Inertial organization of a two‐dimensional turbulent vortex street
Inertial organization of a two‐dimensional turbulent vortex street
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二维湍流涡街的惯性组织
DOI：
10.1063/1.868189
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发表时间：
1994
期刊：
影响因子：
--
通讯作者：
B. Jüttner
中科院分区：
文献类型：
--
作者：
A. Thess;J. Sommeria;B. Jüttner
利用平衡统计理论研究了二维完美流体中两个平行的相对涡片的演化所产生的有组织结构的形成。系统被限制在一个通道中，在这个通道中考虑了统计平衡方程的周期解。研究发现，最大熵的统计平衡状态是交错排列的交替涡旋斑块，即与冯-卡门涡旋街对应的湍流。然而，这些漩涡分布在通道的整个宽度上，并且具有最大允许波长的图案总是首选的：边界条件的限制是必不可少的。理论预测得到了高雷诺数下二维Navier-Stokes方程直接数值模拟的支持。
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.