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Group analysis, direct numerical simulation and modelling of a turbulent channel flow with streamwise rotation

Published online by Cambridge University Press:  14 August 2006

M. OBERLACK
Affiliation:
Department of Mechanical Engineering, Technische Universität Darmstadt, Petersenstraße 13, D-64287 Darmstadt, Germany
W. CABOT
Affiliation:
Center for Turbulence Research, Stanford University, Stanford, CA 94305, USA UC/LLNL, PO Box 808, L-22, Livermore, CA 94551, USA
B. A. PETTERSSON REIF
Affiliation:
Norwegian Defence Research Establishment (FFI), NO-2027 Kjeller, Norway
T. WELLER
Affiliation:
Department of Mechanical Engineering, Technische Universität Darmstadt, Petersenstraße 13, D-64287 Darmstadt, Germany

Abstract

The turbulent channel flow with streamwise rotation has been investigated by means of several different analytical, numerical, and modelling approaches. Lie group analysis of the two-point correlation equations led to linear scaling laws for the streamwise mean velocity. In addition it was found that a cross-flow in the spanwise direction is induced, which may also exhibit a linear region. By further analysis of the two-point correlation equation, it is shown that all six components of the Reynolds stress tensor are non-zero. In addition certain symmetries and skew-symmetries about the centreline have been established for all flow quantities. All these findings of the analysis have been verified very well by means of direct numerical simulations (DNS). The flow has also been calculated with large-eddy simulations (LES) and second-moment closure models. The dynamic LES captured most of the theoretical and DNS findings quantitatively. Except for one stress component the second-moment closure model was able to capture most of the basic trends, but no quantitative agreement could be achieved.

Type
Papers
Copyright
© 2006 Cambridge University Press

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