Three-dimensional stability of a Burgers vortex
Three-dimensional stability of a Burgers vortex
复制标题
伯格斯涡旋的三维稳定性
DOI：
10.1017/s0022112003007341
复制
发表时间：
2004
影响因子：
3.7
通讯作者：
M. Rossi
中科院分区：
文献类型：
--
作者：
P. Schmid;M. Rossi
研究了叠加在伯格斯涡旋上的无穷小三维扰动的演化。通过一系列变量变换和缩放，这个线性演化问题被简化为一个与时间相关的系统，它几乎与控制 Lamb-Oseen 涡旋的稳定性方程相同。通过基于直接控制方程和伴随控制方程的迭代方案计算了有限时间间隔内扰动达到的最大放大率，并推导了伯格斯涡旋的渐近稳定性结果。尽管可能会发生显着的短期放大，但伯格涡旋被证明是渐近稳定的。
The evolution of infinitesimal three-dimensional perturbations superimposed on a Burgers vortex is studied. By a sequence of variable transformations and scalings this linear evolution problem is reduced to a time-dependent system which is nearly identical to the stability equations governing a Lamb–Oseen vortex. The maximum amplification reached by perturbations over a finite time interval is computed through an iterative scheme based on the direct and adjoint governing equations, and results on the asymptotic stability of the Burgers vortex are deduced. The Burgers vortex is shown to be asymptotically stable, although significant short-term amplification may occur.