A Local Instability Mechanism of the Navier–Stokes Flow with Swirl on the No-Slip Flat Boundary
A Local Instability Mechanism of the Navier–Stokes Flow with Swirl on the No-Slip Flat Boundary
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无滑移平面边界上带旋流的纳维-斯托克斯流的局部失稳机制
DOI：
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发表时间：
2018
影响因子：
1.3
通讯作者：
Tsuyoshi Yoneda
中科院分区：
文献类型：
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作者：
Leandro Lichtenfelz;Tsuyoshi Yoneda
Hsu等人（J Fluid Mech 794:444-459, 2016）通过对无滑移平面边界上具有旋流的轴对称Navier-Stokes方程进行数值模拟，观察到在靠近对称轴的边界上产生了一个高涡度区域。本文利用微分几何方法证明了这种流动确实具有不稳定效应，这种不稳定效应可以用边界上速度场导数的$$L^infty $$ L∞范数的下界来表示。
Using numerical simulations of the axisymmetric Navier–Stokes equations with swirl on a no-slip flat boundary, Hsu et al. (J Fluid Mech 794:444–459, 2016) observed the creation of a high-vorticity region on the boundary near the axis of symmetry. In this paper, using a differential geometric approach, we prove that such flows indeed have a destabilizing effect, which is formulated in terms of a lower bound on the $$L^infty $$L∞-norm of derivatives of the velocity field on the boundary.
鞍点和无滑移平坦边界附近轴对称纳维斯托克斯流的局部分析
影响因子：
3.7
作者：
P.-Y. Hsu;H. Notsu;T. Yoneda
通讯作者：
T. Yoneda