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

7 Citations (Scopus)

Abstract

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
Volume93
Issue number2
DOIs
StatePublished - Feb 19 2016

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Coherent States
Resolvent
Navier-Stokes equation
Turbulence
Navier-Stokes Equations
turbulence
Pipe Flow
Invariant Solutions
pipe flow
Coherent Structures
Channel Flow
channel flow
Turbulent Flow
turbulent flow
Velocity Field
Forcing
velocity distribution
statistics
Model
Statistics

ASJC Scopus subject areas

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

Cite this

Low-dimensional representations of exact coherent states of the Navier-Stokes equations from the resolvent model of wall turbulence. / Sharma, Ati S.; Moarref, Rashad; McKeon, Beverley J.; Park, Jae Sung; Graham, Michael D.; Willis, Ashley P.

In: Physical Review E, Vol. 93, No. 2, 021102, 19.02.2016.

Research output: Contribution to journalArticle

Sharma, Ati S. ; Moarref, Rashad ; McKeon, Beverley J. ; Park, Jae Sung ; Graham, Michael D. ; Willis, Ashley P. / Low-dimensional representations of exact coherent states of the Navier-Stokes equations from the resolvent model of wall turbulence. In: Physical Review E. 2016 ; Vol. 93, No. 2.
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