空间移位反馈控制流动湍流

Controlling Flow Turbulence Using Space-shift Feedback

对由二维Navier-Stokes方程描述的流动湍流的控制进行了研究。提出用空间移位反馈控制的方法来控制湍流,数值研究结果表明:只要适当选择控制参数,该方法能将湍流控制到规则的态上,如果采用单向空间移位反馈控制,该方法能将湍流控制到层流态上;如果采用双向交替空间移位反馈控制,该方法能将湍流控制到不同大小的规则涡旋态。在特定参数下,受控的涡还能保持不运动,从空间关联角度对控制机制作了简要分析。

Flow turbulence control in a two-dimensional Navier-Stokes equation is considered. A spaceshift feedback method to control turbulence is proposed. It is found that flow turbulence can be controlled to a regular state when control parameters are suitably chosen. Flow turbulence can be controlled to laminar flow using unidirectional space-shift feedback, whereas flow turbulence can be controlled to regular vortex states with different sizes of vortices using bidirectional space-shift feedback. The controlled vortex does not move when special control parameters are applied. The physical mechanism is briefly analyzed based on space correlation.