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Dynamical model for velocity-gradient evolution in compressible turbulence

Published online by Cambridge University Press:  19 August 2011

S. Suman  and
S. S. Girimaji
S. Suman*
Affiliation:
Department of Aerospace Engineering, Texas A&M University, College Station, TX 77843-3141, USA
S. S. Girimaji
Affiliation:
Department of Aerospace Engineering, Texas A&M University, College Station, TX 77843-3141, USA
*
†Email address for correspondence: [email protected]
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Abstract

Velocity-gradient evolution in compressible turbulence is modelled with an autonomous dynamical system of equations that are able to explain important non-isentropic, Mach-number and viscous effects. This enhanced homogenized Euler equation (EHEE) model is validated against the Burgers equation and direct numerical simulation (DNS) computations at the appropriate limits of Mach number. The EHEE model qualitatively captures crucial nonlinear physical features – especially various dilatational aspects of the flow field – observed in DNS over a range of Mach, Reynolds and Prandtl numbers. The model can serve as the basis of more quantitative statistical and stochastic closure models.

JFM classification

Turbulent Flows: Compressible turbulence Turbulent Flows: Homogeneous turbulence Turbulent Flows: Turbulence theory
Type
Papers
Information
Journal of Fluid Mechanics , Volume 683 , 25 September 2011 , pp. 289 - 319
Copyright
Copyright © Cambridge University Press 2011

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