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Modelling the pressure-strain correlation of turbulence - An invariant dynamical systems approachThe modeling of the pressure-strain correlation of turbulence is examined from a basic theoretical standpoint with a view toward developing improved second-order closure models. Invariance considerations along with elementary dynamical systems theory are used in the analysis of the standard hierarchy of closure models. In these commonly used models, the pressure-strain correlation is assumed to be a linear function of the mean velocity gradients with coefficients that depend algebraically on the anisotropy tensor. It is proven that for plane homogeneous turbulent flows the equilibrium structure of this hierarchy of models is encapsulated by a relatively simple model which is only quadratically nonlinear in the anisotropy tensor. This new quadratic model - the SSG model - is shown to outperform the Launder, Reece, and Rodi model (as well as more recent models that have a considerably more complex nonlinear structure) in a variety of homogeneous turbulent flows. Some deficiencies still remain for the description of rotating turbulent shear flows that are intrinsic to this general hierarchy of models and, hence, cannot be overcome by the mere introduction of more complex nonlinearities. It is thus argued that the recent trend of adding substantially more complex nonlinear terms containing the anisotropy tensor may be of questionable value in the modeling of the pressure-strain correlation. Possible alternative approaches are discussed briefly.
Document ID
19910058285
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Speziale, Charles G.
(NASA Langley Research Center Hampton, VA, United States)
Sarkar, Sutanu
(NASA Langley Research Center; ICASE Hampton, VA, United States)
Gatski, Thomas B.
(NASA Langley Research Center Hampton, VA, United States)
Date Acquired
August 15, 2013
Publication Date
June 1, 1991
Publication Information
Publication: Journal of Fluid Mechanics
Volume: 227
ISSN: 0022-1120
Subject Category
Fluid Mechanics And Heat Transfer
Accession Number
91A42908
Funding Number(s)
CONTRACT_GRANT: NAS1-18605
Distribution Limits
Public
Copyright
Other

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