论文标题
循环统计和相互排除的湍流涡流结构的行为
Circulation Statistics and the Mutually Excluding Behavior of Turbulent Vortex Structures
论文作者
论文摘要
通过建模框架评估了经典均质和各向同性湍流流中速度循环的小统计特性，该模型框架汇集了乘法级联反应和湍流的结构描述。我们发现，涡流结构表现出短途的排斥相关性，当它们通过流量的平面切割作为二维涡流气体“在层压上”进行了“层合”研究时可以证明。从模型的改进中提出了这种现象，这使我们能够获得循环间歇性波动的准确多尺度描述。然后发现，从Navier-Stokes方程的直接数值模拟中，发现其有效平面涡旋的猜想硬盘行为的至关重要的新成分，从而得到了强有力的支持。
The small-scale statistical properties of velocity circulation in classical homogeneous and isotropic turbulent flows are assessed through a modeling framework that brings together the multiplicative cascade and the structural descriptions of turbulence. We find that vortex structures exhibit short-distance repulsive correlations, which is evidenced when they are "tomographically" investigated, by means of planar cuts of the flow, as two-dimensional vortex gases. This phenomenon is suggested from model improvements which allow us to obtain an accurate multiscale description of the intermittent fluctuations of circulation. Its crucial new ingredient, the conjectured hard disk behavior of the effective planar vortices, is then found to be strongly supported from a study of their spatial distributions in direct numerical simulations of the Navier-Stokes equations.
