Different intermittency for longitudinal and transversal turbulent fluctuations

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Abstract
Scaling exponents of the longitudinal and transversal velocity structure functions in numerical Navier–Stokes turbulence simulations with Taylor–Reynolds numbers up to Reλ=110 are determined by the extended self similarity method. We find significant differences in the degree of intermittency: For the sixth moments the scaling corrections to the classical Kolmogorov expectations are δξ6L=−0.21±0.01 and δξ6T=−0.43±0.01, respectively, independent of Reλ. Also the generalized extended self similarity exponents ρp,q=δξp/δξq differ significantly for the longitudinal and transversal structure functions. Within the She–Leveque model this means that longitudinal and transversal fluctuations obey different types of hierarchies of the moments. Moreover, the She–Leveque model hierarchy parameters βL and βT show small but significant dependences on the order of the moment.

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