Controlling flow turbulence
Controlling flow turbulence
复制标题
控制流动湍流
作者：
S. Guan;Y. C. Zhou;G. Wei;C. Lai
本文研究了应用低维混沌系统控制Navier-Stokes方程湍流的可行性和有效性。通过使用全局钉扎耦合策略，我们表明，湍流可以被控制到所需的时变目标状态，包括空间扩展的周期性状态和湍流。指数收敛到目标状态的指数率线性缩放的耦合强度。当应用局部钉扎控制时，线性标度律就失效了。一个小波多尺度技术是利用本控制策略的有效性和二维湍流的逆能量传递的特征。
This paper investigates the viability and effectiveness of using a technique developed for low-dimensional chaotic systems to control flow turbulence governed by the Navier–Stokes equations. By using a global pinning coupling strategy, we show that turbulence can be controlled to desirable time-varying target states, including a spatially extended periodic state and a turbulent one. Exponential convergence to the target state is found and the exponential rate scales linearly to the coupling strength. The linear scaling law breaks down when localized pinning control is applied. A wavelet multiscale technique is utilized for the characterization of both the effectiveness of the present control strategy and the inverse energy transfer in two-dimensional turbulence.