Controlling Flow Turbulence Using Local Pinning Feedback
TANG Guo-Ning1,2, HU Gang1,3
1Department of Physics, Beijing Normal University, Beijing 100875
2College of Physics and Information Technology, Guangxi Normal University, Guilin 541004
3Beijing-Hong Kong-Singapore Joint Center of Nonlinear and Complex Systems, Beijing Normal University, Beijing 100875
Controlling Flow Turbulence Using Local Pinning Feedback
TANG Guo-Ning1,2;HU Gang1,3
1Department of Physics, Beijing Normal University, Beijing 100875
2College of Physics and Information Technology, Guangxi Normal University, Guilin 541004
3Beijing-Hong Kong-Singapore Joint Center of Nonlinear and Complex Systems, Beijing Normal University, Beijing 100875
Abstract： Flow turbulence control in two-dimensional Navier--Stokes equation is considered. By applying local pinning control only to a single component of flow velocity field, the flow turbulence can be controlled to desirable targets. It is found that with certain number of controllers there exist an optimal control strength at which control error takes minimum value, and larger and smaller control strengths give worse control efficiency. The physical mechanism underlying these strange control results is analysed based on the interactions between different types of modes.
2006, Vol. 23 
