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Evolution of the velocity gradient tensor invariant dynamics in a turbulent boundary layer

Evolution of the velocity gradient tensor invariant dynamics in a turbulent boundary layer
Evolution of the velocity gradient tensor invariant dynamics in a turbulent boundary layer
In order to improve the physical understanding of the development of turbulent structures, the compressible evolution equations for the first three invariants P,Q and R of the velocity gradient tensor have been derived. The mean evolution of characteristic turbulent structure types were studied and compared at different wall-normal locations of a compressible turbulent boundary layer. The evolution of these structure types are fundamental to the physics that need to be captured by turbulence models. Significant variations of the mean evolution are found. The key features of the changes of the mean trajectories in the invariant phase space are highlighted and the consequences of the changes are discussed. Further, the individual elements of the overall evolution are studied separately to identify the causes that lead to the evolution varying with the distance to the wall. Significant impact of the wall-normal location on the coupling between the pressure-Hessian tensor and the velocity gradient tensor was found.
0022-1120
BECHLARS, PATRICK
359b0692-5a1a-40ba-8ab1-4353fb8791af
Sandberg, Richard
41d03f60-5d12-4f2d-a40a-8ff89ef01cfa
BECHLARS, PATRICK
359b0692-5a1a-40ba-8ab1-4353fb8791af
Sandberg, Richard
41d03f60-5d12-4f2d-a40a-8ff89ef01cfa

BECHLARS, PATRICK and Sandberg, Richard (2017) Evolution of the velocity gradient tensor invariant dynamics in a turbulent boundary layer. Journal of Fluid Mechanics, 815. (doi:10.1017/jfm.2017.40).

Record type: Article

Abstract

In order to improve the physical understanding of the development of turbulent structures, the compressible evolution equations for the first three invariants P,Q and R of the velocity gradient tensor have been derived. The mean evolution of characteristic turbulent structure types were studied and compared at different wall-normal locations of a compressible turbulent boundary layer. The evolution of these structure types are fundamental to the physics that need to be captured by turbulence models. Significant variations of the mean evolution are found. The key features of the changes of the mean trajectories in the invariant phase space are highlighted and the consequences of the changes are discussed. Further, the individual elements of the overall evolution are studied separately to identify the causes that lead to the evolution varying with the distance to the wall. Significant impact of the wall-normal location on the coupling between the pressure-Hessian tensor and the velocity gradient tensor was found.

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Accepted/In Press date: 29 December 2016
e-pub ahead of print date: 20 February 2017
Published date: March 2017
Organisations: Aeronautics, Astronautics & Comp. Eng

Identifiers

Local EPrints ID: 407423
URI: http://eprints.soton.ac.uk/id/eprint/407423
ISSN: 0022-1120
PURE UUID: 05703bbf-5890-4815-a61d-85c53164e344
ORCID for Richard Sandberg: ORCID iD orcid.org/0000-0001-5199-3944

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Date deposited: 07 Apr 2017 01:03
Last modified: 17 Dec 2019 06:14

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