Different intermittency for longitudinal and transversal turbulent fluctuations

被引：59
作者：
Grossmann, S
Lohse, D
Reeh, A
机构：
[1] Fachbereich Physik, Universität Marburg, D-35032 Marburg
来源：
PHYSICS OF FLUIDS | 1997年 / 9卷 / 12期
关键词：
D O I：
10.1063/1.869516
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
Scaling exponents of the longitudinal and transversal velocity structure functions in numerical Navier-Stokes turbulence simulations with Taylor-Reynolds numbers up to Re-lambda=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 delta xi(6)(L)=-0.21+/-0.01 and delta xi(6)(T)=-0.43+/-0.01, respectively, independent of Re-lambda. Also the generalized extended self similarity exponents rho(pq)=delta xi(p)/delta xi(q) 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 beta(L) and beta(T) show small but significant dependences on the order of the moment. (C) 1997 American Institute of Physics. [S1070-6631(97)03412-0].
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页码：3817 / 3825
页数：9
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