Stationary flows with highly localized vorticity of the incompressible viscous fluid at large Reynolds numbers
Stationary flows with highly localized vorticity of the incompressible viscous fluid at large Reynolds numbers
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大雷诺数下不可压缩粘性流体具有高度局域涡度的定常流
DOI：
10.1016/j.aml.2022.108500
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发表时间：
2023
影响因子：
3.7
通讯作者：
Okamoto Hisashi
中科院分区：
文献类型：
--
作者：
Kim Sun-Chul;Okamoto Hisashi
在本文中，我们给出了二维Navier-Stokes方程可能存在具有高度局域涡度的定常解的数值证据，即在大部分流动区域几乎为零，仅在其余小区域有明显的量级。这些解出现在高雷诺数、小纵横比的柯尔莫戈罗夫流中。此外，在涡度几乎为零的大部分区域，流线几乎是直线。
Herein, we present numerical evidence that the two-dimensional Navier–Stokes equations may possess stationary solutions with highly localized vorticity, that is, it is nearly zero in most of the flow region and is of appreciable magnitude only in the rest small region. These solutions appear in the Kolmogorov flows with small aspect ratios and high Reynolds numbers. Moreover, in most of the region where vorticity almost vanishes, the streamlines are nearly straight lines.