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On explicit algebraic stress models for complex turbulent flows

Published online by Cambridge University Press:  26 April 2006

T. B. Gatski  and
C. G. Speziale
T. B. Gatski
Affiliation:
NASA Langley Research Center, Hampton, VA 23681, USA
C. G. Speziale
Affiliation:
ICASE, NASA Langley Research Center, Hampton, VA 23681, USA Present address: Aerospace and Mechanical Engineering Department, Boston University, Boston, MA 02215, USA.
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Abstract

Explicit algebraic stress models that are valid for three-dimensional turbulent flows in non-inertial frames are systematically derived from a hierarchy of second-order closure models. This represents a generalization of the model derived by Pope (1975) who based his analysis on the Launder, Reece & Rodi model restricted to two-dimensional turbulent flows in an inertial frame. The relationship between the new models and traditional algebraic stress models – as well as anisotropic eddy viscosity models – is theoretically established. A need for regularization is demonstrated in an effort to explain why traditional algebraic stress models have failed in complex flows. It is also shown that these explicit algebraic stress models can shed new light on what second-order closure models predict for the equilibrium states of homogeneous turbulent flows and can serve as a useful alternative in practical computations.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 254 , September 1993 , pp. 59 - 78
Copyright
© 1993 Cambridge University Press

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