https://doi.org/10.1140/epjb/e2005-00393-x
Controlling flow turbulence with moving controllers
1
Department of Physics, Beijing Normal University, Beijing 100875, P.R. China
2
College of Physics and Information Technology, Guangxi Normal University, Guilin
541004, P.R. China
3
Temasek Laboratories, National University of Singapore,
5 Sports Drive 2, 117508 Singapore
4
Beijing-Hong Kong-Singapore Joint Center of Nonlinear &
Complex Systems (Singapore), National University of Singapore, 117543 Singapore
5
Chinese Center for Advanced Science and Technology (World Laboratory), Beijing 8730,
P.R. China
6
Beijing-Hong Kong-Singapore Joint Center of Nonlinear &
Complex Systems (Beijing Normal University, Beijing)
Corresponding author: a ganghu@bnu.edu.cn
Received:
7
June
2005
Revised:
4
September
2005
Published online:
16
December
2005
In this work, we consider how to improve the efficiency of controlling flow turbulence in two-dimensional Navier-Stokes equations. We suggest a control strategy which applies local feedback injections by moving controllers. In the moving frame, this strategy is equivalent to adding a gradient force term in the governing equation. It is shown that with the moving controllers, flow turbulence can be controlled more efficient than the usual pinning strategy with static controllers, provided that the number of controllers and the injection energy are the same. The physical mechanism underlying this higher control efficiency is heuristically analyzed. The advantages and difficulties of the proposed control strategy in practical applications are discussed.
PACS: 05.45.Gg – Control of chaos, applications of chaos / 47.27.Rc – Turbulence control / 05.45.Xt – Synchronization; coupled oscillators
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2005