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On Euclidean invariance of algebraic Reynolds stress models in turbulence

Published online by Cambridge University Press:  10 March 2003

J. WEIS  and
K. HUTTER
J. WEIS
Affiliation:
Darmstadt University of Technology, Department of Mechanics, Hochschulstr. 1, 64289 Darmstadt, Germany
K. HUTTER
Affiliation:
Darmstadt University of Technology, Department of Mechanics, Hochschulstr. 1, 64289 Darmstadt, Germany
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Abstract

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This article shows how Euclidean invariance can be preserved in the so-called algebraic Reynolds stress model (ARSM) approximation. This approximation is used to reduce the transport equation for the Reynolds stresses to an explicit algebraic relation. A number of known models, which make use of this approximation, are not form-invariant under transformations to rotating coordinate systems. A simple extension is presented to show how this artifact can be removed.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 476 , 10 February 2003 , pp. 63 - 68
Copyright
© 2003 Cambridge University Press