论文标题
通过选择性修改Inviscid不变性，稳定二维湍流Kolmogorov流动
Stabilizing two-dimensional turbulent Kolmogorov flow via selective modification of inviscid invariants
论文作者
论文摘要
我们通过选择性地改变流动流动不变的（能量和胚胎）的变化时间来稳定二维湍流。早些时候，该方法已被证明可以改变二维未强制的腐烂湍流以达到稳态。但是，Kolmogorov流在一系列空间和时间尺度上表现出不稳定的流量，这些尺度由波浪数量$ k_f $驱动。通过分别通过称为直接和逆向能量级联的不同尺度的交互作用，分配给大型（$ k> k_f $）和小（$ k <k_f $）的小（$ k> k_f $）的能量（$ k \ of k_f $）分布到大型（$ k> k_f $）和小（$ k <k_f $）。选择性修改策略自动识别到管理方程式中的其他强迫输入，从而导致kolmogorov流向非平凡的稳态状态。我们证明，这种方法在改变级联反应级联方面非常有效，这是流体动力学中特别复杂的挑战。有趣的是，我们还发现，通过这种方法实现的稳态类似于原始的kolmogorov流的不变解，强调了我们方法的潜在意义。
We stabilize two-dimensional turbulent Kolmogorov flow by selectively altering the time rate of change of inviscid invariants (energy and enstrophy) of the flow. This method has earlier been demonstrated to modify the two-dimensional unforced decaying turbulent flow to reach steady states. However, Kolmogorov flow exhibits flow unsteadiness over a range of spatial and temporal scales which are driven by constant external forcing at wave number $k_f$. The energy injected at scale ($k \approx k_f$) is distributed to large ($k > k_f$) and small ($k < k_f$) wave numbers through interactions of different scales called direct and inverse energy cascading, respectively. The selective modification strategy autonomously identifies additional forcing inputs into the governing equations which results in the transformation of Kolmogorov flow into a non-trivial steady state. We demonstrate that this method is highly effective in altering the inverse energy cascading, a particularly intricate challenge in fluid dynamics. Intriguingly, we have also found that the steady states achieved through this approach resemble an invariant solution of the original Kolmogorov flow, highlighting the potential significance of our method.
