Numerical renormalization group of vortex aggregation in two-dimensional decaying turbulence: The role of three-body interactions

被引:38
|
作者
Sire, C [1 ]
Chavanis, PH [1 ]
机构
[1] Univ Toulouse 3, UMR C5626 CNRS, Phys Quant Lab, F-31062 Toulouse, France
来源
PHYSICAL REVIEW E | 2000年 / 61卷 / 06期
关键词
D O I
10.1103/PhysRevE.61.6644
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
We introduce a numerical renormalization group procedure which permits long-time simulations of vortex dynamics and coalescence in a two-dimensional turbulent decaying quid. The number of vortices decreases as N similar to t(-xi), with xi approximate to 1 instead of the value xi=4/3 predicted by a naive kinetic theory. For short time, we find an effective exponent xi approximate to 0.7 consistent with previous simulations and experiments. We show that the mean square displacement of surviving vortices grows as < x(2)>similar to t(1+xi/2). Introducing effective dynamics for two- and three-bed!, collisions, we justify that only the latter become relevant at a small vortex area coverage. A kinetic theory consistent with this mechanism leads to xi=1. We find that the theoretical relations between kinetic parameters are all in good agreement with experiments.
引用
收藏
页码:6644 / 6653
页数:10
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