中国物理B ›› 2009, Vol. 18 ›› Issue (12): 5117-5122.doi: 10.1088/1674-1056/18/12/004

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Influence of velocity spatiotemporal correlations on the anomalous scaling exponents of passive scalars

王光瑞1, 陈式刚1, 张晓强2   

  1. (1)Center for Nonlinear Studies, Institute of Applied Physics and Computational Mathematics, P O Box 8009(28), Beijing 100088, China; (2)Graduate School of China Academy of Engineering Physics, P O Box 8009(11), Beijing 100088, China;Center for Nonlinear Studies, Institute of Applied Physics and Computational Mathematics, P O Box 8009(28), Beijing 100088, China
  • 收稿日期:2008-08-05 修回日期:2009-05-07 出版日期:2009-12-20 发布日期:2009-12-20
  • 基金资助:
    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).

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)   

  1. 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
  • Received:2008-08-05 Revised:2009-05-07 Online:2009-12-20 Published:2009-12-20
  • Supported by:
    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).

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摘要： 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.

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.

Key words: shell models, passive scalar, anomalous scaling exponents

中图分类号:  (Turbulence simulation and modeling)

  • 47.27.E-
47.52.+j (Chaos in fluid dynamics)