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International Journal of Fluid Mechanics Research
ESCI SJR: 0.206 SNIP: 0.446 CiteScore™: 0.9

ISSN Imprimer: 2152-5102
ISSN En ligne: 2152-5110

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International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.v22.i2.20
pages 27-55

On Intrinsic Errors in Turbulence Models Based on Reynolds-Averaged Navier-Stokes Equations

James M. McDonough
Department of Mechanical Engineering, University of Kentucky, Lexington, KY 40506-0046, USA

RÉSUMÉ

Results from the recent literature are reviewed to demonstrate the prevalence of modeling errors throughout the construction of eddy viscosity and Reynolds stress turbulence closure models for the Reynolds-averaged Navier-Stokes equations of incompressible flow. A straightforward analysis is presented to show the effects of these errors on the temporal development and spatial distribution of errors in mean flow quantities. This analysis indicates that solutions to the Reynolds-averaged equations can coincide with correspondingly averaged solutions of the Navier-Stokes equations only in the case that exact Reynolds stresses are employed in solving the Reynolds-averaged equations. In all other cases an O(1) error is shown to occur. It follows that computed results obtained from the Reynolds-averaged equations with typical turbulence closure models cannot be equivalent to correspondingly averaged solutions of the Navier-Stokes equations.


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