中国物理B ›› 2009, Vol. 18 ›› Issue (12): 5117-5122.doi: 10.1088/1674-1056/18/12/004
王光瑞1, 陈式刚1, 张晓强2
Zhang Xiao-Qiang(张晓强)a)b)†, Wang Guang-Rui(王光瑞)b), and Chen Shi-Gang(陈式刚)b)
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.
中图分类号: (Turbulence simulation and modeling)