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

Low-dimensional representations of exact coherent states of the Navier-Stokes equations from the resolvent model of wall turbulence
Low-dimensional representations of exact coherent states of the Navier-Stokes equations from the resolvent model of wall turbulence
We report that many exact invariant solutions of the Navier-Stokes equations for both pipe and channel flows are well represented by just few modes of the model of McKeon & Sharma J. Fl. Mech. 658, 356 (2010). 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.
1539-3755
1-7
Sharma, A.
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Moarref, R.
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McKeon, B.
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Park, J.S.
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Graham, M.D.
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Willis, A.
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Sharma, A.
cdd9deae-6f3a-40d9-864c-76baf85d8718
Moarref, R.
5f671bcc-1836-4642-a2f9-c9f122e8477c
McKeon, B.
52abf3bf-13fa-4acb-bd18-8a5bdc4bb2e6
Park, J.S.
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Graham, M.D.
29527a0f-6f6d-45ff-b32f-be91e5cc862e
Willis, A.
468d0c0f-cf8c-4163-bd79-875d88e4bb24

Sharma, A., Moarref, R., McKeon, B., Park, J.S., Graham, M.D. and Willis, A. (2016) Low-dimensional representations of exact coherent states of the Navier-Stokes equations from the resolvent model of wall turbulence. Physical Review E, 93, 1-7. (doi:10.1103/PhysRevE.93.021102).

Record type: Article

Abstract

We report that many exact invariant solutions of the Navier-Stokes equations for both pipe and channel flows are well represented by just few modes of the model of McKeon & Sharma J. Fl. Mech. 658, 356 (2010). 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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More information

Accepted/In Press date: 25 January 2016
e-pub ahead of print date: 19 February 2016
Published date: February 2016
Organisations: Aeronautics, Astronautics & Comp. Eng, Faculty of Engineering and the Environment

Identifiers

Local EPrints ID: 388026
URI: https://eprints.soton.ac.uk/id/eprint/388026
ISSN: 1539-3755
PURE UUID: 95143a62-47c8-4e90-89b1-5d3f4b4ee0fc
ORCID for A. Sharma: ORCID iD orcid.org/0000-0002-7170-1627

Catalogue record

Date deposited: 17 Feb 2016 16:30
Last modified: 06 Jun 2018 12:25

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