Large-scale sweeping of small-scale eddies in turbulence: A filtering approach

Theodore D. Drivas, Perry L. Johnson, Cristian C. Lalescu, Michael Wilczek

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


We present an analysis of the Navier-Stokes equations based on a spatial filtering technique to elucidate the multiscale nature of fully developed turbulence. In particular, the advection of a band-pass-filtered small-scale contribution by larger scales is considered, and rigorous upper bounds are established for the various dynamically active scales. The analytical predictions are confirmed with direct numerical simulation data. The results are discussed with respect to the establishment of effective large-scale equations valid for turbulent flows.

Original languageEnglish (US)
Article number104603
JournalPhysical Review Fluids
Issue number10
StatePublished - Oct 2017

All Science Journal Classification (ASJC) codes

  • Computational Mechanics
  • Modeling and Simulation
  • Fluid Flow and Transfer Processes


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