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Coherent structure-based approach to modeling wall turbulence

Dennice F. Gayme and Benjamin A. Minnick

  • Johns Hopkins University, Baltimore, Maryland 21218, USA

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Phys. Rev. Fluids 4, 110505 – Published 18 November, 2019

DOI: https://doi.org/10.1103/PhysRevFluids.4.110505

Abstract

Coherent structures in the form of streamwise elongated streaks and vortices play a key role in energy growth, momentum transfer, and the self-sustaining processes underlying wall-bounded turbulent flow. A wide range of conceptual and physics-based models have been employed to analyze the role of these structures. This article focuses on the restricted nonlinear (RNL) modeling framework, a physics-based approach that simplifies the flow representation based on the dominance of streamwise coherent structures. This model is formed by decomposing the Navier-Stokes (NS) equations into a streamwise constant (averaged) mean flow and perturbations about that mean. Order reduction is then obtained through a dynamical restriction of the nonlinear interactions between the perturbations. We review the success of this model in reproducing statistical and spectral properties of wall-bounded turbulent flows at moderate Reynolds numbers and within a large-eddy simulation (LES) framework in the limit of infinite Reynolds number. An analysis of energy transfer in half-channel RNL flow highlights the critical nonlinearity and scale interactions necessary to sustain turbulence at moderate Reynolds numbers. Our results also indicate that the fundamental properties of wall-bounded turbulence such as skin friction drag are robust to dynamical restrictions of streamwise-varying interactions, which may lend to the difficulty in controlling these flows. The article concludes with a discussion of ongoing challenges for the RNL model and the need to unify existing approaches to meet the challenges of characterizing and controlling high-Reynolds number wall turbulence.

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2019 Invited Papers

Physical Review Fluids publishes a collection of papers associated with the invited talks presented at the 71st Annual Meeting of the APS Division of Fluid Dynamics.

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Phys. Rev. Fluids 4, 110505– Published 18 November, 2019
  • Received 4 August 2019
Article part of CHORUS
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