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Intercomponent energy transfer in incompressible homogeneous turbulence: multi-point physics and amenability to one-point closures

Published online by Cambridge University Press:  28 August 2013

Aashwin A. Mishra  and
Sharath S. Girimaji
Aashwin A. Mishra*
Affiliation:
Aerospace Engineering Department, Texas A&M University, College Station, TX 77840, USA
Sharath S. Girimaji
Affiliation:
Aerospace Engineering Department, Texas A&M University, College Station, TX 77840, USA
*
†Email address for correspondence: aashwin@neo.tamu.edu
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Abstract

Intercomponent energy transfer (IET) is a direct consequence of the incompressibility-preserving action of pressure. This action of pressure is inherently non-local, and consequently its modelling must address multi-point physics. However, in second moment closures, pragmatism mandates a single-point closure model for the pressure–strain correlation, that is, the source of IET. In this study, we perform a rapid distortion analysis to demonstrate that for a given mean-flow gradient, IET is strongly dependent on fluctuation modes and critically influences the flow stability, asymptotic states and their bifurcations. The inference is that multi-point physics must be characterized and appropriately incorporated into pressure–strain correlation closures. To this end, we analyse and categorize various multi-point characteristics such as: (i) the fluctuation mode wavevector dynamics; (ii) the spectral space topology of dominant modes; and (iii) the range of IET behaviour and statistically most likely (SML) outcomes. Thence, this characterization is used to examine the validity and limitations of current one-point closures and to propose directions for improving the fidelity of future models.

JFM classification

Turbulent Flows: Turbulence modelling Turbulent Flows: Turbulence theory Turbulent Flows: Rotating turbulence
Type
Papers
Information
Journal of Fluid Mechanics , Volume 731 , 25 September 2013 , pp. 639 - 681
Copyright
©2013 Cambridge University Press 

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