Geometric properties of passive random advection

被引：12

作者：

Boldyrev, SA ^{[1
]}

Schekochihin, AA ^{[1
]}

机构：

[1] Princeton Univ, Princeton, NJ 08543 USA

来源：

PHYSICAL REVIEW E | 2000年 / 62卷 / 01期

关键词：

D O I：

10.1103/PhysRevE.62.545

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

Geometric properties of a random Gaussian short-time correlated velocity field are studied by considering the statistics of a passively advected metric tensor. That describes the universal properties of the fluctuations of tensor objects frozen into the fluid and passively advected by it. The problem of the one-point statistics of covariant and contravariant tensors is solved exactly, provided that the advected fields do not reach diffusive scales, which would break the symmetry of the problem.

引用

页码：545 / 552

页数：8

共 25 条

[1] Universal long-time properties of Lagrangian statistics in the Batchelor regime and their application to the passive scalar problem [J].