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Analysis of spatiotemporal inner-outer large-scale interactions in turbulent channel flow by multivariate empirical mode decomposition

Esther Mäteling* and Wolfgang Schröder

  • RWTH Aachen University, Chair of Fluid Mechanics and Institute of Aerodynamics, 52062 Aachen, Germany

  • *Corresponding author: e.maeteling@aia.rwth-aachen.de
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Phys. Rev. Fluids 7, 034603 – Published 15 March, 2022

DOI: https://doi.org/10.1103/PhysRevFluids.7.034603

Abstract

Research in the last decades has shown a strong interaction between near-wall turbulence and outer-layer large-scale motions in turbulent wall-bounded flows. In this paper, we propose a spatiotemporal multivariate approach based on state-of-the art methods of signal processing and a significantly enlarged data base to provide insight into the inner-outer interaction via superposition, bursts, and amplitude modulation. Spatially resolved, two-dimensional velocity fields within the viscous sublayer and the log layer are used to study spatial interactions. The temporal information provides insight into the temporal evolution of these features. In contrast to traditional studies, a noise-assisted multivariate empirical mode decomposition is applied to determine the involved scales. In this method, all velocity components of one time instant are simultaneously decomposed, which preserves intercomponent relations in the modal representations. In addition, the noise assistance ensures a temporal coherence of the resulting modes. Intermode comparisons, and thus the inner-outer interaction analysis, significantly benefit from this mode alignment by more precise findings, which is verified by comparisons with the univariate empirical mode decomposition results. The analysis reveals a considerable time-dependent behavior of the interaction phenomena with respect to the inner-outer correlation and the associated inclination angle. Regarding the superposition and the sweeps, the temporal variations are strongly linked to the rates of high-speed large scales to total large-scale fluctuations. The comparison to findings from purely temporal signals demonstrates distinct differences.

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Phys. Rev. Fluids 7, 034603– Published 15 March, 2022
  • Received 20 October 2021
  • Accepted 25 February 2022
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