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A priori evaluations and least-squares optimizations of turbulence models for fully developed rotating turbulent channel flow
KTH, School of Engineering Sciences (SCI), Mechanics.
KTH, School of Engineering Sciences (SCI), Mechanics.ORCID iD: 0000-0001-8692-0956
KTH, School of Engineering Sciences (SCI), Mechanics.ORCID iD: 0000-0002-2711-4687
2008 (English)In: European journal of mechanics. B, Fluids, ISSN 0997-7546, E-ISSN 1873-7390, Vol. 27, no 2, 75-95 p.Article in journal (Refereed) Published
Abstract [en]

The present study involves a priori tests of pressure-strain and dissipation rate tensor models using data from direct numerical simulations (DNS) of fully developed turbulent channel flow with and without spanwise system rotation. Three different pressure-strain rate models are tested ranging from a simple quasi-linear model to a realizable fourth order model. The evaluations demonstrate the difficulties of developing RANS-models that accurately describe the flow for a wide range of rotation numbers. Furthermore, least-squares based tensor representations of the exact pressure-strain and dissipation rate tensors are derived point-wise in space. The relation obtained for the rapid pressure-strain rate is exact for general 2D mean flows. Hence, the corresponding distribution of the optimized coefficients show the ideal behaviour. The corresponding representations for the slow pressure-strain and dissipation rate tensors are incomplete but still optimal in a least-squares sense. On basis of the least-squares analysis it is argued that the part of the representation that is tensorially linear in the Reynolds stress anisotropy is the most important for these parts.

Place, publisher, year, edition, pages
2008. Vol. 27, no 2, 75-95 p.
Keyword [en]
a priori testing, turbulence model, least-squares method, channel flow
National Category
Fluid Mechanics and Acoustics
Identifiers
URN: urn:nbn:se:kth:diva-5413DOI: 10.1016/j.euromechflu.2007.03.001ISI: 000254116800001Scopus ID: 2-s2.0-38849191249OAI: oai:DiVA.org:kth-5413DiVA: diva2:9773
Note
QC 20100825Available from: 2006-03-08 Created: 2006-03-08 Last updated: 2017-11-21Bibliographically approved
In thesis
1. Modelling and simulation of turbulence subject to system rotation
Open this publication in new window or tab >>Modelling and simulation of turbulence subject to system rotation
2006 (English)Doctoral thesis, comprehensive summary (Other scientific)
Abstract [en]

Simulation and modelling of turbulent flows under influence of streamline curvature and system rotation have been considered. Direct numerical simulations have been performed for fully developed rotating turbulent channel flow using a pseudo-spectral code. The rotation numbers considered are larger than unity. For the range of rotation numbers studied, an increase in rotation number has a damping effect on the turbulence. DNS-data obtained from previous simulations are used to perform a priori tests of different pressure-strain and dissipation rate models. Furthermore, the ideal behaviour of the coefficients of different model formulations is investigated. The main part of the modelling is focused on explicit algebraic Reynolds stress models (EARSMs). An EARSM based on a pressure strain rate model including terms that are tensorially nonlinear in the mean velocity gradients is proposed. The new model is tested for a number of flows including a high-lift aeronautics application. The linear extensions are demonstrated to have a significant effect on the predictions. Representation techniques for EARSMs based on incomplete sets of basis tensors are also considered. It is shown that a least-squares approach is favourable compared to the Galerkin method. The corresponding optimality aspects are considered and it is deduced that Galerkin based EARSMs are not optimal in a more strict sense. EARSMs derived with the least-squares method are, on the other hand, optimal in the sense that the error of the underlying implicit relation is minimized. It is further demonstrated that the predictions of the least-squares EARSMs are in significantly better agreement with the corresponding complete EARSMs when tested for fully developed rotating turbulent pipe flow.

Place, publisher, year, edition, pages
Stockholm: KTH, 2006. viii, 34 p.
Series
Trita-MEK, ISSN 0348-467X ; 2006:04
Keyword
Direct numerical simulations, least-squares method, turbulence model, nonlinear modelling, system rotation, streamline curvature, high-lift aerodynamics
National Category
Fluid Mechanics and Acoustics
Identifiers
urn:nbn:se:kth:diva-3865 (URN)
Public defence
2006-03-17, Sal F2, Lindstedtsvägen 26, Stockholm, 10:15
Opponent
Supervisors
Note
QC 20100825Available from: 2006-03-08 Created: 2006-03-08 Last updated: 2010-08-25Bibliographically approved

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Wallin, StefanJohansson, Arne

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