021139, USA
Rainer Helmig
Affiliation:
Institute for Modelling Hydraulic and Environmental Systems , University of Stuttgart, 70569 Stuttgart, Germany
Xu Chu*
Affiliation:
Cluster of Excellence SimTech, University of Stuttgart, 70569 Stuttgart, Germany
*
†Email address for correspondence: [email protected]
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Abstract

The interaction between boundary layer turbulence and a porous layer is the cornerstone of interface engineering. In this study, the spatial and spectral-resolved transfer entropy is used to assess the asymmetry of the causal interaction next to the permeable wall. The analysis is based on pore-resolved direct numerical simulation of turbulent channel flow over cylinder arrays. The spatial map of transfer entropy reveals the information flux between the porous medium and arbitrary nearby positions, and paths connecting locations with maximum information transfer are identified. The paths in the ‘top-down’ and ‘bottom-up’ directions, respectively, lean upstream and downstream, demonstrating that the coupling process is directionally dependent. The scale dependence of transfer entropy is inspected with a surrogate data strategy. As wall permeability increases, the active scale range in causal interaction shifts from near-wall vortices to Kelvin–Helmholtz type eddies. In addition, linear stochastic estimation is used to determine the statistical velocity field for a local informative event. In an average sense, the interaction between a convecting sweep or ejection event and the up/down-welling motions at the pore unit is the core mechanism that contributes to the causal coupling. The statistical findings derived from the transfer entropy are then validated using a neural network-based remote sensing model.

JFM classification

Turbulent Flows: Turbulent boundary layers Low-Reynolds-number flows: Porous media
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 949 , 25 October 2022 , A16
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Copyright
© The Author(s), 2022. Published by Cambridge University Press

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