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Master-mode set of turbulent 3D channel flow

Master-mode set of turbulent 3D channel flow
Master-mode set of turbulent 3D channel flow
Turbulent flow fields can be expanded into a series in a set of basic functions. Theterms of such series are often called modes. A master-mode-set is a subset of these modes, the time-history of which uniquely determines the time history of the entire turbulent flow provided that this flow is developed. In the present work the existence of the master-mode-set is demonstrated numerically for turbulent channel flow. The minimal size of a master-mode set and the rate of the process of the recovery of the entire flow from the master-mode set history are estimated. The velocity field corresponding to the minimal master-mode set is found to be a good approximation for mean velocity in the entire flow field. Mean characteristics involving velocity derivatives deviate in a very close vicinity to the wall, while master-mode two-point correlations exhibit unrealistic oscillations. This can be improved by using a larger than minimal master-mode set. The near-wall streaks are found to be contained in the velocity field corresponding to the minimal master-mode set, and the same is true at least for the large-scale part of the longitudinal vorticity structure. A database containing the time history of a master-mode set is demonstrated to be an efficient tool for investigating rare events in turbulent flows. In particular, a travelling-wave-like object was identified on the basis of the analysis of the database. Two master-mode-set databases of the time history of a turbulent channel flow are made available online at http://www.dnsdata.afm.ses.soton.ac.uk/. The services provided include the facility for the code uploaded by a user to be run on the server with an access to the data.
Bondarenko, Maksym
5dc51584-fc49-4074-95f0-277d7bc0c379
Bondarenko, Maksym
5dc51584-fc49-4074-95f0-277d7bc0c379
Chernyshenko, Sergei
c6156407-9939-467b-ae41-737330b678cb

Bondarenko, Maksym (2008) Master-mode set of turbulent 3D channel flow. University of Southampton, School of Engineering Sciences, Doctoral Thesis, 137pp.

Record type: Thesis (Doctoral)

Abstract

Turbulent flow fields can be expanded into a series in a set of basic functions. Theterms of such series are often called modes. A master-mode-set is a subset of these modes, the time-history of which uniquely determines the time history of the entire turbulent flow provided that this flow is developed. In the present work the existence of the master-mode-set is demonstrated numerically for turbulent channel flow. The minimal size of a master-mode set and the rate of the process of the recovery of the entire flow from the master-mode set history are estimated. The velocity field corresponding to the minimal master-mode set is found to be a good approximation for mean velocity in the entire flow field. Mean characteristics involving velocity derivatives deviate in a very close vicinity to the wall, while master-mode two-point correlations exhibit unrealistic oscillations. This can be improved by using a larger than minimal master-mode set. The near-wall streaks are found to be contained in the velocity field corresponding to the minimal master-mode set, and the same is true at least for the large-scale part of the longitudinal vorticity structure. A database containing the time history of a master-mode set is demonstrated to be an efficient tool for investigating rare events in turbulent flows. In particular, a travelling-wave-like object was identified on the basis of the analysis of the database. Two master-mode-set databases of the time history of a turbulent channel flow are made available online at http://www.dnsdata.afm.ses.soton.ac.uk/. The services provided include the facility for the code uploaded by a user to be run on the server with an access to the data.

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Published date: April 2008
Organisations: University of Southampton

Identifiers

Local EPrints ID: 66080
URI: https://eprints.soton.ac.uk/id/eprint/66080
PURE UUID: 3036d979-ec19-48a2-ace8-4de547d099fe

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Date deposited: 28 Apr 2009
Last modified: 13 Jul 2018 16:32

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Contributors

Author: Maksym Bondarenko
Thesis advisor: Sergei Chernyshenko

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