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Название: Scaling of the Irreducible SO(3)-Invariants of Velocity Correlations in Turbulence
Авторы: Grossmann S., Lohse D., Reeh A.
Journal of Statistical Physics, Vol. 93, Nos. 3/4, 1998, p. 715-724.
The scaling behavior of the SO(3) irreducible amplitudes d1_n(r) 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. Intermit-tency 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.