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Second moment closure near the two-component limit

Published online by Cambridge University Press:  01 February 2006

ROBERT RUBINSTEIN  and
SHARATH S. GIRIMAJI
ROBERT RUBINSTEIN
Affiliation:
Computational Aerosciences Branch, NASA Langley Research Center, Hampton, VA 23681, USA
SHARATH S. GIRIMAJI
Affiliation:
Department of Aerospace and Mechanical Engineering, Texas A&M University, College Station, TX USA
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Abstract

The hypothesis that turbulence evolution can be described by kinetic energy, dissipation, and the Reynolds stresses alone is the basis of current second moment closures. This hypothesis is shown to be inconsistent with the Navier–Stokes equations at the two-component limit, because it implies that initially two-component turbulence remains two-component for all times. The inconsistency can be traced to the Markovian stress evolution imposed by the hypothesis; even Markovian spectral closures cannot predict evolution from a two-component initial state. Some implications of these findings for imposing realizability constraints on turbulence models are discussed.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 548 , 10 February 2006 , pp. 197 - 206
Copyright
© 2006 Cambridge University Press

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