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

Siegfried Grossmann, Detlef Lohse, Achim Reeh

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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.
Original languageUndefined
Pages (from-to)715-724
Number of pages10
JournalJournal of statistical physics
Issue number93
Publication statusPublished - 1998


  • Fully developed turbulence - SO(3) invariants of velocity correlations - scaling exponents - intermittency - longitudinal vs. transversal velocity structure functions
  • METIS-129546
  • IR-24745

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