Compressible Turbulence: The Cascade and its Locality

Details Compressible Turbulence: The Cascade and its Locality Compressible Turbulence: The Cascade and its Locality

2011-01-03

arxiv.org/abs/1101.0455v1

Physics

Fluid Dynamics

4 pages, submitted to Phys. Rev. Lett

Scientific paper

We prove that inter-scale transfer of kinetic energy in compressible turbulence is dominated by local interactions. In particular, our results preclude direct transfer of kinetic energy from large-scales directly to dissipation scales, such as into shocks, in high Reynolds number turbulence as is commonly believed. Our assumptions on the scaling of structure functions are weak and enjoy compelling empirical support. Under a stronger assumption on pressure dilatation co-spectrum, we show that mean kinetic and internal energy budgets statistically decouple beyond a transitional "conversion" range. Our analysis establishes the existence of an ensuing inertial range over which mean SGS kinetic energy flux becomes constant, independent of scale. Over this inertial range, mean kinetic energy cascades locally and in a conservative fashion, despite not being an invariant.

Affiliated with

Also associated with

No associations

Rating

Compressible Turbulence: The Cascade and its Locality does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Compressible Turbulence: The Cascade and its Locality, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Compressible Turbulence: The Cascade and its Locality will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-238150