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.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
