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

doi:10.1103/PhysRevE.93.021102

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 journal › Article › peer-review

21 Scopus citations

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 language	English (US)
Article number	021102
Journal	Physical Review E
Volume	93
Issue number	2
DOIs	https://doi.org/10.1103/PhysRevE.93.021102
State	Published - Feb 19 2016
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Statistics and Probability
Condensed Matter Physics

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

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.",

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AU - Sharma, Ati S.

AU - Moarref, Rashad

AU - McKeon, Beverley J.

AU - Park, Jae Sung

AU - Graham, Michael D.

AU - Willis, Ashley P.

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AB - 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.

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

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