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Journal of Turbulence Volume 11, 2010 - Issue
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Original Articles

Velocity gradient invariants and local flow-field topology in compressible turbulence

Sawan Suman Aerospace Engineering Department, Texas A&M University, College Station, TX, USA
&
Sharath S. Girimaji Aerospace Engineering Department, Texas A&M University, College Station, TX, USA
Article: N2 | Received 22 Jun 2009, Accepted 07 Dec 2009, Published online: 24 Feb 2010
 
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Abstract

The effect of compressibility on velocity gradient structure and the related flow-field patterns/topology is investigated using direct numerical simulation data. To clearly isolate compressibility effects, the behavior is investigated as a function of local level of dilatation. Importantly, dilatation-conditioned behavior is found to be independent of Mach and Reynolds numbers. Not surprisingly, at low dilatation level, velocity gradient structure and local flow topology are similar to incompressible turbulence. At high dilatation levels, however, the behavior is quite different. A recently developed velocity gradient evolution equation – Homogenized Euler Equation (HEE) – qualitatively captures many of the observed features of compressible turbulence.

Acknowledgements

This work was supported by AFOSR (MURI) Grant No. FA9550-04-1-0425 (Program Manager: Dr. John Schmisseur).

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