INERTIAL ORGANIZATION OF A 2-DIMENSIONAL TURBULENT VORTEX STREET

被引:27
作者
THESS, A [1 ]
SOMMERIA, J [1 ]
JUTTNER, B [1 ]
机构
[1] FORSCHUNGSZENTRUM ROSSENDORF, D-01314 DRESDEN, GERMANY
关键词
D O I
10.1063/1.868189
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
The formation of organized structures resulting from the evolution of two parallel opposite vortex sheets in a two-dimensional perfect fluid is studied, employing an equilibrium statistical theory. The system is confined in a channel in which periodic solutions of the statistical equilibrium equations are considered. It is found that the statistical equilibrium state of maximum entropy is a staggered arrangement of alternating vortex patches-the turbulent counterpart to the von-Karman vortex street. However, these vortices spread over the whole width of the channel and the pattern with the maximum allowed wavelength is always preferred: the confinement by the boundary conditions is essential. The theoretical predictions are supported by direct numerical simulations of the two-dimensional Navier-Stokes equation at high Reynolds number.
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页码:2417 / 2429
页数:13
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