Low-dimensional representations of exact coherent states of the Navier-Stokes equations from the resolvent model of wall turbulence

Ati S. Sharma, Rashad Moarref, Beverley J. McKeon, Jae Sung Park, Michael D. Graham, Ashley P. Willis

Research output: Contribution to journalArticle

9 Scopus citations


We report that many exact invariant solutions of the Navier-Stokes equations for both pipe and channel flows are well represented by just a few modes of the model of McKeon and Sharma [J. Fluid Mech. 658, 336 (2010)JFLSA70022-112010.1017/S002211201000176X]. This model provides modes that act as a basis to decompose the velocity field, ordered by their amplitude of response to forcing arising from the interaction between scales. The model was originally derived from the Navier-Stokes equations to represent turbulent flows and has been used to explain coherent structure and to predict turbulent statistics. This establishes a surprising new link between the two distinct approaches to understanding turbulence.

Original languageEnglish (US)
Article number021102
JournalPhysical Review E
Issue number2
Publication statusPublished - Feb 19 2016


ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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