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Identification and analysis of very-large-scale turbulent motions using multiscale proper orthogonal decomposition

Cheng Chi* and Dominique Thévenin

Alexander J. Smits

Steve Wolligandt and Holger Theisel

  • Laboratory of Fluid Dynamics and Technical Flows, University of Magdeburg “Otto von Guericke,” D-39106 Magdeburg, Germany

  • Department of Mechanical and Aerospace Engineering, Princeton University, Princeton, New Jersey 08544, USA

  • Faculty of Computer Science, University of Magdeburg “Otto von Guericke,” D-39106 Magdeburg, Germany

  • *cheng.chi@ovgu.de
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Phys. Rev. Fluids 7, 084603 – Published 15 August, 2022

DOI: https://doi.org/10.1103/PhysRevFluids.7.084603

Abstract

To identify and characterize very-large-scale motions (VLSM) in turbulent channel flows, direct numerical simulations are performed at Reτ=906 and 3216. The turbulence structure is then analyzed by proper orthogonal decomposition (POD) and multiscale POD (mPOD). Unlike POD, mPOD is able to distinguish the most energetic modes at selected scales (or frequencies) by imposing spectral cutoffs to separate VLSM, large-scale motions (LSM), and small-scale motions. The VLSM can be clearly visualized from the most energetic spatial modes of the mPOD analysis at both Reynolds numbers. The mPOD results identify a new energetic mode that is aligned in the streamwise direction with a characteristic length covering the whole domain length. This new mode (called eVLSM mode) contains substantial energy, making it an important component of the VLSM in the flow field. The other energetic modes typically appear in pairs with specific streamwise phase shifts. The large-scale structures (apart from eVLSM) are inclined to the streamwise direction and appear to be responsible for the typical meandering behavior or even for the breakup of VLSM.

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Phys. Rev. Fluids 7, 084603– Published 15 August, 2022
  • Received 15 April 2022
  • Accepted 2 August 2022
Article part of CHORUS
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