Lagrangian chaos and the effect of drag on the enstrophy cascade in two-dimensional turbulence

被引：45
|
作者：
Nam, K [1 ]
Ott, E
Antonsen, TM
Guzdar, PN
机构：
[1] Univ Maryland, Inst Plasma Res, Dept Phys, College Pk, MD 20742 USA
[2] Univ Maryland, Inst Plasma Res, Dept Elect Engn, College Pk, MD 20742 USA
来源：
PHYSICAL REVIEW LETTERS | 2000年 / 84卷 / 22期
关键词：
D O I：
10.1103/PhysRevLett.84.5134
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We investigate the effect of drag force on the enstrophy cascade of two-dimensional Navier-Stokes turbulence. We find a power law decrease of the energy wave number (k) spectrum that is faster than the classical (no-drag) prediction of k(-3). It is shown that the enstrophy cascade with drag can he analyzed by making use of a previous theory for finite lifetime passive scalars advected by a Lagrangian chaotic fluid flow. Using this we relate the power law exponent of the energy wave number spectrum to the distribution of finite time Lyapunov exponents and the drag coefficient.
引用
收藏
页码：5134 / 5137
页数：4
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