Influence of velocity spatiotemporal correlations on the anomalous scaling exponents of passive scalars |
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Authors: | Zhang Xiao-Qiang Wang Guang-Rui and Chen Shi-Gang |
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Institution: | 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 |
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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. |
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Keywords: | shell models passive scalar anomalous scaling exponents |
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