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Testing of Reynolds-stress-transport closures by comparison with DNS of an idealized adverse-pressure-gradient boundary layer

Testing of Reynolds-stress-transport closures by comparison with DNS of an idealized adverse-pressure-gradient boundary layer
Testing of Reynolds-stress-transport closures by comparison with DNS of an idealized adverse-pressure-gradient boundary layer
Results are used from direct numerical simulation (DNS) of incompressible plane-channel flow subjected to a uniform straining field typical of a two-dimensional adverse pressure gradient (APG) to investigate the accuracy of three second-moment closures specially designed to account for wall-bounded turbulence. Since the DNS statistics satisfy a one-dimensional unsteady problem with rigorously defined boundary and initial conditions, and since the flow contains many of the essential features found in suddenly decelerated boundary layers, this allows an efficient and straightforward but nontrivial assessment of the closures. The Reynolds-stress budgets from the DNS are used to examine the individual production/dissipation/transport terms used by each closure. This reveals shortcomings in all three schemes, especially in the near-wall behavior of their pressure-strain models. One of the major findings of this study is the degree to which the individual modeling shortcomings are offset by the tendency for them to cancel each other. The Wilcox Stress-omega model best captures the cumulative effect of the APG straining, compared to the models of Launder & Shima and So et al., in terms of giving mean velocities and the time at which the surface shear stress reverses sign that most closely agree with the DNS. However, its prediction of the streamwise and wall-normal Reynolds stresses is much less accurate than that given by the other two schemes.
0997-7546
551-582
Sciberras, M.A.
a8b8b96d-ae0c-4ee7-b85a-59561f917d35
Coleman, G.N.
ea3639b9-c533-40d7-9edc-3c61246b06e0
Sciberras, M.A.
a8b8b96d-ae0c-4ee7-b85a-59561f917d35
Coleman, G.N.
ea3639b9-c533-40d7-9edc-3c61246b06e0

Sciberras, M.A. and Coleman, G.N. (2007) Testing of Reynolds-stress-transport closures by comparison with DNS of an idealized adverse-pressure-gradient boundary layer. European Journal of Mechanics - B/Fluids, 26 (4), 551-582. (doi:10.1016/j.euromechflu.2006.11.001).

Record type: Article

Abstract

Results are used from direct numerical simulation (DNS) of incompressible plane-channel flow subjected to a uniform straining field typical of a two-dimensional adverse pressure gradient (APG) to investigate the accuracy of three second-moment closures specially designed to account for wall-bounded turbulence. Since the DNS statistics satisfy a one-dimensional unsteady problem with rigorously defined boundary and initial conditions, and since the flow contains many of the essential features found in suddenly decelerated boundary layers, this allows an efficient and straightforward but nontrivial assessment of the closures. The Reynolds-stress budgets from the DNS are used to examine the individual production/dissipation/transport terms used by each closure. This reveals shortcomings in all three schemes, especially in the near-wall behavior of their pressure-strain models. One of the major findings of this study is the degree to which the individual modeling shortcomings are offset by the tendency for them to cancel each other. The Wilcox Stress-omega model best captures the cumulative effect of the APG straining, compared to the models of Launder & Shima and So et al., in terms of giving mean velocities and the time at which the surface shear stress reverses sign that most closely agree with the DNS. However, its prediction of the streamwise and wall-normal Reynolds stresses is much less accurate than that given by the other two schemes.

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Submitted date: 5 May 2006
Published date: July 2007
Organisations: Aerodynamics & Flight Mechanics

Identifiers

Local EPrints ID: 42064
URI: http://eprints.soton.ac.uk/id/eprint/42064
ISSN: 0997-7546
PURE UUID: 9506f63c-df8e-4f57-9e70-c19b4b08d892

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Date deposited: 13 Nov 2006
Last modified: 15 Mar 2024 08:43

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Contributors

Author: M.A. Sciberras
Author: G.N. Coleman

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