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被动标量时间相关随机平流的壳层模型。

Shell model for time-correlated random advection of passive scalars.

作者信息

Andersen K H, Muratore-Ginanneschi P

机构信息

Niels Bohr Institute, Blegdamsvej 17, DK-2100 Copenhagen, Denmark.

出版信息

Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 1999 Dec;60(6 Pt A):6663-81. doi: 10.1103/physreve.60.6663.

DOI:10.1103/physreve.60.6663
PMID:11970587
Abstract

We study a minimal shell model for the advection of a passive scalar by a Gaussian time-correlated velocity field. The anomalous scaling properties of the white noise limit are studied analytically. The effect of the time correlations are investigated using perturbation theory around the white noise limit and nonperturbatively by numerical integration. The time correlation of the velocity field is seen to enhance the intermittency of the passive scalar.

摘要

我们研究了一个由高斯时间相关速度场对被动标量进行平流的最小壳模型。通过解析方法研究了白噪声极限下的反常标度性质。利用围绕白噪声极限的微扰理论并通过数值积分进行非微扰研究，考察了时间相关性的影响。结果表明，速度场的时间相关性增强了被动标量的间歇性。

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