Structure identification in pipe flow using proper orthogonal decomposition

Leo H.O. Hellström, Alexander J. Smits

Research output: Contribution to journalArticlepeer-review

25 Scopus citations


The energetic motions in direct numerical simulations of turbulent pipe flow at Reτ = 685 are investigated using proper orthogonal decomposition. The procedure is extended such that a pressure component is identified in addition to the three-component velocity field for each mode. The pressure component of the modes is shown to align with the streamwise velocity component associated with the large-scale motions, where positive pressure coincides with positive streamwise velocity, and vice versa. The streamwise evolution of structures is then visualized using a conditional mode, which exhibit a strong similarity to the large-scale, low-momentum motions. A low-pressure region is present in the downstream section of the structure, and a high-pressure region is present in the upstream section.

Original languageEnglish (US)
Article number20160086
JournalPhilosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
Issue number2089
StatePublished - Mar 13 2017

All Science Journal Classification (ASJC) codes

  • Engineering(all)
  • Physics and Astronomy(all)
  • Mathematics(all)


  • Coherent structures
  • Turbulence
  • Wall bounded flow


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