Compressible turbulence: the cascade and its locality.

@article{Aluie2011CompressibleTT,
  title={Compressible turbulence: the cascade and its locality.},
  author={Hussein Aluie},
  journal={Physical review letters},
  year={2011},
  volume={106 17},
  pages={174502}
}
We prove that interscale 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 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 cospectrum, we show that mean kinetic… CONTINUE READING

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