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Theoretical modeling of convection II. Reynolds Stress Model

Published online by Cambridge University Press:  01 August 2006

V. M. Canuto
V. M. Canuto*
Affiliation:
NASA, Goddard Institute for Space Studies, New York, NY 10025, USA email: vcanuto@giss.nasa.gov Dept. of Applied Math. and Physics, Columbia University, New York, NY, 10027
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Abstract

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The Reynolds Stress Model (RSM) yields the dynamic equations for the second-order moments (e.g., heat fluxes) needed in the equations for the mean variables (e.g., mean temperature). The RSM equations are in general time dependent and non-local. We first discuss the “buoyancy only” case and the tests of the non-local model against a variety of data. We also “plumenize” the model in order to exhibit the up-down flows that characterize convection so as to show that a non-local RSM is fully equipped to account for the “plume aspect” of buoyant flows. Next, we extend the RSM to account for stable and/or unstable stratification and shear, a formalism that is needed to describe the overshooting region contributed by differentail rotation. We conclude by discussing the equation for the dissipation of turbulent kinetic energy which plays a key role in any RSM.

Keywords

Convectionturbulencestars: interiors
Type
Contributed Papers
Information
Proceedings of the International Astronomical Union , Volume 2 , Symposium S239: Convection in Astrophysics , August 2006 , pp. 19 - 34
Copyright
Copyright © International Astronomical Union 2007

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