On the role of linear mechanisms in transition to turbulence
On the role of linear mechanisms in transition to turbulence
复制标题
线性机制在向湍流过渡中的作用
DOI：
10.1063/1.868251
复制
发表时间：
1994
影响因子：
4.6
通讯作者：
S. C. Reddy
中科院分区：
文献类型：
--
作者：
D. Henningson;S. C. Reddy
最近的工作表明，即使雷诺数低于线性稳定性（特征值）分析预测的临界值，线性机制也可能导致不可压缩流中小扰动能量的大幅瞬态增长。本文表明，线性增长机制对于由不可压缩纳维-斯托克斯方程控制的流的转变是必要的，并且线性化纳维-斯托克斯算子的非正态性是亚临界转变的必要条件。
Recent work has shown that linear mechanisms can lead to substantial transient growth in the energy of small disturbances in incompressible flows even when the Reynolds number is below the critical value predicted by linear stability (eigenvalue) analysis. In this note it is shown that linear growth mechanisms are necessary for transition in flows governed by the incompressible Navier–Stokes equations and that non‐normality of the linearized Navier–Stokes operator is a necessary condition for subcritical transition.