Scaling of the irreducible SO(3)-invariants of velocity correlations in turbulence

Grossmann, Siegfried and Lohse, Detlef and Reeh, Achim (1998) Scaling of the irreducible SO(3)-invariants of velocity correlations in turbulence. Journal of statistical physics, 93 (3-4). pp. 715-724. ISSN 0022-4715

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Abstract:	The scaling behavior of the SO(3) irreducible amplitudes [..] of velocity structure tensors is numerically examined for Navier–Stokes turbulence. Here, l characterizes the irreducible representation by the index of the corresponding Legendre polynomial, and n denotes the tensorial rank, i.e., the order of the moment. For moments of different order n but with the same representation index l extended self-similarity (ESS) towards large scales is found. Intermittency seems to increase with l. We estimate that a crossover behavior between different inertial subrange scaling regimes in the longitudinal and transversal structure functions will hardly be detectable for achievable Reynolds numbers.
Item Type:	Article
Copyright:	© 1998 Springer
Faculty:	Science and Technology (TNW)
Research Group:	Physics of Fluids (POF)
Link to this item:	http://purl.utwente.nl/publications/24745
Official URL:	http://dx.doi.org/10.1023/B:JOSS.0000033250.57019.46
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