Scaling and interaction of self-similar modes in models of high-Reynolds number wall turbulence
Scaling and interaction of self-similar modes in models of high-Reynolds number wall turbulence
Previous work has established the usefulness of the resolvent operator that maps the terms nonlinear in the turbulent fluctuations to the fluctuations themselves. Further work has described the selfsimilarity of the resolvent arising from that of the mean velocity profile. The orthogonal modes provided by the resolvent analysis describe the wall-normal coherence of the motions and inherit that self-similarity. In this contribution, we present the implications of this similarity for the nonlinear interaction between modes with different scales and wall-normal locations. By considering the nonlinear interactions between modes, it is shown that much of the turbulence scaling behaviour in the logarithmic region can be determined from a single arbitrarily chosen reference plane. Thus, the geometric scaling of the modes is impressed upon the nonlinear interaction between modes. Implications of these observations on the self-sustaining mechanisms of wall turbulence,modelling and simulation are outlined.
1-14
Sharma, A.S.
cdd9deae-6f3a-40d9-864c-76baf85d8718
Moarref, R.
5f671bcc-1836-4642-a2f9-c9f122e8477c
Mckeon, B.J.
2e685015-292a-42a7-8c9e-7cc27cf2da67
13 March 2017
Sharma, A.S.
cdd9deae-6f3a-40d9-864c-76baf85d8718
Moarref, R.
5f671bcc-1836-4642-a2f9-c9f122e8477c
Mckeon, B.J.
2e685015-292a-42a7-8c9e-7cc27cf2da67
Sharma, A.S., Moarref, R. and Mckeon, B.J.
(2017)
Scaling and interaction of self-similar modes in models of high-Reynolds number wall turbulence.
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 375 (2089), .
(doi:10.1098/rsta.2016.0089).
(PMID:28167582)
Abstract
Previous work has established the usefulness of the resolvent operator that maps the terms nonlinear in the turbulent fluctuations to the fluctuations themselves. Further work has described the selfsimilarity of the resolvent arising from that of the mean velocity profile. The orthogonal modes provided by the resolvent analysis describe the wall-normal coherence of the motions and inherit that self-similarity. In this contribution, we present the implications of this similarity for the nonlinear interaction between modes with different scales and wall-normal locations. By considering the nonlinear interactions between modes, it is shown that much of the turbulence scaling behaviour in the logarithmic region can be determined from a single arbitrarily chosen reference plane. Thus, the geometric scaling of the modes is impressed upon the nonlinear interaction between modes. Implications of these observations on the self-sustaining mechanisms of wall turbulence,modelling and simulation are outlined.
Text
Scaling and interaction of self-similar modes in models of high-Reynolds number wall turbulence .pdf
- Accepted Manuscript
More information
Accepted/In Press date: 13 September 2016
e-pub ahead of print date: 13 March 2017
Published date: 13 March 2017
Organisations:
Aerodynamics & Flight Mechanics Group
Identifiers
Local EPrints ID: 402214
URI: http://eprints.soton.ac.uk/id/eprint/402214
ISSN: 1364-503X
PURE UUID: 951d9eef-b5d4-4f89-a00b-23bb4e65f574
Catalogue record
Date deposited: 03 Nov 2016 09:48
Last modified: 15 Mar 2024 06:02
Export record
Altmetrics
Contributors
Author:
A.S. Sharma
Author:
R. Moarref
Author:
B.J. Mckeon
Download statistics
Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.
View more statistics