Influence of velocity spatiotemporal correlations on the anomalous scaling exponents of passive scalars
Zhang Xiao-Qiang(张晓强)a)b)†, Wang Guang-Rui(王光瑞)b), and Chen Shi-Gang(陈式刚)b)
a Graduate School of China Academy of Engineering Physics, P O Box 8009(11), Beijing 100088, China; b Center for Nonlinear Studies, Institute of Applied Physics and Computational Mathematics, P O Box 8009(28), Beijing 100088, China
Abstract In this paper, we consider spatial-temporal correlation functions of the turbulent velocities. With numerical simulations on the Gledzer--Ohkitani--Yamada (GOY) shell model, we show that the correlation function decays exponentially. The advecting velocity field is regarded as a colored noise field, which is spatially and temporally correlative. For comparison, we are also given the scaling exponents of passive scalars obtained by the Gaussian random velocity field, the multi-dimensional normal velocity field and the She--Leveque velocity field, introduced by She, et al. We observe that extended self-similarity scaling exponents $H(p)/H(2)$ of passive scalar obtained by the colored noise field are more anomalous than those obtained by the other three velocity fields.
Received: 05 August 2008
Revised: 07 May 2009
Accepted manuscript online:
Fund: Project supported by the Major
Program of the National Natural Science Foundation (Grant No
10335010) and the National Natural Science Foundation--the Science
Foundation of China Academy of Engineering Physics NSAF (Grant No
10576005).
Cite this article:
Zhang Xiao-Qiang(张晓强), Wang Guang-Rui(王光瑞), and Chen Shi-Gang(陈式刚) Influence of velocity spatiotemporal correlations on the anomalous scaling exponents of passive scalars 2009 Chin. Phys. B 18 5117
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