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An explicit algebraic Reynolds stress model based on a nonlinear pressure strain rate model
KTH, Superseded Departments, Mechanics.
KTH, Superseded Departments, Mechanics.ORCID iD: 0000-0001-8692-0956
KTH, Superseded Departments, Mechanics.ORCID iD: 0000-0002-2711-4687
2004 (English)In: International journal of heat fluid flow, ISSN 0142-727X, Vol. 26, no 5, 732-745 p.Article in journal (Refereed) Published
Abstract [en]

The use of a pressure strain rate model including terms nonlinear in the mean strain and rotation rate tensors in an explicit algebraic Reynolds stress model (EARSM) is considered. For 2D mean flows the nonlinear contributions can be fully accounted for in the EARSM formulation. This is not the case for 3D mean flows and a suggestion of how to modify the nonlinear terms to make the EARSM formulation in 3D mean flows consistent with its 2D counterpart is given. The corresponding EARSM is derived in conjunction with the use of streamline curvature corrections emanating from the advection of the Reynolds stress anisotropy, The proposed model is tested for rotating homogeneous shear flow. rotating channel flow and rotating pipe flow and the nonlinear contributions are shown to have a significant effect on the predicted flow characteristics. In cases where the 3D effects are strong, the approximations of the production to dissipation ratio made in the EARSM formulation for 3D mean flows must be made carefully and a 3D mean flow correction is considered. For the rotating pipe flow at the highest rotation rate investigated. the standard formulation even prevented convergence, while inclusion of the 3D correction gives reasonable results

Place, publisher, year, edition, pages
2004. Vol. 26, no 5, 732-745 p.
Keyword [en]
turbulence modelling; earsm; nonlinear modelling; rotating flow; projection method
National Category
Mechanical Engineering
Identifiers
URN: urn:nbn:se:kth:diva-5409DOI: 10.1016/j.ijheatfluidflow.2005.04.004ISI: 000231888500005Scopus ID: 2-s2.0-23944451347OAI: oai:DiVA.org:kth-5409DiVA: diva2:9769
Note
QC 20100824Available from: 2006-03-08 Created: 2006-03-08 Last updated: 2010-12-06Bibliographically 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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